SSC GD 2023 PYQ — Question 43

SSC GD Constable (English) - 1 Feb 2023 - Shift 1 • Quantitative Aptitude • Q43

A house worth Rs. 1,00,000 is sold by A to B at a profit of 6%. B sells the house back to A at a 3% loss. What is the gain or loss of A in the entire transaction?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. Gain of Rs. 2,820.

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

Selling price = Cost price × (100 - loss %)/100

The cost price of the house for A = Rs. 1,00,000

Cost price of the house for B = 1,00,000 × 106/100 = 106,000

B sells the house back to A at a 3% loss,

Now, the cost price of the house for A = 106000 × 97/100 = Rs 102820

So, profit earn by A = 102820 - 100000 = Rs 2820