Question

A man sells an article at a gain of 10%. If he had bought it at 10% less and sold it for 132 rupees, he would have still gained 10%. What is the cost price of the article ?​

Answer 1

Answer:

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

Let the C.P. (Cost Price) be x rupees.

Gain = 10%

S.P.(Selling Price) = 110x/100,

New C.P. = 90x/100

= 9x/10

New S.P. = 110% of 9x/10 rupees

= 99x/100, 11x/10 – 99x/100

= 132

=> 11x/100 = 132

$= > x = \frac{132 \times 100}{11} = 1200$

Hence cost price of the article is 1200 rupees.

Answer 2

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%