SSC GD 2021 PYQ — Question 71

SSC GD Constable (English) - 16th November 2021 Shift 2 • Quantitative Aptitude • Q71

A dealer sold an article at a loss of 4%. Had he sold it for Rs 120 more, he would have gained 8%. To gain 11% he should sell the article for?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. Rs. 1110.

A dealer sold an article at a loss of 4%. Had he sold it for Rs. 120 more, he would have gained 8%.

Selling Price = Cost Price - Cost Price × Loss%

Selling Price = Cost Price + Cost Price × Gain%

Let the cost price be x.

So, the selling price of the article = x - x × 4% = x - x × 0.04 = 0.96x

According to the question -

x + x × 8% = 0.96x + 120

x + x × 0.08 = 0.96x + 120

1.08x = 0.96x + 120

1.08x - 0.96x = 120

0.12x = 120

x = 120/0.12

x = 1000

Now, to gain 11% he should sell the article for = 1000 + 1000 × 11% = 1000 + 110 = Rs. 1100