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

• A. D>C>B>A
• B. D>B>C>A
• C. B>D>C>A
• D. B>C>A>D

Answer 1

The Correct Option is B

To solve this problem, we need to calculate the percentage profit for each transaction and then arrange them in decreasing order based on their percentage profit.

The formula to calculate percentage profit is: 

\(\text{Percentage Profit} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \%\)

1. For transaction A:
   \(\text{Cost Price} = ₹36, \text{Profit} = ₹17\).
   \(\text{Percentage Profit} = \left( \frac{17}{36} \right) \times 100 \approx 47.22\%\).
2. For transaction B:
   \(\text{Cost Price} = ₹50, \text{Profit} = ₹24\).
   \(\text{Percentage Profit} = \left( \frac{24}{50} \right) \times 100 = 48\%\).
3. For transaction C:
   \(\text{Cost Price} = ₹40, \text{Profit} = ₹19\).
   \(\text{Percentage Profit} = \left( \frac{19}{40} \right) \times 100 = 47.5\%\).
4. For transaction D:
   \(\text{Cost Price} = ₹60, \text{Profit} = ₹29\).
   \(\text{Percentage Profit} = \left( \frac{29}{60} \right) \times 100 \approx 48.33\%\).

Now, let's arrange these transactions in decreasing order of their percentage profit:

• Transaction D: 48.33%
• Transaction B: 48%
• Transaction C: 47.5%
• Transaction A: 47.22%

Therefore, the correct order is: D > B > C > A

Hence, the correct answer is D>B>C>A.

Answer 2

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:

\[D > B > C > A\]