A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?
- ARs. 280.50
- BRs. 202.50
- CRs. 210
- DRs. 220
Solution & Step-by-step Explanation
Step 1: Selling price of the first item after a 5% loss.
Cost Price (CP)
1
=4500
Selling Price (SP)
1
=4500×(1−
100
5
)=4500×0.95=Rs. 4275
Step 2: He uses this money (Rs. 4275) to buy a second item and sells it at a 10% profit.
Cost Price (CP)
2
=4275
Selling Price (SP)
2
=4275×(1+
100
10
)=4275×1.10=Rs. 4702.50
Step 3: Find the overall profit.
Overall Profit=Final SP−Initial CP=4702.50−4500=Rs. 202.50
Cost Price (CP)
1
=4500
Selling Price (SP)
1
=4500×(1−
100
5
)=4500×0.95=Rs. 4275
Step 2: He uses this money (Rs. 4275) to buy a second item and sells it at a 10% profit.
Cost Price (CP)
2
=4275
Selling Price (SP)
2
=4275×(1+
100
10
)=4275×1.10=Rs. 4702.50
Step 3: Find the overall profit.
Overall Profit=Final SP−Initial CP=4702.50−4500=Rs. 202.50