SSC Selection Post 2022 PYQ — Question 58

SSC Selection Post - Matriculation Level - 05 Aug 2022 - Shift 3 • Quantitative Aptitude • Q58

A shopkeeper gains 30% after allowing a discount of 20% on the marked price of an article. Find his profit per cent if the articles are sold at a marked price allowing no discount.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 62.5%. 

Let the Cost Price = C , Marked Price = M.

Selling Price after 20% discount = M × 0.8 
Profit = 30%, so

M × 0.8 = C × 1.3

M = 1.3C/0.8 ​= 1.625C

If sold at Marked Price M  (no discount), Profit % = M−CC×100=(1.625−1)×100=62.5%\frac{M - C}{C} \times 100 = (1.625 - 1) \times 100 = 62.5\%