Gujarati
Hindi
7.Profit and Loss
medium

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

A

$66 \frac{2}{3}$

B

$100$

C

$105 \frac{1}{3}$

D

$120$

Solution

Profit $= S.P. – C.P.$

If $S.P.$ is doubled, new profit $=2 S . P .-C . P .=3(S . P .-C . P .)$

i.e. $3 C \cdot P \cdot- C \cdot P ,=3 S \cdot P .-2 S \cdot P$

or $2 C \cdot P .= S . P$

$\therefore$ Profit $\%=\frac{\text { S.P. }-\text { C.P. }}{\text { C.P. }} \times 100=\frac{2 C \cdot P \cdot- C \cdot P }{\text { C.P. }} \times 100=100 \%$

Standard 13
Quantitative Aptitude

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.