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While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be


A) 10%

B) 20%

C) \( 16\frac{2}{3} \)%

D) \( 16\frac{1}{3} \)%

Correct Answer:
C) \( 16\frac{2}{3} \)%

Description for Correct answer:
Let MP of an article = Rs.x

Therefore, SP of an article = \( \Large \frac{x \times \left(100-40\right) }{100} \) = Rs.\( \Large \frac{3x}{5} \)

CP of an article = \( \Large \frac{3x}{5} \times \frac{100}{100-30} \)

= \( \Large \frac{3x}{5} \times \frac{100}{70} \) = Rs.\( \Large \frac{6x}{7} \)

Therefore, Profit when sold at MP = \( \Large \left(x - \frac{6x}{7}\right) \) = Rs. \( \Large \frac{x}{7} \)

Hence, profit per cent

= \( \Large \frac{\frac{x}{7}}{\frac{6x}{7}} \times 100\% \) = \( \Large \frac{50}{3} \)% = \( \Large 16\frac{2}{3} \)%

Part of solved Discount questions and answers : >> Aptitude >> Discount




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