The seller bought a batch of pens and sold them. Mathematical Olympiads and Olympiad problems

Consumer Rights Protection Law No. 2300-1 of February 07, 1992 (arts. 18 and 25) entitles a consumer who finds any defects in the purchased product to return the product to the seller or exchange the product for another, and in the case when the purchased product does not fit according to its external features (color, style, etc.), it can be exchanged for another similar product. This rule works for any payment method for the purchased goods. That is, when a product is purchased with borrowed bank funds under a consumer lending agreement, the rule will work.

But, in connection with the emergence of new obligations under the concluded loan agreement, some additional points appear. An additional complicating factor may be a concluded collateral agreement to secure a loan, in which case all actions to dispose of the purchased goods, including its return, are agreed with the bank, in accordance with the Civil Code of the Russian Federation (clause 1 of article 334.1, clause 2 of article 346 ). Let's figure it out how to return or exchange goods purchased on credit according to the Consumer Protection Act.

Terms of the loan agreement and the agreement on the pledge of goods

A consumer lending agreement may contain a provision on the procedure for returning and exchanging goods. If there is such a provision in the contract, in it, in accordance with paragraphs 4, 9 and 10 of Art. 5, Art. 11 of Law No. 353-FZ of December 21, 2013, there may be conditions for terminating a loan agreement on the basis of termination of the sale and purchase agreement, as well as a period for notifying the bank of early repayment of the loan amount.

The Civil Code of the Russian Federation (Article 346, paragraph 2) describes the legal procedure for the alienation of the purchased goods and the return of the deposit.

You must demand to terminate the contract for the sale of goods, return the goods or exchange them for a similar product or for a product of the same brand.

When expressing a demand to return the goods upon termination of the contract, you must indicate in the claim the details of your bank account for the transfer of funds for the return as payment for the loan for the goods. If a defective product is returned, interest under the consumer loan agreement and other payments under the agreement will be transferred to this account. According to the Law on Consumer Protection No. 2300-1 (Article 22, paragraph 6 of Article 24), the amount must be returned within ten days from the date of receipt of your claim.

The claim is drawn up in writing in two copies, one of which, with the seal and signature of the person who accepted your claim, you keep. You can submit a claim in person or send it by registered mail with acknowledgment of receipt and a description of the attachment.

If the seller refuses to accept the claim, it can be transferred in the presence of two witnesses. The testimony of witnesses that the seller refused to accept the claim will have weight in the future.

If a low-quality product is returned, the seller must, at his own expense, conduct an examination of its quality (see Law No. 2300-1, clause 5, article 18).

The act of returning the goods together with the representative of the seller and receiving money for the goods

A document confirming to the bank that the goods have been returned to the seller is an act of returning the goods.

If the goods are not returned, but exchanged, the seller must issue you new documents for the goods.

If a return is made, then the seller must return to the buyer a part of the price of the goods that the buyer paid as a down payment. The money is returned to the buyer's bank account (if the down payment was paid by card), or transferred to him from the store's cash desk.

If the buyer returns a low-quality product, then the seller will transfer the interest and payments under the loan agreement to the buyer after he receives payment documents that confirm the fact that the consumer has paid bank interest and payments under the loan agreement.

When the consumer returns the goods bought on credit, only the contract of sale is terminated. The loan agreement has not yet been terminated, therefore, payments on it continue until the moment of termination, otherwise there will be penalties from the bank, in accordance with Art. 811 of the Civil Code of the Russian Federation.

We apply to the bank to terminate the loan agreement and the pledge agreement

The bank must write a statement listing the following facts:

  1. An application for early termination of a loan agreement and a pledge agreement on the basis of termination of the contract for the sale of goods is written if the goods purchased on credit are returned to the seller without exchange or replacement.
  2. An application for changing the loan agreement and the pledge agreement is written in the case when you exchanged or changed the goods at the seller.

When returning a purchase to the bank, you must proceed as follows:

  1. Submit to the bank an act on the return of the goods, a claim for the return of the goods to confirm the fact of the return.
  2. Return to the bank the loan amount and accrued interest for the past period of using the loan.
  3. Get a certificate from the bank on the full cost of the loan, as well as on the execution of the loan agreement and on closing the loan account.
  4. If the amount on the loan account is more than necessary for the early repayment of the loan, it is necessary to submit an application for the issuance of funds. The difference is issued by the bank without opening additional accounts and without paying a commission.

If the consumer exchanges a low-quality product or replaces it with a similar one, he must submit the following documents to the bank:

  1. Certificate of return of goods and claim for the return of goods.
  2. Documents for a new product that the seller provided to you.

