Question

A profit earn by selling an article of rs. 1500 is three times the loss incurred ,if the same article is sold for rs. 900. in order to earn a profit of 20%,at what price should the article be sold?

Answer 1

CP= 900+150 = 1500-450= 1050₹

Answer 2

Answer:

The selling price is Rs. 1260.

Step-by-step explanation:

Given : A profit earn by selling an article of rs. 1500 is three times the loss incurred ,if the same article is sold for rs. 900. in order to earn a profit of 20%.

To find : At what price should the article be sold?

Solution :

Let the cost price be x

We know,

Profit = SP-CP

and Loss=CP-SP

According to question,

Profit is 3 times loss

i.e, P=3L

1500-x=3(x-900)

1500-x=3x-2700

3x+x=1500+2700

4x=4100

x=1050

So, The cost price is Rs.1050.

Profit is 20%.

$SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+20}{100}\times 1050$

$SP=\frac{120}{100}\times 1050$

$SP=1260$

Therefore, The selling price is Rs. 1260.