Question

A man sold an article for $₹495$ and gain $10\%$ on it. find the cost price.

Answer 1

The selling price of the article is $₹495$

Gain% $=10\%$

Let the cost price of the article be $₹100$

Gain$=gain\%ofC.P$

$=\frac{10}{100}\times ₹100=₹10$

Selling price $=$ cost price $+$ gain $=₹100+₹10=₹110$

When S.P is $₹110$, c.p is $₹100$

If S.P is $₹1$, c.p is $\frac{₹100}{₹110}$

if S.P is $₹495$, c.p is $\frac{₹100}{₹110}\times ₹495=₹450$

Thus, the cost price of an article is $₹450$.