Question

there is 25%profit if an article is sold in 150 at what percent should the selling price be increased so that there will be 30%profit​

Answer 1

=> Rate of increase of SP to profit 30%=4%

Answer 2

Given :

Profit percentage of article : 25%

Selling price of the article : ₹150

To find :

The percentage in the increase of selling price if it is sold at 30% of profit.

Solution :

First, we should find the cost price of the article.

Cost price of the article :

$\sf \dashrightarrow \dfrac{100}{(100 + Profit\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 + 25)} \times 150$

$\sf \dashrightarrow \dfrac{100}{125} \times 150$

$\sf \dashrightarrow \dfrac{4}{5} \times 150$

$\sf \dashrightarrow \dfrac{4 \times 150}{5} = \dfrac{600}{5}$

$\sf \dashrightarrow \cancel \dfrac{600}{5} = 120$

Now, we should find the new selling price of the article.

New selling price of the article :

$\sf \dashrightarrow \dfrac{(100 + Profit\%)}{100} \times CP$

$\sf \dashrightarrow \dfrac{(100 + 30)}{100} \times 120$

$\sf \dashrightarrow \dfrac{130}{100} \times 120$

$\sf \dashrightarrow \dfrac{13}{10} \times 120$

$\sf \dashrightarrow \dfrac{13 \times 120}{10} = \dfrac{1560}{10}$

$\sf \dashrightarrow \cancel \dfrac{1560}{10} = 156$

Now, we can find the percent of increase in the selling price.

Percent of increase in new selling price :

$\sf \dashrightarrow \dfrac{156 - 150}{150} \times 100$

$\sf \dashrightarrow \dfrac{6}{150} \times 100$

$\sf \dashrightarrow \dfrac{6}{3} \times 2$

$\sf \dashrightarrow \dfrac{6 \times 2}{3} = \dfrac{12}{3}$

$\sf \dashrightarrow \cancel \dfrac{12}{3} = 4\%$

Hence, the percentage of increase in new selling price is 4%.