Please note that in case of early repayment of the loan, you must notify the bank 30 calendar days in advance, unless otherwise specified in the consumer loan agreement itself (see parts 3, 4 of article 11 of Law No. 353-FZ). However, if less than 30 days have passed since the opening of the loan, this rule does not apply, and you can terminate the loan early without notice.

6th grade

6.1.

6.2.

cutting example).

6.3.

6.4.

boxes.

6.5.

Why did she decide so?

7th grade

7.1. Find some natural number such that if you add the sum to it

its digits, it will be 2222.

7.2. Mom bought 10 large cakes, 7 medium and 4 small ones. small

a cake weighs half the average, and a large one three times the size of a small one. How

mother to divide them among six children so that the total weight of the cakes inherited

everyone, was the same, if she doesn't want to cut the cakes?

7.3. The train, moving at a constant speed, by 17:00 traveled 1.2 times longer distance,

than by 4:00 pm. When did the train leave?

7.4. How to cut a 6x6 checkered square into four identical ones

figures of perimeter 16 each, if you can cut only on the sides of the cells?

The cell side is 1.

7.5. Twenty-seven classmates ate sweets at the first and second breaks,

and at the second break everyone ate one candy more than at the first. Petya

said that he counted the total number of sweets eaten and got the answer 210.

Did he count correctly? Explain your answer.

6th grade

6.1. Find all three digit numbers whose second digit is four times the first

and the sum of all three digits is 14.

6.2. A 1x1 central square was cut out of a 5x5 checkered square. cut

the remaining figure into 4 equal checkered figures. (Bring one

cutting example).

6.3. Half of the total number of apples was taken from a box of apples, then another half

the remainder, then half of the new remainder, and finally half of the next remainder.

After that, 10 apples remained in the box. How many apples were in the box at the beginning?

6.4. There are Christmas balls in three boxes: one contains two red ones, the other one contains a red one.

and blue, in the third - two blue balls. On the boxes it is written: "Two red", "Red

and blue”, “Two blue”. It is known that none of the inscriptions is correct.

How, having pulled out only one ball, to determine which box contains which balls?

Specify from which box it should be taken and how to determine the contents later

boxes.

6.5. Three friends brought sweets to school. The second brought twice as much

sweets than the first, and the third - three times more than the first. They put everything together

candy together. After the friends ate 3 sweets, the first one left, and the second

Divide the rest of the sweets equally. The third told the second that she was wrong.

Why did she decide so?

8th grade

8.1.

What is the wholesale price of the pen?

8.2.

8.3. a and b satisfying the equality

a 2 +b=b 2 + a

8.4.

8.5.

Grade 9

9.1. Find the area of ​​a square all of whose vertices lie on two straight lines:

x+ y= 0 and x+ y= 2 .

9.2. On a small island, 2/3 of all men are married and 3/5 of all women are married.

How many people on the island are married if there are 1900 people living there?

9.3. On a circle with a diameter AB and center O point C is chosen so that

angle bisector CAB perpendicular to radius OC . In what way is the direct CO

divides angle ACB?

9.4. Find the number of three-digit numbers whose decimal notation involves

exactly one number 3.

9.5. Mom wants to punish Petya for a deuce in mathematics. They agreed on

next. Petya thinks of a two-digit number with different digits and reports it

mom. After that, mom calls her two-digit number to Petya. Petya adds

mother's number to her number, then to the amount received, then to the newly received

amount, etc. until he gets an amount ending in two

the same numbers. Can mom not let Petya play football that day?

8th grade

8.1. The trader has bought a batch of pens in the wholesale market and offers the buyers either

one pen for 10 rubles, or three pens for 20 rubles. However, in both cases it

receives the same profit (the difference between buying a product and selling it).

What is the wholesale price of the pen?

8.2. In a right triangle, the bisector of an acute angle is equal to one of two

segments into which she divided the opposite side. Prove that she

twice as long as the second of these segments.

8.3. Find the sum of two different numbers a and b satisfying the equality

a 2 +b=b 2 + a

8.4. Three students A, B and C were running the 100m. When A ran to the finish line, B

was 10m behind him, also when B finished C was 10m behind him.

how many meters did A get ahead of C at the finish line?

8.5. At Masha's birthday party, each of the 10 guests had an equal number of

candy. During tea drinking, the first one ate one candy, the second two, the third three, and

etc., tenth - 10 sweets. Masha wanted to shift before the second tea party

sweets so that again in front of each lay an equal number of sweets, but dad,

without looking at the table, said that she could not do it. Why did he decide so?

