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The selling price of 20 books is equal to the cost price of 5 books. Find the loss or gain percentage.
Question

The selling price of 20 books is equal to the cost price of 5 books. Find the loss or gain percentage.

A.

10015\frac{100}{15}​ % gain

B.

10015\frac{100}{15}​ % loss

C.

75% gain

D.

75% loss

Correct option is D

Given:

Selling price of 20 books = Cost price of 5 books

Find gain or loss percentage.

Formula Used:

Loss % = CPSPCP×100\frac{\text{CP}-\text{SP} }{\text{CP}} \times 100​​

Solution:

20 SP = 5 CP 

SPCP=520=14\frac{SP}{CP} = \frac{5}{20} = \frac{1}{4}  

SP = 1unit, CP = 4 unit 

Loss% =414×100 \frac{4 - 1}{4} \times 100 = 75%

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