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A shopkeeper purchases a product for Rs.100 and sells it making a profit of 10%. The customer resells it to the same shopkeeper incurring a loss of 10
Question

A shopkeeper purchases a product for Rs.100 and sells it making a profit of 10%. The customer resells it to the same shopkeeper incurring a loss of 10%. In these dealings the shopkeeper makes

A.

No Profit, no Loss 

B.

Rs. 11

C.

Rs. 1

D.

Rs. 20

Correct option is B

Given:

  • Shopkeeper buys the product at Rs. 100
  • He sells it to the customer at 10% profit

Solution:

Step 1: Shopkeeper sells to customer

Selling price = Cost Price + 10% of Cost Price
= 100 + (10% of 100)
= 100 + 10 = Rs. 110

Now the customer owns the product.

Step 2: Customer resells it to the same shopkeeper

The customer sells it at a 10% loss on Rs. 110
Loss = 10% of 110 = Rs. 11
So, selling price = 110 − 11 = Rs. 99

Now the shopkeeper buys the product again for Rs. 99

Overall Transaction for Shopkeeper:

  • He sold at Rs. 110 (profit in first transaction)
  • He bought it back at Rs. 99 (product is back with him)
  • Net gain = Rs. 110 − Rs. 99 = Rs. 11

Final Answer: (B) Rs. 11

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