Question
A and B have 6 and 7 pieces of bread respectively. They
share their food with C, who pays them Rs 42 for the received breads. If each of them has equal breads, provided that no bread is broken or wasted, find B’s share of the income from C.Solution
For breads to be equal, A+B = 6+7 = 13, which cannot be divided equally among three. Thus C has some bread initially. For, the breads to be equally distributable among the three, the total number of breads should be a multiple of 3, greater than 6+7 (13) = 15, 18, 21, 24…. If Total breads = 15, this means C had 2 breads initially Bread in each’s share = 5 This means A gave 1 and B gave 2 breads to C Now, suppose the total number of breads = 18 Breads initially with C = 18-13 = 5 This means each’s share is 6 bread each. For this to be the case, A should give nothing to C and B should give 1 bread to C to make all the three have equal breads but A has definitely shared some bread with C. Thus this case not possible. Thus, C initially had 2 breads and A gave 1 and B gave 2 breads to C. Now, money will be divided among A and B in the ratio 1:2 Rs. 42/3 = 14, B’s share = 14 x 2 = 28 Rs
- Cost price of an item is Rs. (12n + 240). It is marked 50% above its cost price and sold after allowing a discount of Rs. (2n + 40). If the profit earned i...
- If the total cost of 9 mangoes and 6 oranges is Rs. 270 and the total cost of 7 mangoes and 4 oranges is Rs. 200, then find the cost of 5 mangoes.
The cost price of an article is βΉ520. Some part of it is sold at 16% loss and the remaining part at some profit %. In this transaction, there is a pro...
Ritika purchased a washing machine for Rs. 18,000, listed it 30% above the cost price, and sold it after allowing successive discounts of 10% and 20%. W...
- An item was sold at Rs. 5000 making a 10% gain. If it had been sold at Rs. 4200, determine the approximate profit or loss percentage.
A shopkeeper sells an article at a loss of 25%. If he had sold it for Rs 240 more, he would have made a profit of 15%. Find the cost price of the article.
The cost price of an article is Rs. 2800 and a shopkeeper wants to earn 15% profit on it after giving 8% discount on marked price. Find the marked price...
The combined cost price of two products, P and Q, is Rs. 5000. Product P is marked up by 25% on its cost and Product Q is marked up by 40%. After giving...
Β A shopkeeper buys an article for 1200. He marks it 30% above cost price and gives 10% discount on marked price. What is his profit (in rupees)?
- The average cost price of articles 'M' and 'N' together is Rs. 500 where the cost price of article 'N' is Rs. 100 more than that of article 'M'. If article...