Question

$11$ oranges are bought for Rs. $10$ and $10$ oranges are sold for Rs. $11$. The gain (or) loss percent is ____________.

• A. $21\%$ loss
• B. $11\%$ gain
• C. $21\%$ gain
• D. $11\%$ loss

Answer 1

The correct option is C $21\%$ gain

Let $\text{CP}$ of each Orange be $X$

Let $\text{SP}$ of each Orange be $Y$

Given that $CP$ of $11$ oranges is equal to Rs. $10$

$\Rightarrow 11X=10$

$\Rightarrow X=$ Rs. $\frac{10}{11}=$ Rs. $0.909$

$\text{SP}$ of $10$ oranges is equal to Rs. $11$

$\Rightarrow 10Y=11$

$\Rightarrow Y=$ Rs. $\frac{11}{10}=$ Rs. $1.1$

$\text{SP}>\text{CP}$ of each orange

So, it was a gain affair.

Gain $\%=\frac{SP-CP}{CP}\times 100\%$

$=\frac{Y-X}{X}\times 100\%$

$=\frac{\frac{11}{10}-\frac{10}{11}}{\frac{10}{11}}\times 100\%$

$=\frac{12.1-10}{10}\times 100\%$

$=\frac{2.1}{10}\times 100\%$

$=21\%$