Question

13. Bharat sold an article for ` 9450 and gained 20% on it. Find the cost price of the article.​

Answer 1

Solution!!

SP of the article = Rs 9450

Profit% = 20

We have to calculate CP of the article. There are two ways to do so.

First method:-

Let the CP be x.

Profit = SP - CP

Profit = 9450 - x

Profit% = (Profit/CP) × 100

20 = ((9450 - x)/x) × 100

20/100 = (9450 - x)/x

0.2 = (9450 - x)/x

0.2x = 9450 - x

0.2x + x = 9450

1.2x = 9450

x = 9450 ÷ 1.2

x = 7875

Hence, CP of the article = Rs 7875

Second method:-

CP = (SP × 100)/(100 + Profit%)

CP = (9450 × 100)/(100 + 20)

CP = 945000 ÷ 120

CP = Rs 7875