Question

A man makes a profit of 15% by selling an article for Rs. 250. At what rate should he sell it to make a profit of 38%?

Answer 1

Step-by-step explanation:

SP = Rs 250

Making profit of 15%

Let CP be Rs x

Profit = SP - CP

Profit = 250 - x

Now,

$profit\% = \frac{profit}{cp} \times 100$

$15 = \frac{250 - x}{x} \times 100$

$\frac{15}{100} = \frac{250 - x}{x}$

$\frac{15x}{100} = 250 - x$

$\frac{15x}{100} + x = 250$

$\frac{115x}{100} = 250$

$x = 250 \times \frac{100}{115}$

x = Rs.217.4

Therefore, CP = Rs.217.4

Now, the seller has to make 38% profit.

CP = Rs. 217.4

Profit% = 38%

$profit\% = \frac{profit}{cp} \times 100$

$38 = \frac{profit}{217.4} \times 100$

$38\times \frac{217.4}{100} = profit$

Rs.82.6 = profit

Profit = SP - CP

82.6 = SP - 217.4

82.6 + 217.4 = SP

Rs. 230 = SP

Therefore, the seller has to sell the product at cost Rs. 230 to make 38% profit.

Answer 2

Step-by-step explanation:

Step-by-step explanation:

SP = Rs 250

Making profit of 15%

Let CP be Rs x

Profit = SP - CP

Profit = 250 - x

Now,

profit\% = \frac{profit}{cp} \times 100profit%=cpprofit×100

15 = \frac{250 - x}{x} \times 10015=x250−x×100

\frac{15}{100} = \frac{250 - x}{x}10015=x250−x

\frac{15x}{100} = 250 - x10015x=250−x

\frac{15x}{100} + x = 25010015x+x=250

\frac{115x}{100} = 250100115x=250

x = 250 \times \frac{100}{115}x=250×115100

x = Rs.217.4

Therefore, CP = Rs.217.4

Now, the seller has to make 38% profit.

CP = Rs. 217.4

Profit% = 38%

profit\% = \frac{profit}{cp} \times 100profit%=cpprofit×100

38 = \frac{profit}{217.4} \times 10038=217.4profit×100

38\times \frac{217.4}{100} = profit38×100217.4=profit

Rs.82.6 = profit

Profit = SP - CP

82.6 = SP - 217.4

82.6 + 217.4 = SP

Rs. 230 = SP

Therefore, the seller has to sell the product at cost Rs. 230 to make 38% profit.