Question

by selling an article for Rs.285 a man lose 5%.at what price he should sell to make a profit of 10%?

Answer 1

Sp of article= Rs 285
Loss=5 percent
Cp = 100 x 285/100-5
Cp = Rs 300

Now, profit = 10 percent
Sp = (100 + p percent) x Cp /100
=(100+10) x 300/100
=Rs300

Answer 2

Rs.330 is the selling price of the article to make 10% profit.

Given:

The selling price of the article sold by the man is Rs. 285

The loss percentage of the man on selling the said article is 5%

To find:

Selling price to make profit of 10%  = ?

Solution:

Let us take S.P. = Rs. 285

The loss percentage = 5%

Now the owner wants to make a profit of 10%,  

so how will he profit from the transaction

The formula for loss percentage:

${Loss} \%=\frac{C . P-S . P}{C . P} \times 100$

The formula for profit percentage:

${Profit}\%=\frac{S . P-C . P}{C . P}\times 100$

Putting the values in respective positions

${Loss}\%=\left(\frac{S \cdot P-C . P}{C . P} \times 100\right);$

$5=\frac{C . P-285}{C . P} \times 100$

$C.P.=Rs.300.$

The cost price of the article is $Rs. 300$

Now with the cost price of the article being $Rs. 300$

The Selling Price of the article that would fetch a profit of 10% is

${Profit}\%=\frac{S.P-C . P}{C. P} \times 100$

$10=\frac{S . P-300}{300} \times 100$

$0.1 \times 300=S . P-300$

$S.P.=Rs.330$

The selling price of the article sold at 10% profit is Rs. 330.