Ashok sold a tv and a dvd • He sold a tv at 4% loss and dvd at 16% profit. On…

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Ashok sold a tv and a dvd • He sold a tv at 4% loss and dvd at 16% profit. On the whole he made neither a profit nor loss. Had he sold the tv at 16% profit and dvd at 4% loss. He would have made a profit of rs. 2700 on the whole. Find the total cost rice?

  1. A.

    25200

  2. B.

    2250

  3. C.

    2520

  4. D.

    None of these

Attempted by 1 students.

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Correct answer: D

Step-by-Step Solution

Let the cost price of the TV be T and the cost price of the DVD be D.

  1. Analyze the first scenario (no profit, no loss):

    • Loss on TV = 4% of T = 0.04T

    • Profit on DVD = 16% of D = 0.16D

    • Since there is no net profit or loss: 0.04T = 0.16D

    • This simplifies to: T = 4D (Equation 1)

  2. Analyze the second scenario (profit of Rs. 2700):

    • Profit on TV = 16% of T = 0.16T

    • Loss on DVD = 4% of D = 0.04D

    • Net profit = 0.16T - 0.04D = 2700 (Equation 2)

  3. Solve the system:

    • Substitute T = 4D from Equation 1 into Equation 2:

    • 0.16(4D) - 0.04D = 2700

    • 0.64D - 0.04D = 2700

    • 0.60D = 2700

    • D = 2700 / 0.60 = 4500

  4. Find total cost price:

    • D = 4500

    • T = 4D = 4 * 4500 = 18000

    • Total Cost Price = T + D = 18000 + 4500 = Rs. 22500

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