A person bought a bike in Rs.75000. But because of some reasons, he had to sell it at a loss of 15%. What is the SP of the bike?

Options

A. Rs.68500
B. Rs.63750
C. Rs.60000
D. Rs.65870

Answer

To find the selling price (SP) of the bike after a loss of 15%, we can follow these steps:

### Step 1: Understand the Cost Price (CP)
The cost price (CP) of the bike is given as Rs. 75,000.

### Step 2: Calculate the Loss Percentage
The loss percentage is given as 15%.

### Step 3: Calculate the Amount of Loss
To find the amount of loss, we can use the formula:
\[ \text{Loss} = \text{CP} \times \frac{\text{Loss Percentage}}{100} \]
Substituting the values:
\[ \text{Loss} = 75000 \times \frac{15}{100} = 75000 \times 0.15 = 11250 \]

### Step 4: Calculate the Selling Price (SP)
The selling price can be calculated using the formula:
\[ \text{SP} = \text{CP} - \text{Loss} \]
Substituting the values:
\[ \text{SP} = 75000 - 11250 = 63750 \]

### Conclusion
The selling price (SP) of the bike is Rs. 63,750.

---