If the price of an item is increased by 30% and then allows two successive discounts of 10% and 10%. In last the . price of an item is


A) increased by 10%

B) increased by 5.3%

C) decreased by 3%

D) decreased by 5.3%

Correct Answer:
B) increased by 5.3%

Description for Correct answer:
Let the cost price of item = Rs.x

Therefore, Marked price of item

= \( \Large \frac{x \times \left(100+30\right) }{100}=Rs.\frac{13x}{10} \)

Selling price of the item after two successive discount

= \( \Large \frac{13x}{10} \times \left(\frac{100-10}{100}\right) \times \left(\frac{100-10}{100}\right) \)

= \( \Large \frac{13x}{10} \times \frac{90}{100} \times \frac{90}{100}=Rs.\frac{1053}{1000}x \)

Increment in the price of item

= \( \Large \frac{\frac{1053x}{1000}-x}{x} \times 100\%=\frac{53}{10}\% \) = 5.3%

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