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Under a discount scheme, after allowing a discount of 20%, there is still a gain of 10%. The marked price is what percentage more than the cost price?
Question

Under a discount scheme, after allowing a discount of 20%, there is still a gain of 10%. The marked price is what percentage more than the cost price?

A.

39%

B.

37.5%

C.

40%

D.

35.2%

Correct option is B

Given:
A discount of 20%, there is still a gain of 10%.
Formula Used:
MPCP=100+Profit%100Discount%\frac{\text{MP}}{\text{CP}} = \frac{100 + \text{Profit\%}}{100 - \text{Discount\%}}​​
Solution:
MPCP=100+Profit%100Discount%MPCP=11080MPCP=118\frac{\text{MP}}{\text{CP}} = \frac{100 + \text{Profit\%}}{100 - \text{Discount\%}} \\\frac{\text{MP}}{\text{CP}} = \frac{110}{80} \\\frac{\text{MP}}{\text{CP}} = \frac{11}{8}​​
According to the question:
11 - 8 = 3
Marked Up by = 38 \frac38​ × 100 = 37.5%

Alternate Solution:

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