Question

A shopkeeper gains 20% wjile buying the goods and 30% while selling them. Find his total gain percentage.​

Answer 1

Answer:

$\huge\underline\bold {Answer:}$

Let the C.P. (cost price) of the goods be 100 rupees. As the shopkeeper gains 20% at that time of buying, the shopkeeper buys the articles worth 120 rupees.

Therefore S.P. (selling price)

$= \frac{120(100 + 30)}{100} \\ = \frac{120 \times 130}{100} = 156$

Therefore percentage gain

$= \frac{(156 - 100)}{100} \times 100 \\ = 56\%$

Answer 2

Answer:

Let the C.P. (cost price) of the goods be 100 rupees. As the shopkeeper gains 20% at that time of buying, the shopkeeper buys the articles worth 120 rupees.

Therefore S.P. (selling price)

\begin{gathered}= \frac{120(100 + 30)}{100} \\ = \frac{120 \times 130}{100} = 156\end{gathered}

=

100

120(100+30)

=

100

120×130

=156

Therefore percentage gain

\begin{gathered}= \frac{(156 - 100)}{100} \times 100 \\ = 56\%\end{gathered}

=

100

(156−100)

×100

=56%