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What percentage above the cost price of an article should be marked so as to gain 25% after allowing a discount of 20%?
Question

What percentage above the cost price of an article should be marked so as to gain 25% after allowing a discount of 20%?

A.

65.25%

B.

36.25%

C.

63.25%

D.

56.25%

Correct option is D

Given:
Gain = 25%
Discount = 20%
Formula Used:
Marked PriceCost Price=100+Gain %100Discount%\frac{\text{Marked Price}}{\text{Cost Price}} = \frac{100 + \text{Gain \%}}{100 - \text{Discount\%}}​​
Percentage Above Cost Price =  (Marked PriceCost Price1)×100%\left( \frac{\text{Marked Price}}{\text{Cost Price}} - 1 \right) \times 100\%​​
Solution:
Marked PriceCost Price=12580\frac{\text{Marked Price}}{\text{Cost Price}} = \frac{125}{80}​​
Marked Price = Cost Price × 1.5625
Percentage Above Cost Price = [(1.5625 ÷ 1) - 1] × 100%
Percentage Above Cost Price = (1.5625 - 1) × 100%
Percentage Above Cost Price = 0.5625 × 100%
Percentage Above Cost Price = 56.25%

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