Question

If the cost price of $12$ books is the same as the selling price of $16$ books, the gain or loss per cent is :

• A. $15\%$ gain
• B. $25\%$ loss
• C. $20\%$ loss
• D. $30\%$ gain

Answer 1

Answer: (B)

$25\%$ loss

Given that $12\text{CP}=16\text{SP}\Rightarrow \frac{\text{SP}}{\text{CP}}=\frac{12}{16}$

$\text{Loss}=\frac{(\text{CP}-\text{SP})}{\text{CP}}\times 100$

$=(1-\frac{\text{SP}}{\text{CP}})$

$=(1-\frac{12}{16})\times 100=25\text{\%}$

So, option B is correct.