Yusuf purchased an item for ₹5,500 and sold it at a profit of 15%. From that amount, he purchased another item and sold it at 12% profit. What is his overall gain?

Initial Cost Price (CP
1
​
) = ₹5,500

First selling price (SP
1
​
) after a 15% profit:

SP
1
​
=5500×(1+
100
15
​
)=5500×1.15=₹6,325
With this amount, he buys a second item. Thus, the Cost Price of the second item (CP
2
​
) = ₹6,325.

He sells this second item at a profit of 12%:

SP
2
​
=6325×(1+
100
12
​
)=6325×1.12=₹7,084
The overall gain is the final selling price minus the initial cost price:

Overall Gain=SP
2
​
−CP
1
​

Overall Gain=7084−5500=₹1,485
Alternative Method (Using Successive Percentage Change):
Overall profit percentage =a+b+
100
ab
​


Overall Profit %=15+12+
100
15×12
​
=27+1.8=28.8%
Overall Gain=28.8% of 5500=
100
28.8
​
×5500=28.8×55=₹1,485