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. decreased by 5.3%
• B. increased by 3%
• C. increased by 5.3%
• D. increased by 10%

Answer 1

The correct option is C increased by 5.3%

Let the original price=100 Rs.
Then marked price=130 Rs.
First discount=10%
Then 10% of 130=$\frac{10}{100}\times 130=13Rs$
Price of article after first discount=$130-13=117Rs$
Second discount=10%
Then 10% of 117=$\frac{10}{100}\times 117=11.70Rs.$
Price of article after second discount =$117-11.70=105.30Rs.$
$\therefore increaseinprice=105.30-100=5.30$
$increasedpercentage=\frac{5.30}{100}\times 100=5.30$
Hence the price of article increased by 5.30 %.