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Three successive discounts of 25% each on the marked price of an item are together equivalent to a single discount (correct up to 2 decimal places) of
Question

Three successive discounts of 25% each on the marked price of an item are together equivalent to a single discount (correct up to 2 decimal places) of:

A.

62.35%

B.

60.25%

C.

56.45%

D.

57.81%

Correct option is D

Given:
Three successive discounts of 25%.
Formula Used: 
Discount = Marked Price×100Discount100\text{ Marked Price} \times \frac{ 100 - Discount}{100}​​
Solution:
Let the Marked Price be 100.
then, 100×75100×75100×75100=42.18100 \times \frac{75}{100}\times \frac{75}{100}\times \frac {75}{100} = 42.18  
Discount,
 100 - 42.18 = 57.82 %  \approx 57.81 % 

Alternate Method: 

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