Question

The single discount on some amount which is equivalent to successive discounts of 10%, 20% and 28% on the same amount is equal to:

• A. 50%
• B. 48.32%
• C. 48.16%
• D. 38.16%

Answer 1

Answer:

C. 48.16%

You can combine successive discounts $A\%$ and $B\%$ using the formula:

$\text{Effective Discount} = A + B - \frac{A \times B}{100}$

1. Combine 10% and 20%:
   $10 + 20 - \frac{10 \times 20}{100} = 30 - 2 = 28\%$

2. Now combine this 28% result with the third discount of 28%:
   $28 + 28 - \frac{28 \times 28}{100} = 56 - \frac{784}{100} = 56 - 7.84 = \mathbf{48.16\%}$