CAT 2025 Profit & Loss Question (Hard)

Question

A shopkeeper offers a discount of 22 on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26 on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is

Accepted Answer

Cost price of each chair 100 For 13 chairs, total cost 13 times 100 1300 Profit 26 , so total revenue 1.26 times 1300 1638 We were told that this amount is equal to the discounted price of 12 chairs. So the discounted selling price per chair _ 12 136.5 Discount offered 22 , so MP 0.78 175

CAT 2025

Quantitative

Profit & Loss

Hard

A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is

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