1.

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% (b) Increased by 5.3% (c) Decreased by 3% (d) Decreased by 5.3%

Answer»

(d) Decreased by 5.3%

Let the original cost of the article be Rs x.

Raising it by 30%, M.P. = x x \(\frac{130}{100}\) = Rs \(\frac{13X}{10}\)

After allowing two discounts each of 10%, the price of the article = \(\frac{13X}{10}\) x \(\frac{90}{100}\) x \(\frac{90}{100}\)

= Rs \(\frac{1053X}{1000}\)

Percent increase in the cost of the article = \(\frac{\big(\frac{1053}{1000}-X\big)}{X}\) x 100

\(\frac{53X}{1000X}\) x 100 = 5.3%



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