Anju sold an article to her friend Rakesh at 14% loss. If Rakesh sold it for ₹2,537 and made a profit of 18%, then the original cost price (in ₹) of the article for Anju was:

Let the original cost price for Anju be CP
Anju
​
.

Anju sold it to Rakesh at a 14% loss. Therefore, the cost price for Rakesh (CP
Rakesh
​
) is:

CP
Rakesh
​
=CP
Anju
​
×(1−
100
14
​
)=CP
Anju
​
×
100
86
​

Rakesh sold it for ₹2,537 making a profit of 18%:

SP
Rakesh
​
=CP
Rakesh
​
×(1+
100
18
​
)
2537=CP
Rakesh
​
×
100
118
​

CP
Rakesh
​
=
118
2537×100
​
=2150
Now substitute CP
Rakesh
​
=2150 back into the first equation:

2150=CP
Anju
​
×
100
86
​

CP
Anju
​
=
86
2150×100
​
=25×100=2500
Thus, the original cost price of the article for Anju was ₹2,500.