- Home
- Standard 13
- Quantitative Aptitude
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