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The selling price of 30 books is equal to the cost price of 45 books. Find the loss or gain percentage.
Question

The selling price of 30 books is equal to the cost price of 45 books. Find the loss or gain percentage.

A.

50% gain

B.

10015\frac{100}{15}% gain​

C.

50% loss

D.

10015\frac{100}{15}% loss​

Correct option is A

Given

Selling Price(SP) of 30 book = Cost Price(CP) of 45 Books 

Formula Used: ​

Loss and gain % = Loss or ProfitCP×100\frac{\text{Loss or Profit} }{CP}\times 100 

Solution:  

SP of 30 = CP of 45 

SPCP=4530 SPCP=32\frac{SP}{CP} = \frac{45}{30} \\ \ \\ \frac{SP}{CP} = \frac{3}{2} 

SP >CP 

So, 

Profit % = 322×100=50%\frac{3-2}{2} \times 100 = 50\%​​

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