A sold a car to B at a profit of 25%. B incurred loss of 15% while selling the same car to C. A spent Rs. 50000 for this car. At what price did C buy it?

Options

A. a. Rs. 62500
B. b. Rs. 60000
C. c. Rs. 53125
D. d. Rs. 90000

Answer

To solve the problem step by step, we will calculate the selling price of the car from A to B and then from B to C.

### Step 1: Calculate the selling price of the car from A to B.

A bought the car for Rs. 50,000 and sold it to B at a profit of 25%.

**Formula for selling price with profit:**
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]
Where Profit = Cost Price × Profit Percentage

**Calculation:**
1. Calculate the profit:
\[ \text{Profit} = 50000 \times \frac{25}{100} = 50000 \times 0.25 = 12500 \]
2. Calculate the selling price:
\[ \text{Selling Price} = 50000 + 12500 = 62500 \]

### Step 2: Calculate the selling price of the car from B to C.

B sold the car to C at a loss of 15%.

**Formula for selling price with loss:**
\[ \text{Selling Price} = \text{Cost Price} - \text{Loss} \]
Where Loss = Cost Price × Loss Percentage

**Calculation:**
1. Calculate the loss:
\[ \text{Loss} = 62500 \times \frac{15}{100} = 62500 \times 0.15 = 9375 \]
2. Calculate the selling price:
\[ \text{Selling Price} = 62500 - 9375 = 53125 \]

### Final Answer:
C bought the car for Rs. 53,125.

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