Question 26

The cost price of $$10$$ articles equals the selling price of $$9$$ articles. The profit percentage is $$11\frac{1}{a}\%$$. The value of $$a$$ is

Correct Answer: 9

Solution

If the cost price of one article is $$x$$, the selling price of one article is $$\frac{10x}{9}$$. The profit fraction is therefore $$\frac{1}{9}$$, giving a profit percentage of $$\frac{100}{9}\%=11\frac{1}{9}\%$$. Hence $$a=9$$.

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The cost price of $$10$$ articles equals the selling price of $$9$$ articles. The profit percentage is $$11\frac{1}{a}\%$$. The value of $$a$$ is

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