A car worth 1,50,000 was sold by X to Y at 5% profit. Y sold the car back to X at 2% loss. In the entire transaction

Options

A. X gained 4.350
B. Y lost 4,350
C. X gained 3,150
D. X lost 3,150

Answer

To solve the problem step by step, we will calculate the selling price of the car after each transaction and determine the overall profit or loss.

### Step 1: Calculate the Selling Price of the Car from X to Y
- The cost price (CP) of the car for X = ₹1,50,000
- X sells the car to Y at a profit of 5%.

**Formula to calculate Selling Price (SP):**
\[ SP = CP + (Profit \% \times CP) \]

**Calculation:**
\[ Profit = 5\% \text{ of } 1,50,000 = \frac{5}{100} \times 1,50,000 = 7,500 \]
\[ SP = 1,50,000 + 7,500 = 1,57,500 \]

### Step 2: Calculate the Selling Price of the Car from Y back to X
- Y sells the car back to X at a loss of 2%.

**Formula to calculate Selling Price (SP):**
\[ SP = CP - (Loss \% \times CP) \]

**Calculation:**
\[ Loss = 2\% \text{ of } 1,57,500 = \frac{2}{100} \times 1,57,500 = 3,150 \]
\[ SP = 1,57,500 - 3,150 = 1,54,350 \]

### Step 3: Determine the Overall Profit or Loss
- Now we need to find out the overall profit or loss for X.

**Calculation:**
- X's initial cost price = ₹1,50,000
- X's final selling price after buying back the car = ₹1,54,350

**Profit or Loss Calculation:**
\[ Profit = Final SP - Initial CP \]
\[ Profit = 1,54,350 - 1,50,000 = 4,350 \]

### Conclusion
- X made a profit of ₹4,350 in the entire transaction.

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