A man sells one camera A for Rs. 7500 at a gain of 20% and another camera B…

2025

A man sells one camera A for Rs. 7500 at a gain of 20% and another camera B for Rs. 8550 at a loss of 5 %. Find his total loss or gain%.

  1. A.

    2.7 %

  2. B.

    5.2 %

  3. C.

    4.2 %

  4. D.

    5.1 %

Attempted by 4 students.

Show answer & explanation

Correct answer: B

Step-by-Step Solution

To find the total profit or loss percentage, we must first determine the individual cost price (CP) for each camera, then find the total CP and total selling price (SP) for both.

  1. Calculate the CP of Camera A:

    • Selling Price (SP) = Rs. 7500, Gain = 20%

    • CP = SP / (1 + Gain%) = 7500 / 1.20 = Rs. 6250.

  2. Calculate the CP of Camera B:

    • Selling Price (SP) = Rs. 8550, Loss = 5%

    • CP = SP / (1 - Loss%) = 8550 / 0.95 = Rs. 9000.

  3. Calculate Total CP and Total SP:

    • Total CP = 6250 + 9000 = Rs. 15250.

    • Total SP = 7500 + 8550 = Rs. 16050.

  4. Calculate Total Profit/Loss:

    • Total Profit = Total SP - Total CP = 16050 - 15250 = Rs. 800.

    • Profit % = (Total Profit / Total CP) * 100 = (800 / 15250) * 100 = 5.245...% ≈ 5.2%.

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