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A shopkeeper sells a TV at 20% profit. The cost price of this TV and selling price of a radio differ by Rs. 100, with the cost price of the TV being higher. He incurs a loss of 25% on the transaction of the radio. What is the net profit/loss in the two transactions taken together?
  • a)
    12.5% loss
  • b)
    2.5% profit
  • c)
    2.5% loss
  • d)
    12.5% profit
  • e)
    Cannot be determined 
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A shopkeeper sells a TV at 20% profit. The cost price of this TV and s...
Let the CP of the TV be Rs. x; SP of TV = Rs. 1.2x.
Since the cost price of the TV exceeds the selling price of the radio by Rs. 100, SP of radio = Rs. (x - 100). Since the shopkeeper incurs a loss of 25% on the radio transaction, CP of the radio = (x - 100)/0.75 = Rs. 1.33(x - 100).
Total CP = x + 1.33(x - 100) = Rs. (2.33x - 133) and total SP = 1.2x + (x - 100) = Rs. (2.2x - 100). Since the value of x is not known, the net profit/loss cannot be found.
Hence, option 5.  
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Most Upvoted Answer
A shopkeeper sells a TV at 20% profit. The cost price of this TV and s...
To solve this problem, let's assume the cost price of the TV is C, and the selling price of the radio is R.

Profit on TV
Given that the shopkeeper sells the TV at a 20% profit, we can calculate the selling price of the TV as:
Selling price of TV = Cost price of TV + 20% of Cost price of TV
Selling price of TV = C + 0.2C = 1.2C

Difference in prices
Given that the cost price of the TV and the selling price of the radio differ by Rs. 100, we can write the equation as:
Selling price of radio - Cost price of TV = Rs. 100
R - C = 100

Loss on radio
Given that the shopkeeper incurs a loss of 25% on the transaction of the radio, we can calculate the cost price of the radio as:
Cost price of radio = Selling price of radio + 25% of Selling price of radio
Cost price of radio = R + 0.25R = 1.25R

Now we have two equations:
1.2C = R + 100
1.25R = C

To find the net profit/loss, we need to find the difference between the total selling price and the total cost price.

Total selling price = Selling price of TV + Selling price of radio = 1.2C + R
Total cost price = Cost price of TV + Cost price of radio = C + 1.25R

Net Profit/Loss = Total selling price - Total cost price
Net Profit/Loss = (1.2C + R) - (C + 1.25R)
Net Profit/Loss = 1.2C + R - C - 1.25R
Net Profit/Loss = 0.2C - 0.25R

Since we do not have the values of C and R, we cannot determine the net profit/loss. Therefore, the correct answer is option E) Cannot be determined.
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A shopkeeper sells a TV at 20% profit. The cost price of this TV and selling price of a radio differ by Rs. 100, with the cost price of the TV being higher. He incurs a loss of 25% on the transaction of the radio. What is the net profit/loss in the two transactions taken together?a)12.5% lossb)2.5% profitc)2.5% lossd)12.5% profite)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?
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A shopkeeper sells a TV at 20% profit. The cost price of this TV and selling price of a radio differ by Rs. 100, with the cost price of the TV being higher. He incurs a loss of 25% on the transaction of the radio. What is the net profit/loss in the two transactions taken together?a)12.5% lossb)2.5% profitc)2.5% lossd)12.5% profite)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper sells a TV at 20% profit. The cost price of this TV and selling price of a radio differ by Rs. 100, with the cost price of the TV being higher. He incurs a loss of 25% on the transaction of the radio. What is the net profit/loss in the two transactions taken together?a)12.5% lossb)2.5% profitc)2.5% lossd)12.5% profite)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sells a TV at 20% profit. The cost price of this TV and selling price of a radio differ by Rs. 100, with the cost price of the TV being higher. He incurs a loss of 25% on the transaction of the radio. What is the net profit/loss in the two transactions taken together?a)12.5% lossb)2.5% profitc)2.5% lossd)12.5% profite)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?.
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