Preview:

6th grade

6.1. Answer. 149 and 284.

If the first digit is at least 3, then the second is at least 12, which is impossible. Means,

6.2. One example is shown in Figure 1. This example is not the only one.

Rice. one

6.3. Answer. 160 apples.

When half of the apples are taken out of the box, half of that

the amount that was before. So, before that there were twice as many apples.

Therefore, at the beginning there were 10x2x2x2x2 = 160 apples in the box.

6.4. Answer. From the Red and Blue box.

It follows from the condition that this box contains either two blue balls or two red ones. Taking out

one ball, we will know the contents of this box. If it contains two blue balls, then

the one that says "Two Reds" will have multi-colored balls, since it does not

two red ones (by condition) and not two blue ones (they are in the first box). In a box with

the inscription "Two blue" - two red balls. If we took out a red ball, then,

similarly, in the box "Two blue" - multi-colored balls, and in the box "Two red"

- blue balls.

6.5. Answer. Because the number of remaining candies must be odd.

The total number of sweets brought is even. This can be explained as follows: the second

the girl brought an even number of sweets - this follows from the condition. And the first and

the third is the number of candies of the same parity (because an odd number tripled is odd, and an even number tripled is even). So the total is an even number of candies. Otherwise, algebraically. The number of sweets brought is x 2 x 3 x 6 x 2 3 x - even number. The girls ate 9 sweets at recess - an odd number. Therefore, they must have an odd number of sweets, and it will not be possible to divide it equally.

7th grade

7.1. Answer. 2209.

2209 + (2 +2 + 0 + 9) = 2222.

7.2. Answer. For example, like this: give five people two large cakes and one

medium, and the sixth - two medium and all four small.

Let m is the weight of the small cake, then the average weighs 2 m , and large - 3 m .

The total weight of all cakes is: 4 m 7 2 m 10 3 m 48 m , so one child

should get cakes with a total weight of 8 m .

7.3. Answer. At 11:00.

If the distance covered by the train by 16:00 is S , then by 17:00 he drove the way 1, 2S.

So, in the last hour the train has passed 0.2S , that is, a path of length S he travels in 5

hours. The initial time of movement is 16 - 5 = 11 (hours).

7.4. The answer is shown in Figure 2.

Rice. 2

7.5. Answer.

7.5. Answer. He made a mistake.

The sum of two consecutive numbers is the sum of two numbers of different parity, and

therefore it is odd. This means that each of the classmates ate an odd number of sweets.

Odnoklassniki - an odd number (27), and the sum of the odd number of odd

numbers is odd and cannot equal 210.

8th grade

8.1. Answer. 5 rub.

If x - the wholesale price of a pen, then when selling one for 10 rubles. the seller receives

profit 10 – x (rub.). Selling three pens for 20 rubles. he makes a profit 20 - 3 x

(rub.). By condition 10 - x \u003d 20 - 3 x, whence x \u003d 5 (rubles).

8.2. Let AL - acute angle bisector CAB right triangle ABC

(ACB 90) and, by convention, AL BL . Then if CAB 2 , then LAB , and hence ABL . The sum of the acute angles of a triangle ABC equals 3 , whence 30 .

Then in a right triangle ACL the leg lying opposite the angle of 30 is equal to

half of the hypotenuse, from where

CL AL . The assertion has been proven.

8.3. Answer. one.

Let's transform this equation: a 2 b 2 (a b ) 0 or (a b )(a b 1) 0 . By

condition, these numbers are different. Therefore, the first parenthesis is non-zero. Means,

a b 1 0 , whence a b 1.

8.4. Answer. At 19 m.

It follows from the condition that the speed of the student B A , and

student speed C is 0.9 of the student's speed B . It follows that

student speed C is 0.81 of the student's speed A. So when A runs

100m, student C will run 81m.

8.5. Answer. Because the number of candies left was odd, that is, it could not

divide by 10.

At the beginning, the number of candies was even, since it was divisible by 10. The total number of candies eaten at the beginning is 1 + 2 + 3 + ... + 10 = 55 - an odd number.

Therefore, the number of remaining candies is odd, as the difference between even and odd

numbers.

Grade 9

9.1. Answer. 2.

The side length of this square is the distance between the lines x y 0 and x y 2 , so

as on each of the straight lines - two vertices of the square. And this distance is

distance from the origin of coordinates to the line x y 2 intersecting the coordinate axes at a distance of 2 from the origin. So the required distance is the height in

an isosceles right triangle with legs of length 2, which is equal to 2.

