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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?

  1. A
    Rs. 280.50
  2. B
    Rs. 202.50
  3. C
    Rs. 210
  4. D
    Rs. 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

Practice this question

Try it yourself before checking the explanation above.

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?
A
Rs. 280.50
B
Rs. 202.50
C
Rs. 210
D
Rs. 220

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