Question

An article is sold at two successive discounts of 30% each. The single equivalent discount as percent is __________.

• A. 70%
• B. 60%
• C. 50%
• D. 51%

Answer 1

The correct option is D 51%

Let the M.P = 100
$\therefore$Price of the article after first discount = 100 - 30% of 100 = $100-\frac{30}{100}\times 100$ = 100 - 30 = 70
Now the second discount will be on this 70
$\therefore$Price of the article after second discount = 70 - 30%of 70 = $70-\frac{30}{100}\times 70$ = 70 -21 = 49
$\therefore$Single equivalent discount as percent = 100-49 = 51%