Successive discounts of 10%, 20% and 30% is equivalent to single discount of

A) 60%

B) 49.60%

C) 40.50%

D) 36%

Correct answer:
B) 49.60%

Description for Correct answer:
Here \( \Large r_{1} \)= 10%, \( \Large r_{2} \) = 20% and \( \Large r_{3} \) =30%

Therefore, Required discount

= \( \Large \left[ 1- \left(1-\frac{r_{1}}{100}\right) \left(1-\frac{r_{2}}{100}\right) \left(1-\frac{r_{3}}{100}\right) \right] \times 100\% \)

= \( \Large \left[ 1- \left(1-\frac{10}{100}\right) \left(1-\frac{20}{100}\right) \left(1-\frac{30}{100}\right) \right] \times 100\% \)

= \( \Large \left(1-\frac{9}{10} \times \frac{4}{5} \times \frac{7}{10}\right) \times 100\% \)

= \( \Large \left(1-0.504\right) \times 100\% \) = 49.6%


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