Jagat Singh sold an article for Rs. 6,000 and incurred a loss. Had he sold it for Rs. 7,400, his profit would have been
3
2
​
of the amount of loss that he incurred. At what price should he sell it to gain 25% profit?

Let the Cost Price of the article be CP.
First selling price (SP
1
​
) =6000 (Loss condition)

Loss=CP−6000
Second selling price (SP
2
​
) =7400 (Profit condition)

Profit=7400−CP
Given relationship:

Profit=
3
2
​
×Loss
7400−CP=
3
2
​
(CP−6000)
3×(7400−CP)=2×(CP−6000)
22200−3CP=2CP−12000
22200+12000=5CP
34200=5CP
CP=
5
34200
​
=Rs. 6,840
To gain 25% profit, the required selling price is:

Required SP=CP×125%=6840×
4
5
​
=1710×5=Rs. 8,550