SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 25 Jan 2023 - Shift 1 • Quantitative Aptitude • Q57

Veer buys 200 guavas for Rs. 1,800. Some of these guavas are rotten and are thrown away. He sells the remaining guavas at Rs. 14 each and makes a profit of Rs. 230. The percentage of guavas thrown away is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 27.5%.

Given:

Veer buys 200 guavas for Rs. 1,800.

Let the x guavas be rotten

then Remaining guavas (200 - x) are sold at Rs. 14 each

Profit = Rs. 230

Formula used 

Profit = S.P. - C.P.

Calculations:

According to the question;

⇒ (200 - x) × 14 - 1800 = 230

⇒ 2800 - 14x - 1800 = 230

⇒ 14x = 1000 - 230

⇒ 14x = 770

⇒ x = 770/14 = 55

Hence, the percentage of rotten guavas = (55/200) × 100 = 27.5%