9.2. Answer. 1200 people.

Let x - number of men y is the number of women on this island. From the condition

follows that

x y , in addition, x y 1900 . Solving this system, we get:

x 900, y 1000 . Hence the number of married men is

900 600

And the general

The number of married people is 1200.

9.3. Answer. 2:1.

Angle bisector CAO is the height of the triangle CAO , so CA AO . But

OA OC - as radii, so a triangle CAO - equilateral. Then

ACO 60 . Also, in an isosceles triangle OCB (OC OB)

COB 120 so OCB 30 (otherwise it can be obtained using

the fact that ACB - based on the diameter, is equal to 90).

9.4. Answer. 225.

If a three-digit number has the number 3 in the first place, then the other two digits are

arbitrary other than 3. Hence, the second place can be any of the 9 other

digits, and on the third - any of the 9 other digits - a total of 9x9 = 81 options. If the troika

is in second place, then any number except 3 and 0 can be in first place, and

the last - any, except for the triple. In total, 8x9 = 72 options are obtained. As many

We will get options if the triple is in last place. Total: 81 + 72 +

72 = 225 options.

9.5. Answer. Will be able.

If Petya thinks of a number with two digits of different parity, then mom needs to be called,

for example, the number 20. Then the parity of each of the last two digits after each

additions will be saved and these numbers will never match. If the numbers

Petya's numbers will be of the same parity, then it is enough for mom to name the number 50. After

for every two additions, the last two digits will be repeated, i.e. will not

match, and after the first (third, fifth, etc.) addition, these numbers will be

have different parity, i.e. don't match either.


Sell ​​me that pen is the question that is asked of new recruits who are interviewing. This is a standard technique that is very effective. Within a minute or two, a recruiting agent (well, or who conducts interviews there?) will be able to understand whether the candidate is suitable. People's reactions to this question are as follows:

  1. The first category of people are lost and do not understand what to do. They were caught off guard and have no idea what to say or how to sell this fucking pen (sorry for the jargon).
  2. The second category of candidates is using type template expressions: this is a very good pen that will never let you down. The ink is of high quality, the pen itself is of high quality and reliable! Buy it and you won't regret it for sure.
  3. The third category is creative and creative individuals who eventually get a job. Their answers to questions like “sell me a pen” are unconventional and original. They make even the most experienced recruiting agents who have heard a variety of versions admire.

A simple example?

Understand the essence: in order to sell a pen to a person, first of all, he must be motivated to buy, i.e. you should be willing to buy it. Here is a simple example:

- sell me this pen (a recruitment agent will tell you and at the same time he will definitely offer his pen - you will have to sell it);

(here you need to motivate him to buy)

- Good. Will you give me your autograph? (tell you)

- Yes, but I don’t have a pen (the interlocutor will answer. He gave it to you, after all).

- then buy mine (you will answer and offer the subject of trade).

Your interlocutor will have no choice but to buy a pen, because he promised to give you an autograph.

Here is a simple example - a video from the wonderful film "The Wolf of Wall Street" (I recommend watching it):

It is this method that is very effective at the moment, but in reality, sooner or later it will become hackneyed.

Another example of selling a pen at an interview

The big boss was recruiting a young man. As expected, he asked to sell him a pen. This was a very cool pen (most likely a valuable gift), expensive and with a gold lining.

The candidate naturally agreed. He tried to praise her and offer her in various ways to the boss, but he refused, explaining his position by the fact that he already had a pen.

- well, if you don’t want to buy, you don’t need to, - the young man answered;

- you quickly gave up, - the chief answered;

- then it's time for me to leave (gets up and leaves), - the candidate answers;

- wait!, - the chief shouts - you have to give me my pen;

Yeah, I see you've changed your mind. You're in luck, I already agree to sell the pen at half price;

Stop joking, I need my pen! Get her back now. Otherwise, I'll call the guards;

- take it. But keep in mind: I was able to motivate you - the young man answered, gave the pen and left.

The boss thought for a while and realized that this was the best candidate he had ever interviewed. Later, it was he who got the job.

Instead of conclusions

In order to sell a pen at an interview, you need to motivate the interlocutor to buy. The easiest way to do this is to ask for an autograph or do as the young man did. It makes no sense to praise her corny - this is not what recruiting agents are waiting for. Preference is given to people who were able to show creativity and ingenuity.

