Question

By selling $100$ pencils a shopkeeper gains the S.P. of $20$ pencils. His gain percent is

• A. $25\%$
• B. $20\%$
• C. $15\%$
• D. $12\%$

Answer 1

Answer: (A)

The correct option isA $25\%$

Profit by selling $100$ pencils $=$ S.P. of $20$ pencils
$\Rightarrow$ S.P. of $100$ pencils $-$ C.P. of $100$ pencils $=$ S.P. of $20$ pencils
$\Rightarrow$ S.P. of $100$ pencils - S.P. of $20$ pencils = C.P. of $100$ pencils
$\Rightarrow$ S.P. of $80$ pencils $=$ C.P. of $100$ pencils

Let C.P. of $1$ pencil $=Rs.1$
Then S.P. of $80$ pencils $=$ C.P. of $100$ pencils $=Rs.100$
$\Rightarrow$ C.P. of $80$ pencils $=Rs.80$

$\therefore$ Profit $\%$ $=\frac{100-80}{80}\times 100=\frac{20}{80}\times 100=25\%$