Mettl Profit and Loss Quiz 1

Tarak Mehta sold a pair of T-shirts and jeans at 25% profit. The profit obtained on Tshirt was 20%. Had he reduced the both cost price of the T-shirt and the selling price of the T-shirt by Rs. 200, his profit on the pair would have risen to 30%. Earlier the cost price of the jeans was Rs.80 less than half of the selling price of the T-shirt. What price should he mark on a pair of T-shirts and jeans to earn a profit of 50%?

Sohan bought an old Honda Bike and spent Rs. 1500 on its repairs. Then Sohan sold it to Rakesh at a profit of 20%. Rakesh sold it to Raj at a loss of 10%. Raj finally sold it for Rs. 12100 at a profit of 10%. How much did Sohan pay for the old Honda Bike?

Sourav Ganguly wants to buy a total of 100 sports equipment using exactly a sum of Rs.1000. He can buy a ball at Rs.20 per unit, wicket at Rs.5 per unit and bat at Rs.1 per unit. If he has to buy at least one of each equipment and cannot buy any other type of equipment, then in how many distinct ways can he make his purchase?

In St. Peter’s college Agra an exhibition was organized, hand-made crafts are displayed for sale. Some students are assigned the work of selling crafts. The overall profit p depends on the number of students x selling the crafts on that particular day and is given by the equation p = 250x – 5x². The school manager claims to have made a maximum profit. Find the number of students engaged in selling the crafts and the maximum profit made.

In MG Road Delhi PVR has 300 seats. The price of each ticket, when the theatre is houseful, is Rs.60. For every Rs.1 increase in the price of the ticket, the number of tickets sold goes down by 2. What is the price of the ticket (in Rs.) for which the theatre owner would earn the maximum possible revenue?

Manu bought a Jacket from Sarojini market at Rs.1000 and marked up its price by P%. He then gave a discount of (0.4 × P)% and still got a profit percentage of (0.4 × P)%. What is the amount of discount?

The cost prices of three sports items, Ball Jacket, Bat Socks, and Thigh Pad Shoes, are in the ratio 2: 3: 4 respectively. If these three items are sold such that a profit of 20% is registered on the Jacket, a profit of 25% is registered on Socks and a loss of 10% is incurred on Shoes, then which of the following gives the overall percentage of profit/loss made in the three transactions put together?

Pranav went to the market and bought apricot, bananas, and guava. He purchased at least 25 fruits of each variety and calculated that if the cost of each guava was Re.1 more, and the cost of each banana was Rs.4 more then his total expenditure on the fruits would have gone up by Rs.136. If he bought a total of 80 fruits, find the number of bananas he purchased.

Aman and Bhanu ran a business after investing some money together. At the end of the first year, out of a total profit of Rs.1000, Aman gets Rs.400, which is Rs.25 more than what he would have got if he had invested Rs.3000 less and Bhanu had invested Rs. 1000 less. Find Bhanu's share of the profit, if Aman had 'invested Rs.3000 more and Bhanu had invested Rs.3000 less. (Assume the same profit in all cases)

Ram went to a shop to buy some Cosco and Plastic balls. Cosco balls cost Rs 300 each while Plastic balls cost Rs.400 each. Ram spent a total of Rs.3600 on the balls. If he had bought as many Plastic balls as the number of Cosco balls he actually bought and vice versa, he would have saved an amount equal to half the cost of one ball of one of the two types. Find the total number of balls he actually bought.