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Question

The price of an article is raised by 30% and then two successive discounts of 10% each are allowed. Ultimately the price of the article is


A
Increased by 10%
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B
Increased by 5.3%
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C
Decreased by 3%
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D
Decreased by 5.3%
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Solution

The correct option is B Increased by 5.3%
Let the original cost of the article be Rs.$$x$$ 
Raising it by 30% M.P. $$\displaystyle =x\times \frac{130}{100}=Rs.\frac{13x}{10}$$

After allowing two discounts each of 10% the price of the article $$\displaystyle =\frac{13x}{10}\times \frac{90}{100}\times \frac{90}{100}=Rs.\frac{1053x}{1000}$$

Per cent increase in the cost of the article $$\displaystyle =\frac{\left ( \frac{1053x}{1000} \right )}{x}\times 100=\frac{53x}{1000x}\times 100=5.3\%$$

Mathematics

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