Question:

In terms of percentage profit,arrange the following transactions in decreasing order
1. Cost price: ₹36, Profit: 17
2. Cost price: ₹50, Profit: 24
3. Cost price: ₹40, Profit: 19
4. Cost price: 60, Profit: 29

Updated On: Jan 2, 2025
  • D>C>B>A
  • D>B>C>A
  • B>D>C>A
  • B>C>A>D
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The Correct Option is B

Solution and Explanation

The formula for percentage profit is:

\[ \text{Percentage profit} = \frac{\text{Profit}}{\text{Cost price}} \times 100 \]

For each transaction:

  • For A: \[ \text{Percentage profit} = \frac{17}{36} \times 100 = 47.22\% \]
  • For B: \[ \text{Percentage profit} = \frac{24}{50} \times 100 = 48\% \]
  • For C: \[ \text{Percentage profit} = \frac{19}{40} \times 100 = 47.5\% \]
  • For D: \[ \text{Percentage profit} = \frac{29}{60} \times 100 = 48.33\% \]

Thus, the transactions in decreasing order of percentage profit are:

\[D > B > C > A\]
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