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The percentage profit earned by selling an article for Rs. $1920$ is equal to the percentage loss incurred by selling the same article for Rs. $1280$ . At what price should the article be sold to make $25$ % profit?

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Rs.

2000

Rs.

2200

Rs.

2400

Data inadequate

answer is A.

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Detailed Solution

Given, the profit percentage = loss percentage.
S.P = Rs. 1920 when profit occurred.
S.P = Rs. 1280 when loss occured.
Let C.P. be

Rs . x

.
Profit% =

\frac{S . P - C . P}{C . P} \times 100

Loss% =

\frac{C . P - S . P}{S . P} \times 100

Then,

\frac{1920 - x}{x} \times 100 = \frac{x - 1280}{x} \times 100

\Rightarrow 1920 - x = x - 1280

\Rightarrow 2 x = 3200

\Rightarrow x = 1600

∴

Required

S . P = 125

% of

Rs . 1600

\Rightarrow

Required S.P

= Rs . (\frac{125}{100} \times 1600)

\Rightarrow

Required S.P

= Rs 2000

So, the selling price is Rs. 2000.
Hence, option 1 is correct.

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