CAT 2025 Slot 1 QA Question 10: 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 cos

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 cos

Accepted Answer

Let the marked price of each chair be Rs $M$.
Discounted price per chair = $78\%$ of $M = 0.78M$

The customer receives 13 chairs but pays the discounted price of only 12 chairs.
$	ext{Selling price of the transaction} = 12 	imes 0.78M = 9.36M$

$	ext{Cost price of 13 chairs} = 13 	imes 100 = 13

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