Seema purchased an item for 9600 and sold it for loss of 5%. From that money she purchased another item and sold it for gain of 5%. What is her overall gain/loss ?

Options

A. 36
B. 24
C. 54
D. 38

Answer

To solve the problem step by step, we will calculate Seema's overall gain or loss from her transactions.

### Step 1: Calculate the Selling Price after Loss
Seema purchased an item for ₹9600 and sold it at a loss of 5%.

To find the selling price (SP) after a loss, we use the formula:
\[ \text{SP} = \text{CP} \times \left(1 - \frac{\text{Loss\%}}{100}\right) \]
Where:
- CP = Cost Price = ₹9600
- Loss% = 5%

Substituting the values:
\[ \text{SP} = 9600 \times \left(1 - \frac{5}{100}\right) \]
\[ \text{SP} = 9600 \times \left(1 - 0.05\right) \]
\[ \text{SP} = 9600 \times 0.95 \]
\[ \text{SP} = 9120 \]

### Step 2: Calculate the Cost Price of the Second Item
Seema used the money from the first sale (₹9120) to purchase another item.

### Step 3: Calculate the Selling Price after Gain
Now, she sells the second item at a gain of 5%.

To find the selling price (SP) after a gain, we use the formula:
\[ \text{SP} = \text{CP} \times \left(1 + \frac{\text{Gain\%}}{100}\right) \]
Where:
- CP = Cost Price of the second item = ₹9120
- Gain% = 5%

Substituting the values:
\[ \text{SP} = 9120 \times \left(1 + \frac{5}{100}\right) \]
\[ \text{SP} = 9120 \times \left(1 + 0.05\right) \]
\[ \text{SP} = 9120 \times 1.05 \]
\[ \text{SP} = 9576 \]

### Step 4: Calculate Overall Gain or Loss
Now, we need to find the overall gain or loss.

Overall Gain/Loss can be calculated as:
\[ \text{Overall Gain/Loss} = \text{Final Selling Price} - \text{Initial Cost Price} \]
Where:
- Final Selling Price = ₹9576
- Initial Cost Price = ₹9600

Substituting the values:
\[ \text{Overall Gain/Loss} = 9576 - 9600 \]
\[ \text{Overall Gain/Loss} = -24 \]

This means Seema has an overall loss of ₹24.

### Final Answer
Seema's overall loss is ₹24.

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