Question

Find a single discount (as percent) equivalent to successive discounts of 15% and 10%.

• A. 25%
• B. 23.5%
• C. 22.5%
• D. 20%

Answer 1

The correct option is B

23.5%

Let Marked Price(MP) = ₹ 100

After first discount of 15% we get : 100 - $\frac{15}{100}\times$ 100 = ₹ 100 - ₹ 15 = ₹ 85

After second discount of 10% we get : 85 - $\frac{10}{100}\times$ 85 = ₹ 85 - ₹ 8.5 = ₹ 76.5

Overall equivalent discount = $\frac{100-76.5}{100}\times 100$ = 23.5%