CAT 2024 Slot 2 QA Question 5: Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have

Question

Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have

Accepted Answer

Let Bina’s cost price be $C$.
Selling at a $19\%$ loss means the selling price is $81\%$ of the cost price.
$0.81C = 4860$
$\Rightarrow C = 6000$
If Bina had sold at $17\%$ profit, the selling price would have been:
$6000 	imes 1.17 = 7020$
This is Hari’s purchase price, i.e., Shyam’s selling price

Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is