1.

If 10% discount is allowed on the marked price of an article, the profit of a dealer is 20%. If he allows a discount of 20% his profit will be(a) \(4\frac{1}{3}\)%(b) 5%(c) \(6\frac{2}{3}\)%(d) 8%

Answer»

(c) \(6\frac{2}{3}\)%

Let the M.P. of the article = Rs 100

Discount = 10%

\(\therefore\) S.P. = 90% of Rs 100 = Rs 90, Profit = 20%

\(\therefore\) C.P. = Rs \(\frac{90\times100}{120}\) = Rs 75

If the discount is 20%, then S.P. = 80% of Rs 100 = Rs 80

\(\therefore\) Required profit % = \(\frac{(80-75)}{75}\) x 100

\(\frac{5}{75}\)x 100 = \(6\frac{2}{3}\)%



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