Profit And Loss Ques 26

Question.

A shopkeeper marks his article $50 \%$ above the cost price and gives a discount of $20 \%$ on it. If he had marked his article $75 \%$ above the cost price and had given a discount of $20 \%$ on it, then find the earlier profit is what per cent of the profit earned latter?

(1) $50 \%$

(2) $60 \%$

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

(4) $40 \%$

(5) $75 \%$

(IBPS RRBs Officer CWE (Prelim Exam) 18.08.2018)

Show Answer

Correct Answer: (1)

Solution: (1)

Let the C.P. of article be Rs. 100.

Case I,

Marked price $=$ Rs. 150

Its S.P. $=\frac{150 \times 80}{100}=$ Rs. 120

Profit $=$ Rs. 20

Case II,

Marked price $=$ Rs. 175

Its S.P. $=\frac{175 \times 80}{100}=$ Rs. 140

Profit $=$ Rs. 40

$\therefore$ Required per cent $=\frac{20}{40} \times 100=50 \%$