Sujatha purchased two articles for a total of ₹1,080. By selling one at a profit of 25% and the other at a loss of 20%, she neither gains nor incurs a loss. What is the difference (in ₹) between the cost price of the two articles?

Let the cost price of the first article be CP
1
​
and the second article be CP
2
​
.
Given:

CP
1
​
+CP
2
​
=1080
Since there is overall no profit and no loss, the monetary profit on the first article must equal the monetary loss on the second article:

25% of CP
1
​
=20% of CP
2
​

100
25
​
×CP
1
​
=
100
20
​
×CP
2
​

5×CP
1
​
=4×CP
2
​

CP
2
​

CP
1
​

​
=
5
4
​

Let CP
1
​
=4k and CP
2
​
=5k.

4k+5k=1080⟹9k=1080⟹k=120
The cost prices are:

CP
1
​
=4×120=480
CP
2
​
=5×120=600
The difference between the cost prices is:

Difference=CP
2
​
−CP
1
​
=600−480=120