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After selling an article at a discount of 27%, the profit percentage obtained is 36%. What is the mark-up percentage (rounded off to two decimal place
Question

After selling an article at a discount of 27%, the profit percentage obtained is 36%. What is the mark-up percentage (rounded off to two decimal places)?

A.

86.30%

B.

83.64%

C.

84.01%

D.

88.29%

Correct option is A

Given:
Discount Percentage = 27%
Profit Percentage = 36%
Formula Used:
Relationship between Cost Price (CP) and Marked Price (MP):
MPCP=100+Profit%100Discount%\frac{MP}{CP} = \frac{100 + Profit \%}{100 - Discount \%}​​
Mark-up Percentage = MPCPCP×100 \frac{MP - CP}{CP} × 100​​
Solution:
We use the direct ratio formula connecting CP and MP.
MPCP=100+3610027\frac{MP}{CP} = \frac{100 + 36}{100 - 27}​​

MPCP=13673\frac{MP}{CP} = \frac{136}{73}​​

This implies that if the Cost Price is 73 units, the Marked Price is 136 units.
Now, we calculate the mark-up amount.
Mark-up = MP - CP = 136 - 73 = 63 units
Next, we calculate the mark-up percentage based on the CP.
Mark-up % = 6373×100\frac{63}{73} × 100​​
Mark-up % = 86.3013...%86.3013... \%​​
Rounding off to two decimal places, we get 86.30%.
Final Answer
So the correct answer is (a)

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