Lev Nikolaevich Tolstoy, as you know, was not only a “great Russian writer”, but also a talented teacher (by the way, 4brain has something useful for teachers). His approach was an individual attitude to each student and the absence of traditional school discipline. In the Yasnaya Polyana school, the children sat where they wanted, for as long as they wanted, and for as long as they wanted. The main task of the teacher, according to Tolstoy, was to interest students in various examples, life tasks, and if there is interest, then the child himself will want to learn and learn more (here is such a “Tolstoy”).

And one of the examples of the ability to interest students was the famous problem about the hat, and this problem has reincarnated today and has become a real Internet meme. The condition of the task is:

The seller sells a hat. Worth 10 r. The buyer comes up, measures and agrees to take it, but he only has a banknote of 25 rubles. The seller sends the boy with these 25 rubles. exchange for a neighbor. The boy comes running and gives 10+10+5. The seller gives a hat and change of 15 rubles. After some time, a neighbor comes and says that 25 rubles. fake, demands to give her money. What should I do. The seller climbs into the cash register and returns the money to her. How much was the seller deceived (including the cost of the hat)?

At first glance, the conditions are simple, but practice shows that there are more wrong answers than correct ones. And if you want to test yourself, try to find the answer yourself before you go to the solution ( prompt: there are no tricks in the task that are designed to divert attention, and there is also no dual interpretation of terms).

Do you like riddles, educational games, puzzles and tests? Get access to all interactive materials on the site to develop more efficiently.

Answer and solution

Before showing you the solution to this problem, I would like to note that there are many solutions. But I noted that it is rare to find such a solution that could prove its truth for absolutely any person the first time.

The most popular solution goes something like this:

The seller gave the buyer 15 rubles from his pocket and a hat that costs 10 rubles. And the saleswoman should not be taken into account at all, since he took 25 rubles from her and returned it back. That is, the correct answer is 25 rubles.

Some conclusions seem doubtful to me, because they are (that is, a number of premises are omitted for them). Therefore, let's try to understand the situation using a simple accounting form:

Indeed, it turns out that the seller, compared to the initial situation (before all transactions), remains:

  • Without a hat
  • Without 15 rubles at the box office (compared to the amount that was originally)

I would also like to note that often, when people give an initially wrong solution, they begin to engage in demagogy. For example, they find fault with the word "deceived", saying that perhaps the buyer did not know that he was giving counterfeit money (but in this case, those who produced the counterfeit bill were deceived). Or they say that in the end, the seller must return a counterfeit bill, which is also worth something. Naturally, any task is a model of a life situation and it does not describe all the subtleties, but allows any words to be interpreted as you like.

But many of these arguments are rather weak, which allows us to say that the correct solution to this problem is still.





There were 5 students in one class. One of them drew very well and quickly. The teacher gave him the task to draw all those students who cannot draw themselves. The student began to reason and got confused, should he draw himself or not? If he can draw himself, then he should not draw himself, because he can draw himself. But if he does not draw himself, he must still draw himself. What should he do?


Answer

Two diggers need to dig a trench for 2 francs. The first digs at the same speed as the second throws the soil. The second digs four times faster than the first throws out the soil. How can they share the money received after the work is done?


Answer

A man and a woman sit next to each other. "I am a woman," says the man with dark hair. "I'm a man," says the blond-haired man. Of these, at least one definitely told a lie. Who do you think told the lie? Or are they both lying?


Answer

Three couples (husbands and wives) received for all a week's wages in the amount of 1000 pounds. In total, the wives received 396 pounds. Diana received 10 pounds more than Katya, and Maria received 10 pounds more than Diana. Dmitry Smirnov received as much as his wife, Georgy Sidorov received one and a half times more than his wife, Timofey Ivanov received twice as much as his wife. Think and answer, who is married to whom, who received money and how much?


Answer

One gentleman left an inheritance of 1,320 pounds to his four sons. If the third brother had received a share from the fourth, he would have received as much as the sum of the first and second brothers. If the share of the fourth brother went to the second son, then he would receive twice as much as the sum of the first and third. How much money did each of the four sons receive?


Answer

One person, traveling through the forest thickets of the Amazon, accidentally fell into captivity with the local aboriginal natives. The aborigines were a cruel tribe and informed him that he was to be executed, but in what way - it was up to him. If he tells a lie, he will be thrown off a cliff, and if he tells the truth, he will be hanged. What must the traveler say to stay alive?


