Question

By
selling 45metres of cloth, a trader gains
profit equal to the selling price of 15 metres
cloth find the gain percentage.

Answer 1

Answer:

50

Step-by-step explanation:

Let SP = 45m

Let Profit be = 15m

Profit = SP - CP

15m = 45m - CP

therefore CP = 30m

Now, Gain percent = Profit / CP × 100

15/30 × 100 = 50%

Answer 2

Profit and Loss

On selling 45 meters cloth, profit is selling price of 15 meters cloth.

Let the cost price of x meters cloth is equal to selling price of y meters cloth.

According to question.

the gain percentage will be (selling price of 45m -cost price of 45 m cloth)

$S.P \ of \ 15 \ meters \ cloth = (selling \ price\ of \ 45m -cost \ price \ of \ 45 m \ cloth)$

$\implies C.P. \ of \ 45m =S.P. \ of \ 30m$

$\implies \frac{C.P}{S.P}=\frac{30}{45}=\frac{2}{3}$

Hence, S.P > C.P

So, profit will definitely be there.

$\implies Profit\ percentage =\frac{45-30}{30}\times 100\% \\\\\implies gain \%=50\%$

Hence, he/ she will be at profit of 50%.