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Q.

If the selling price of 50 articles is equal to the cost price of 40 articles then what is the loss and gain percent?

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a

20% gain

b

20% loss

c

25% loss

d

25% gain

answer is B.

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Detailed Solution

Given, the selling price of 50 articles is equal to the cost price of 40 articles.
Let C.P of one article = 1 Rs.
Then C.P of 40 articles = 40 Rs.
According to the question,
S.P of 50 articles = C.P of 40 articles = 40 Rs.
Then C.P of 50 articles = 50 Rs.
Loss = C.P - S.P

\Rightarrow

Loss = 50 - 40 = 10 Rs.
Loss% =

\frac{Loss}{S . P} \times 100

\Rightarrow

Loss % =

\frac{10}{50} \times 100 = 20

%
So, the percentage of the loss is 20%.
Hence, option 2 is correct.

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