SSC GD 2024 PYQ — Question 50

SSC GD Const (English) - 06 March 2024 - Shift 2 • Quantitative Aptitude • Q50

What is the profit percentage in selling an article at a discount of 30% which was earlier being sold at a 45% profit?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 1.5%.

Initial Selling Price (S.P.) at 45% profit

Initial S.P. = C.P. + 45% of C.P.

⇒ 100 + 45 = Rs. 145

Discounted Selling Price after 30% discount = Initial S.P. - 30% of Initial S.P.

Discounted S.P. = 145 - 30/100 × 145

⇒ 145 - 43.5 = Rs. 101.5

Profit = Discounted S.P. - C.P.

Profit = 101.5 - 100 = Rs.1.5

Now,

Profit% = Profit/C.P. × 100

⇒ 1.5/100 × 100 = 1.5%