Question

A discount series of $10\%$, $20\%$ and $40\%$ is equal to a single discount of:

• A. $50.00\%$
• B. $56.80\%$
• C. $70.00\%$
• D. $70.28\%$

Answer 1

Answer: (B)

$56.80\%$

Answer 2

Series of discounts of$10\%, 20\% and 40\%$
Let the original number be 100.
After applying a series of discount
$100(1-10\%) (1-20\%)(1-40\%)$
$\frac{90}{100}\times\frac{80}{100}\times\frac{60}{100}\times100$
$43.2\%$
The required discount =$100-43.2$
Discount =$56.80$
$56.80\%$is a single discount of this series.
The correct answer is (B):$56.80\%$