Gujarati
Hindi
7.Profit and Loss
medium

A vendor bought toffees at $6$ for a rupee. How many for a rupee must he sell to gain $20 \% ?$

A

$3$

B

$4$

C

$5$

D

$6$

Solution

$CP$ of $6$ toffees $=$ $Rs.$ $1, \quad$ $CP$ of $1$ toffee $=$ $Rs.$ $\frac{1}{6}$

$SP$ of $x$ toffees $=$ $Rs.$ $1 \quad$ (where $x$ is no. of toffees to sell)

$SP$ of $1$ toffee $=$ $Rs.$ $\frac{1}{x}$

$\operatorname{Gain} \%=\frac{20}{100}=\frac{\frac{1}{x}-\frac{1}{6}}{\frac{1}{6}} \Rightarrow \frac{1}{5} \times \frac{1}{6}=\frac{1}{x}-\frac{1}{6} \Rightarrow x=5$

Standard 13
Quantitative Aptitude

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