Ravi purchased an item for Rs. 23,000 and sold it at a loss of 8 percent. With that amount he purchased another item and sold it at a gain of 8 percent. What was his overall gain/loss?

Options

A. Loss Rs. 147.2
B. Gain Rs 147.2
C. Loss Rs 72.4
D. Gain Rs. 172.4

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Selling Price after Loss
Ravi purchased an item for Rs. 23,000 and sold it at a loss of 8%.

To find the selling price (SP) after the loss, we can use the formula:
\[ \text{SP} = \text{CP} - \text{Loss} \]
Where:
- CP = Cost Price = Rs. 23,000
- Loss = 8% of CP

First, we calculate the loss:
\[ \text{Loss} = \frac{8}{100} \times 23000 = 0.08 \times 23000 = 1840 \]

Now, we can find the selling price:
\[ \text{SP} = 23000 - 1840 = 21160 \]

### Step 2: Calculate the Cost Price of the Second Item
Ravi uses the amount he received from selling the first item (Rs. 21,160) to purchase another item.

### Step 3: Calculate the Selling Price after Gain
He sells the second item at a gain of 8%.

To find the selling price (SP) after the gain, we can use the formula:
\[ \text{SP} = \text{CP} + \text{Gain} \]
Where:
- CP = Cost Price of the second item = Rs. 21,160
- Gain = 8% of CP

First, we calculate the gain:
\[ \text{Gain} = \frac{8}{100} \times 21160 = 0.08 \times 21160 = 1692.8 \]

Now, we can find the selling price:
\[ \text{SP} = 21160 + 1692.8 = 22852.8 \]

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

Overall gain/loss can be calculated using:
\[ \text{Overall Gain/Loss} = \text{Final Selling Price} - \text{Initial Cost Price} \]
Where:
- Final Selling Price = Rs. 22,852.8
- Initial Cost Price = Rs. 23,000

Calculating the overall gain/loss:
\[ \text{Overall Gain/Loss} = 22852.8 - 23000 = -147.2 \]

This indicates a loss of Rs. 147.2.

### Conclusion
Ravi incurred an overall loss of Rs. 147.2.

---