A man sold two steel chairs for Rs. 660 each. On one, he gains 20% and on…

2023

A man sold two steel chairs for Rs. 660 each. On one, he gains 20% and on other, he loses 125. How much does he gain or lose in the whole transaction ?

  1. A.

    2.02% gain

  2. B.

    1.32% loss

  3. C.

    1.53% gain

  4. D.

    2.12% loss

Attempted by 8 students.

Show answer & explanation

Correct answer: B

Note: the phrase "loses 125" in the question is ambiguous. The most natural interpretation is a loss of Rs. 125 (a monetary loss). The following solution uses that interpretation.

Step 1: First chair (20% gain).

  • Selling price = Rs. 660. Cost price = 660 ÷ 1.20 = Rs. 550.

Step 2: Second chair (loss of Rs. 125).

  • Selling price = Rs. 660. If the loss is Rs. 125, cost price = 660 + 125 = Rs. 785.

Step 3: Total cost and selling values.

  • Total cost price = 550 + 785 = Rs. 1335.

  • Total selling price = 660 + 660 = Rs. 1320.

Step 4: Net result and percentage.

  • Net loss = Total cost − Total selling = 1335 − 1320 = Rs. 15.

  • Loss percentage = (15 ÷ 1335) × 100 ≈ 1.1236% ≈ 1.12% loss.

Conclusion: under the natural reading that the second chair has a monetary loss of Rs. 125, the overall result is about 1.12% loss. The provided choices do not exactly match this value, so check the intended wording (there may be a typo such as "loses 12%" or similar).

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