Answer

Two businessmen decided to open a joint business. The first businessman invested 1.5 times more than the second. Later, they decided to invite a third businessman into their business, but the amount of the total contributions remains unchanged. A third businessman contributed £2,500. This amount must be divided between two other businessmen so that the contributions of all three businessmen become the same after that. How should 2,500 pounds be divided among three?


Answer

One rich man left a will, according to which his two nephews receive 200,000 francs as an inheritance. If a third of the amount received by the first nephew is subtracted from a quarter of the amount received by the second nephew, then 22,000 francs remain. How much money did each of the nephews receive, according to the will?


Answer

There is a seven-liter vessel filled with water to the brim (i.e. with seven liters of water). There are also 2 empty vessels for 3 and 4 liters. How to make 4 transfusions so that there are 2 liters of water in a 3-liter vessel?


Answer

One person bequeathed an inheritance in the amount of a little less than 1,500 pounds. The amount was divided among his five children, and a small part went to the notary. The square root of the share of the first son, half of the inheritance of the second, the share of the third minus £2, the share of the fourth plus £2, double the share of the fifth son, and the sum for the notary squared were equal. Each of the sons and the notary received a whole number of pounds. What was the amount left as a legacy?


Answer

One person came to the store. He spent half of the money on groceries, and for 5 cents he bought gum. He then bought a recipe book with half the remaining amount plus 10 cents. Of the remaining amount, half went to buy a calendar, and for 15 cents he bought a hot dog. In the end, he only had 5 cents left. How much cash did he initially have in the store before shopping?


Answer

There are 9 identical coins, but one of them is lighter than the others. It is necessary to find this coin in two weighings on the scales. Scales - ordinary with two cups, i.e. lever.


Answer

Nine gamblers once gathered in their narrow circle. They decided to play a game of giving money. The first gives each other as much money as each already had. Then he also does the second, i.e. distributes money to the other eight, how much they each have. And so on, all 9 players do it in turn. In the end, it turns out that all players have the same amount of money. How much money did each player originally have?


Answer

One person constantly offers another to buy a piano from him. At first he asked for £1,024 for the piano, when he was refused, he asked for an already reduced price of £640. Having been refused again, he asked for 400 pounds. After another refusal, he asked for 250 pounds. What do you think, if the seller receives a new refusal, then what new amount, judging by the dependence of the decrease, will the piano seller ask for?


Answer

There are two buckets. In one 5 liters of water, in the other the same amount of alcohol. 0.5 liters were taken from a bucket of water and poured into a bucket of alcohol. After thorough mixing, 0.5 liters of the mixture was taken from a bucket with alcohol and 0.5 liters of water and poured into a bucket of water. Which of the following statements do you think is correct:

A) There is more alcohol in a bucket of water than in a bucket of alcohol in water.
B) There is more water in a bucket of alcohol than there is alcohol in a bucket of water.
C) There is as much water in a bucket of alcohol as there is alcohol in a bucket of water.
D) There is no correct answer.


Answer

One person who buys goods for the company bought in one hardware store: a number of refrigerators at 344 pounds and a number of televisions at 265 pounds. The cost of all refrigerators is more than the cost of all televisions by 33 pounds. What is the smallest number of refrigerators and televisions he could buy?


Answer

One merchant bought a batch of denim trousers for a total of 6,000 francs. He left 15 jeans for himself, while he sold the rest in his boutique for a total of 5400 francs. After the sale, the entrepreneur received 10 francs of profit from each piece of jeans sold. How much did the entrepreneur buy denim trousers initially?


Answer

There are four people in line. Semyon is between Boris and Masha. Masha stands in front of two other people, Dima takes a place in front of Masha. Who is first, second, third and fourth in line?


Answer

One person was addicted to hoarding one dollar bills, 50 cents and 25 cents. Once he had accumulated a sufficient amount of them, and all 3 types of money were in equal amounts. The man decided to arrange them in 8 bags so that each had the same amount of each of the 3 types of money. The next day, the person laid out the same money in 7 bags. The next day, he laid out the same money in 6 bags. A day later, he tried to decompose according to the same rules into 5 bags, but this did not work out for him. What is the smallest amount of dollars that this person could bag?


Answer

Two street vendors sold plums, one for 2 and the other for 3 for one cent. Both traders expected to sell the plum for 25 cents jointly. When each of them had 30 unsold plums left, they left for lunch, but left a third for two. He began selling plums for 2 cents for 5 pieces. After both merchants returned from lunch, all the remaining plums were sold by a third merchant. The two traders were surprised that the total revenue was not 25 cents, as they had planned, but only 24 cents. Where did the one cent go?