Question

if the selling price is tripled,the profit goes up to 5 times, find the profit.​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Profit\%=100\%}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline\bold{Given : }} \\ \tt: \implies Selling \: price = 3 \: times \: increase \\ \\ \tt: \implies Profit = 5 \: times \: increase \\ \\\red{\underline\bold{To \:Find: }} \\ \tt: \implies Profit\% = ?$

• According to given question :

Let C.P be 100 and S.P be x.

$\text{Profit =( x - 100)} \\ \\ \circ \: \tt{Increased \: S.P = 3x} \\ \\ \circ \: \tt{New \: profit = (3x - 100)} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies 5(x - 100)= 3x - 100 \\ \\ \tt: \implies 5x - 500 = 3x - 100 \\ \\ \tt: \implies 5x - 3x = - 100 + 500 \\ \\ \tt: \implies 2x = 400 \\ \\ \tt: \implies x = \frac{400}{2} \\ \\ \green{\tt: \implies x = 200} \\ \\ \bold{For \: Profit} \\ \tt: \implies Profit = x - 100 \\ \\ \tt: \implies Profit = 200 - 100 \\ \\ \green{\tt: \implies Profit =100} \\ \\ \bold{for \: profit\%} \\ \tt: \implies Profit\% = \frac{Profit}{C.P} \times 100 \\ \\ \tt: \implies Profit\% = \frac{100}{100} \times 100 \\ \\ \green{\tt: \implies Profit\% =100\%}$