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When an article is sold by a man for Rs 144, the man loses 10% . What should be the price at which he should sell it to earn a profit of 10%?

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Rs. 158.40

Rs. 172.80

Rs. 176

Rs. 192

answer is C.

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Detailed Solution

Given that,
Selling price = Rs. 144
Loses = 10%
We have the following formula:

S . P = 100 + gain % 100 × C . P C . P = 100 100 − loss % × S . P

Where S.P.= Selling Price and C.P.=Cost Price.
Applying,

C . P = 100 100 − loss % × S . P

C . P = 100 100 − 10 % × 48 = 10090 × 48 = 14409 = 160

We are given that, in order to gain 10% we have to calculate the S.P using formula,

S . P = 100 + gain % 100 × C . P

S . P = 100 + 10 100 × 160 = 110100 × 160 = 176

Therefore, at 10% of percentage gain the selling price of the article is Rs 176.
The correct option is 3.

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