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

A. Decreased by 5.3%

B. Increased by 3%

C. Increased by 5.3%

D. Decreased by 10%

Answer: Option C

Solution(By Examveda Team)

Let the original price be Rs. 100
Then, Marked price = Rs. 130
Final price = 90% of 90% of Rs. 130
$$\eqalign{ & {\text{ = Rs}}{\text{.}}\left( {\frac{{90}}{{100}} \times \frac{{90}}{{100}} \times 130} \right) \cr & = {\text{Rs}}{\text{.105}}{\text{.30}}{\text{}} \cr} $$
∴ Increase in price = (105.30 - 100)% = 5.3%