Question

If the selling price of a watch is halved,the profit becomes quartered.find the profit percentage of the watch

Answer 1

1/4(SP-CP)=(SP/2-CP)
CP/SP=1/3

P%=2×100/1=200%

Answer 2

Answer:

200%

Step-by-step explanation:

Formula : $S.P. = C.P. + Profit$

We are given that If the selling price of a watch is halved,the profit becomes quartered.

$\frac{1}{2}S.P. = C.P. +\frac{1}{4} Profit$

Profit can written as SP - CP

So, $\frac{1}{2}S.P. = C.P. +\frac{1}{4}(SP-CP)$

$\frac{1}{2}S.P. = C.P. +\frac{1}{4}SP-\frac{1}{4}CP$

$\frac{1}{2}S.P. -\frac{1}{4}SP= C.P. -\frac{1}{4}CP$

$\frac{2SP-SP}{4}=\frac{4CP-CP}{4}$

$\frac{SP}{4}=\frac{3CP}{4}$

$\frac{SP}{CP}=\frac{3}{1}$

Profit = SP - CP =3-1 =2

Profit% = $\frac{Profit}{CP} \times 100$

Profit% = $\frac{2}{1} \times 100$

Profit% = 200%

Hence the profit percentage of the watch is 200%.