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A man loses 28% by selling an article for ₹144. If he sells it for ₹288, what will be his gain/loss percentage?
Question

A man loses 28% by selling an article for ₹144. If he sells it for ₹288, what will be his gain/loss percentage?

A.

Gain, 41%

B.

Loss, 43%

C.

Gain, 44%

D.

Loss, 46%

Correct option is C

Given:

Loss Percentage = 28%

Selling Price (SP) = ₹144

Concept Used:

The Cost Price (CP) can be found using the formula:

CP=SP(1Loss%)CP = \frac{SP}{(1 - \text{Loss\%})}​​

Once CP is determined, the Gain/Loss Percentage for a new selling price can be calculated using:

Gain/Loss %=New SPCPCP×100\text{Gain/Loss \%} = \frac{\text{New SP} - \text{CP}}{\text{CP}} \times 100​​

Solution:

CP=144128100CP = \frac{144}{1 - \frac{28}{100}}​​

CP=1440.72=200CP = \frac{144}{0.72} = 200​​

Gain %=288200200×100=88200×100=44%\text{Gain \%} = \frac{288 - 200}{200} \times 100 = \frac{88}{200} \times 100 =44\%​​

=44% Gain

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