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A trader bought 10 kg of rice of at Rs. 400 per kg. he sold half the quantity at 20% loss and remaining at 10% profit. What was his net profit or loss in percentage?
- A5% loss
- B5% gain
- C10% loss
- D10% gain
Answer not set
Discussion 1
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CCommunity
Cost price of 10 kg of rice = Rs. 400 × 10 = Rs. 4000
Cost price of 5 kg of rice = Rs. 2000 and the cost price of the remaining 5 kg of rice = Rs. 2000
Also given that trader got 20% loss for half of the quantity
We know that loss% = (CP - SP)/CP × 100
⇒ 20 = (2000 - SP)/2000 × 100
⇒ 200000 - 40000 = 100SP
⇒ SP = Rs. 1600
∴ Loss for first half = 2000 - 1600 = Rs. 400
Also given that profit for second half is 10%
⇒ 10 = (SP - 2000)/2000 × 100
⇒ 100SP = 20000 + 200000
⇒ SP = 2200
∴ Profit for second half = 2200 - 2000 = Rs. 200
∴ Net there is a loss of Rs. 200
Final loss % = (net loss/total cost price × 100) = 200/4000 × 100 = 5%
Cost price of 5 kg of rice = Rs. 2000 and the cost price of the remaining 5 kg of rice = Rs. 2000
Also given that trader got 20% loss for half of the quantity
We know that loss% = (CP - SP)/CP × 100
⇒ 20 = (2000 - SP)/2000 × 100
⇒ 200000 - 40000 = 100SP
⇒ SP = Rs. 1600
∴ Loss for first half = 2000 - 1600 = Rs. 400
Also given that profit for second half is 10%
⇒ 10 = (SP - 2000)/2000 × 100
⇒ 100SP = 20000 + 200000
⇒ SP = 2200
∴ Profit for second half = 2200 - 2000 = Rs. 200
∴ Net there is a loss of Rs. 200
Final loss % = (net loss/total cost price × 100) = 200/4000 × 100 = 5%