Question

The C.P. of $10$ pens is equal to the selling price of $9$ pens. Find the profit percentage.

• A. $10$%
• B. $11\frac{1}{9}$%
• C. $9$%
• D. $4$%

Answer 1

The correct option is B $11\frac{1}{9}$%

Let the C.P. be ${}^{\prime }{x}^{\prime }$ & S.P. be ${}^{\prime }{y}^{\prime }$

then $10x=9y$ .......$\left(1\right)$ ..... as given

Profit $=\frac{y-x}{x}\times 100$

$=(\frac{y}{x}-1)\times 100$

From $\left(1\right)$

Profit$=(\frac{10}{9}-1)\times 100$

$=\frac{100}{9}\%=11\frac{1}{9}\%$.