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A merchant fixes the sale price of his goods at 42% above the cost price. He sells his goods at a 15% discount marked price. His percentage of profit
Question

A merchant fixes the sale price of his goods at 42% above the cost price. He sells his goods at a 15% discount marked price. His percentage of profit (rounded off to the nearest integer) is:

A.

42%

B.

21%

C.

27%

D.

35%

Correct option is B

Given:

Selling price of good = 42% above the cost price

Discount = 15%

Concept and Formula Used:

Discount % = (MPSP)MP×100\frac {(MP -SP)}{MP}×100​​

Profit percentage = (SPCP)CP×100\frac{(SP -CP)}{CP}×100​​

CP = Cost Price

SP = Selling Price

MP = Marked Price

Solution:

As per the question;

Let the CP = 100

MP = 142

SP = 142 ×85/100=120.7

Profit percentage = (SPCP)CP×100\frac{(SP -CP)}{CP}×100​​

= (120.7 -100)/100×100

Profit percentage = 20.7% ≈21%

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