A man bought some apples at 4 for Rs 5 and sold them at 5 Rs 4. Find his gain or loss percent.

Options

A. 36% gain
B. 36% loss
C. 44% gain
D. 36% gain

Answer

To solve the problem of finding the gain or loss percentage when a man buys apples at one price and sells them at another, we can follow these steps:

### Step 1: Determine the Cost Price (CP)
The man buys apples at the rate of 4 apples for Rs 5.
- Therefore, the Cost Price (CP) of 4 apples = Rs 5.

### Step 2: Calculate the Cost Price for 20 apples
To make calculations easier, we will find the CP for 20 apples (since both buying and selling will be calculated for the same number of apples).
- If 4 apples cost Rs 5, then for 20 apples:
\[ \text{CP for 20 apples} = 5 \times \left(\frac{20}{4}\right) = 5 \times 5 = Rs 25. \]

### Step 3: Determine the Selling Price (SP)
The man sells apples at the rate of 5 apples for Rs 4.
- Therefore, the Selling Price (SP) of 5 apples = Rs 4.

### Step 4: Calculate the Selling Price for 20 apples
Now, we will calculate the SP for 20 apples:
- If 5 apples cost Rs 4, then for 20 apples:
\[ \text{SP for 20 apples} = 4 \times \left(\frac{20}{5}\right) = 4 \times 4 = Rs 16. \]

### Step 5: Calculate the Loss
Now we can find the loss incurred by the man:
- Loss = CP - SP
\[ \text{Loss} = 25 - 16 = Rs 9. \]

### Step 6: Calculate the Loss Percentage
To find the loss percentage, we use the formula:
\[ \text{Loss Percentage} = \left(\frac{\text{Loss}}{\text{CP}}\right) \times 100. \]
Substituting the values:
\[ \text{Loss Percentage} = \left(\frac{9}{25}\right) \times 100 = 36\%. \]

### Conclusion
The man incurred a loss of 36%.

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