SSC GD 2024 PYQ — Question 56

SSC GD Const (English) - 26 Feb 2024 - Shift 1 • Quantitative Aptitude • Q56

A merchant marks the price of his article 40 percent above the cost price. He gives some discount on it and earns a profit of 10 percent. What is the discount percentage? 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 21.42 percent.

The cost price (C.P.) of the article = ( C).

the marked price (M.P.) is:

⇒ M.P. = C + 0.40C = 1.40C

The selling price (S.P.) is 10% more than the cost price:

⇒ S.P. = C + 0.10C = 1.10C

Discount = M.P. - S.P. = 1.40C - 1.10C = 0.30C

Discount Percentage = (DiscountM.P.)×100\left( \frac{\text{Discount}}{M.P.} \right) \times 100  = (0.30C1.40C)×100\left( \frac{0.30C}{1.40C} \right) \times 100

Discount Percentage = 0.301.40×100=21.42%\frac{0.30}{1.40} \times 100 = 21.42\%