In terms of percentage profit, which among following the best transaction.

Options

A. C. 36, Profit 17
B. C.P. 50, Profit 24
C. CP 10, profit 19
D. CP. 60, Profit 29

Answer

To determine which transaction yields the highest percentage profit among the given options, we will calculate the percentage profit for each option using the formula:

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

Let's calculate the percentage profit for each option step by step.

### Step 1: Calculate Percentage Profit for Option A
- **Cost Price (CP)** = 36
- **Profit** = 17

Using the formula:
\[ \text{Percentage Profit} = \left( \frac{17}{36} \right) \times 100 \]
\[ \text{Percentage Profit} = 0.4722 \times 100 \approx 47.22\% \]

### Step 2: Calculate Percentage Profit for Option B
- **Cost Price (CP)** = 50
- **Profit** = 24

Using the formula:
\[ \text{Percentage Profit} = \left( \frac{24}{50} \right) \times 100 \]
\[ \text{Percentage Profit} = 0.48 \times 100 = 48\% \]

### Step 3: Calculate Percentage Profit for Option C
- **Cost Price (CP)** = 10
- **Profit** = 19

Using the formula:
\[ \text{Percentage Profit} = \left( \frac{19}{10} \right) \times 100 \]
\[ \text{Percentage Profit} = 1.9 \times 100 = 190\% \]

### Step 4: Calculate Percentage Profit for Option D
- **Cost Price (CP)** = 60
- **Profit** = 29

Using the formula:
\[ \text{Percentage Profit} = \left( \frac{29}{60} \right) \times 100 \]
\[ \text{Percentage Profit} = 0.4833 \times 100 \approx 48.33\% \]

### Summary of Percentage Profits
- **Option A**: 47.22%
- **Option B**: 48%
- **Option C**: 190%
- **Option D**: 48.33%

### Conclusion
Among the four options, **Option C** yields the highest percentage profit of **190%**. Therefore, Option C is the best transaction.

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