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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%

Part of solved Discount questions and answers : >> Aptitude >> Discount

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Similar Questions

1). By selling an article at \( \Large \frac{3}{4} \)th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is

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