Pankaj purchased an item for र 7500 and sold it at the gain of 24%. From that amount he purchased another item and sold it at the loss of 20%. What is his over all gain/loss?

Options

A. Loss of र 140
B. Gain of र60
C. Loss of र 60
D. Neither gain nor loss

Answer

To solve the problem step by step, we will follow the calculations as described in the video transcript.

### Step 1: Calculate the Selling Price (SP1) after the first purchase
Pankaj purchased an item for Rs 7500 and sold it at a gain of 24%.

- **Formula for Selling Price (SP)**:
\[ SP = CP \times \left(1 + \frac{Gain\%}{100}\right) \]
- **Given**:
- Cost Price (CP) = Rs 7500
- Gain% = 24%

- **Calculation**:
\[ SP1 = 7500 \times \left(1 + \frac{24}{100}\right) = 7500 \times \left(1 + 0.24\right) = 7500 \times 1.24 = 9300 \]

### Step 2: Calculate the Selling Price (SP2) after the second purchase
Pankaj used the amount from SP1 (Rs 9300) to purchase another item and sold it at a loss of 20%.

- **Formula for Selling Price (SP)** with loss:
\[ SP = CP \times \left(1 - \frac{Loss\%}{100}\right) \]
- **Given**:
- Cost Price (CP2) = Rs 9300
- Loss% = 20%

- **Calculation**:
\[ SP2 = 9300 \times \left(1 - \frac{20}{100}\right) = 9300 \times \left(1 - 0.20\right) = 9300 \times 0.80 = 7440 \]

### Step 3: Calculate Overall Gain or Loss
Now we need to find out if there was an overall gain or loss by comparing the initial cost price with the final selling price.

- **Initial Cost Price (CP)** = Rs 7500
- **Final Selling Price (SP2)** = Rs 7440

- **Calculation of Loss**:
\[ Loss = CP - SP2 = 7500 - 7440 = 60 \]

### Conclusion
Pankaj incurred an overall loss of Rs 60.

### Final Answer
The overall loss is Rs 60.

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