Question

At what per cent above the cost price must a shopkeeper mark his goods so that he gains 20% even after giving a discount of 10% on the marked price. 

(a) 25% 

(b) 30%

(c) \(33\frac{1}{3}\)%

(d) \(37\frac{1}{2}\)%

Answer 1

(c) 33\(\frac{1}{3}\)%

Let the M.P. be Rs x. Discount = 10%

\(\therefore\) S.P. = 90% of Rs x = Rs \(\frac{9X}{10}\), Profit = 20%

C.P = \(\frac{\frac{9X}{10}\times100}{120}\) = \(\frac{3}{4}\)x

\(\therefore\) Reqd. percent = \(\frac{\big(X-\frac{3}{4}X\big)}{\frac{3}{4}X}\)x 100

= \(\frac{100}{3}\)% = 33\(\frac{1}{3}\)%