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SSC MTS 2023 PYQ — Question 20

SSC MTS - 04 May 2023 - Shift 2 • Quantitative Aptitude • Q20

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Rajiv sells a book to Mohan at a profit of 9% and Mohan sells it to Gopal at a profit of  13%,  If Gopal pays Rs. 12,317 for it. Find the cost price for Rajiv.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. Rs 10000.

Selling price = Cost price × (100 + profit %)/100

Let's assume the cost price of the book by Rajiv = x

Rajiv sells a book to Mohan at a profit of 9%

So, the cost price of the book for Mohan = x × 109/100

Mohan sells it to Gopal at a profit of 13% 

The cost price for Gopal = 109x/100 × (113/100)

Gopal pays for book = Rs 12,317

So, 

⇒ 12,317 = (109x/100) × (113/100)

⇒ 1090000 = 109x

x = 10000

So, the cost price by Rajiv = 10,000