A shop owner sells 24 articles at the rate of Rs. 40 per article after giving 10% discount and still earns 50% profit per article. What will be his profit, if he does not give the discount?

60%

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66.67%

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75%

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Solution

The correct option is B 66.67%
Let the cost price of the product be = x and the selling price = y
Then, $0.9 y = 1.5 x \Rightarrow y = \frac{1.5}{0.9} x = \frac{5}{3} x$
Without discount the profit percentage will be $= \frac{y - x}{x} \times 100 = \frac{\frac{2}{3} x}{x} \times 100 = 66.67 %$

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A shop owner sells 24 articles at the rate of Rs. 40 per article after giving 10% discount and still earns 50% profit per article. What will be his profit, if he does not give the discount?

The correct option is B 66.67%Let the cost price of the product be = x and the selling price = y Then, 0.9y=1.5x⇒y=1.50.9x=53x Without discount the profit percentage will be =y−xx×100=23xx×100=66.67%

The correct option is B 66.67%
Let the cost price of the product be = x and the selling price = y
Then, $0.9 y = 1.5 x \Rightarrow y = \frac{1.5}{0.9} x = \frac{5}{3} x$
Without discount the profit percentage will be $= \frac{y - x}{x} \times 100 = \frac{\frac{2}{3} x}{x} \times 100 = 66.67 %$