A vendor when could not find buyers for his vegetable at Re 10/kg, reduced the…

2024

A vendor when could not find buyers for his vegetable at Re 10/kg, reduced the rate to Re 8.10 per kg but uses a faulty weight of 900 gm in place of 1 kg weight. Find the percent change in the actual price or loss.

  1. A.

    8%

  2. B.

    9.5%

  3. C.

    9%

  4. D.

    10%

Attempted by 1 students.

Show answer & explanation

Correct answer: D

Step-by-Step Solution

To calculate the percent change in the actual price, we need to determine the effective cost per kilogram after the price reduction and the use of a faulty weight.

  1. Analyze the Initial State:

    • The original price is Rs. 10 per kg.

  2. Analyze the New State (After Price Reduction and Faulty Weight):

    • The vendor sells 900 grams for Rs. 8.10.

    • We need to find the price for a full 1000 grams (1 kg) at this new rate.

    • New Price per kg = (Rs. 8.10 / 900 grams) * 1000 grams

    • New Price per kg = (Rs. 8.10 / 0.9 kg) = Rs. 9 per kg.

  3. Calculate the Percent Change:

    • Original Price = Rs. 10 per kg.

    • Actual Price (New Price) = Rs. 9 per kg.

    • Percent Change = ((Original Price - New Price) / Original Price) * 100

    • Percent Change = ((10 - 9) / 10) * 100

    • Percent Change = (1 / 10) * 100 = 10%.

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