Question

If selling price is doubled, the profit triples. Find the profit percent:

• A. $66\frac{2}{3}\%$
• B. $100$%
• C. $105\frac{1}{3}\%$
• D. $120$%

Answer 1

The correct option is B $100$%

Let the C.P be $Rs.100$ and S.P be $Rs.x$, Then

The profit is $(x-100)$

Now the S.P is doubled, then the new S.P is $2x$

New profit is $(2x-100)$

Now as per the given condition;

$\Rightarrow 3(x-100)=2x-100$

By solving, we get

$3x-300=2x-100$

$\Rightarrow x=-100+300=200$

Then the Profit percent $=200-100\%=100\%$

Hence the profit percentage is $100\%$