Question

A man gains $10\%$ by selling a certain article for a certain price. If he sells it at double the price, then the profit made is

• A. $120\%$
• B. $60\%$
• C. $100\%$
• D. $80\%$

Answer 1

Answer: (A)

$120\%$

Let the C.P. $=$ Rs. $100$,

Then S.P. $=\frac{100+\text{gain}\%}{100}\times C.P.$

$=\frac{110}{100}\times 100$
$=$ Rs. $110$
New S.P. $=2\times 110=$ Rs. $220$
$\therefore$ Profit $=$ Rs. $220-$ Rs. $100=$ Rs. $120$
Profit $\%$ $=\frac{120}{100}\times 100=120\%$