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Ravi sells his TV for 20% profit and his radio for 15% loss. It is known that the cost price of radio is 20% the cost price of TV. Find the overall profit or loss percentage?
  • a)
    15% loss
  • b)
    15% profit
  • c)
    25% loss
  • d)
    25% profit
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ravi sells his TV for 20% profit and his radio for 15% loss. It is kno...
Let CP of TV = 100
Then CP of Radio = 20% of 100 = 20
SP of TV = 1.2(100) = 120
SP of Radio = (0.85)(20) = 17
Total SP = 120+17 = 137
Total CP = 100+20 = 120
Profit = 137-120 = 17
So the answer is option B.
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Most Upvoted Answer
Ravi sells his TV for 20% profit and his radio for 15% loss. It is kno...
Understanding the Problem
Ravi sells a TV and a radio, where the cost price of the radio is 20% of the cost price of the TV. He makes a profit on the TV and a loss on the radio. We need to calculate the overall profit or loss percentage.
Let’s Define Cost Prices
- Let the cost price of the TV be CP(TV) = 100 (for simplicity).
- Then, the cost price of the radio will be CP(Radio) = 20% of CP(TV) = 20% of 100 = 20.
Calculating Selling Prices
- Selling Price of TV: Ravi sells the TV for a 20% profit.
- SP(TV) = CP(TV) + Profit = 100 + (20% of 100) = 100 + 20 = 120.
- Selling Price of Radio: Ravi sells the radio for a 15% loss.
- SP(Radio) = CP(Radio) - Loss = 20 - (15% of 20) = 20 - 3 = 17.
Calculating Total Costs and Revenues
- Total Cost Price (CP) = CP(TV) + CP(Radio) = 100 + 20 = 120.
- Total Selling Price (SP) = SP(TV) + SP(Radio) = 120 + 17 = 137.
Calculating Overall Profit or Loss
- Total Profit = Total SP - Total CP = 137 - 120 = 17.
- Profit Percentage = (Total Profit / Total CP) * 100 = (17 / 120) * 100 ≈ 14.17%.
Since the profit percentage is approximately 15%, we can conclude:
Final Conclusion
- The overall result is a 15% profit. Therefore, the correct answer is option 'B'.
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Ravi sells his TV for 20% profit and his radio for 15% loss. It is known that the cost price of radio is 20% the cost price of TV. Find the overall profit or loss percentage?a)15% lossb)15% profitc)25% lossd)25% profitCorrect answer is option 'B'. Can you explain this answer?
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