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A merchant sells 120 metres of cloth and gains the selling price of 27 metres. Find the gain percentage (rounded off to the nearest integer).
Question

A merchant sells 120 metres of cloth and gains the selling price of 27 metres. Find the gain percentage (rounded off to the nearest integer).

A.

32%

B.

26%

C.

29%

D.

30%

Correct option is C

Given:

Cloth sold = 120 metres

Profit = Selling price of 27 metres

Formula Used:

Gain % =ProfitCost Price×100\frac{\text{Profit}}{\text{Cost Price}}\times 100​​

Solution:

Profit = Selling price of 27 metres

Cost price of 120 metres = Selling price of 120 metres - Profit

Cost price = Selling price of 120 metres - Selling price of 27 metres

Cost price = Selling price of (120 - 27) metres

Cost price = Selling price of 93 metres

Gain percentage = Selling price of 27 metres Selling price of 93 metres\frac{\text{Selling price of 27 metres} }{\text{ Selling price of 93 metres}}​ × 100

Gain percentage =2793 \frac{27} { 93}​× 100

Gain percentage ≈ 29%

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