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The selling price of 24 books is equal to the cost price of 30 books. Find the loss or gain percentage.
Question

The selling price of 24 books is equal to the cost price of 30 books. Find the loss or gain percentage.

A.

25% gain

B.

503% loss\frac{50}{3} \% \text{ loss}​​

C.

25% loss

D.

503% gain\frac{50}{3} \% \text{ gain}

Correct option is A

Given:

Selling price of 24 books = Cost price of 30 books;

Required: Gain or loss percentage.

Formula Used:

Profit % = (SPCPCP)×100 \left( \frac{SP - CP}{CP} \right) \times 100​​

Solution: 

From the condition;

24 SP = 30 CP 

SPCP=3024=54\frac{SP}{CP} = \frac{30}{24} = \frac{5}{4} 

Let SP = 5 and CP = 4 

Profit % = (544)×100\left( \frac{5 - 4}{4} \right) \times 100​​

=14×100=25%= \frac{1}{4} \times 100 = 25\%​​

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