A bicycle originally costs Rs. 100 and was discounted 10%. After three months , it was sold after being discounted 15%. How much was the bicycle sold for ?

Options

A. Rs. 55.5
B. Rs. 95.25
C. Rs. 76.5
D. None of these

Answer

To find out how much the bicycle was sold for after applying the discounts, we can follow these steps:

### Step 1: Calculate the first discount
The original cost of the bicycle is Rs. 100, and it was discounted by 10%.

- **Formula to calculate the price after discount:**
\[ \text{Price after first discount} = \text{Original Price} \times \left(1 - \frac{\text{Discount Percentage}}{100}\right) \]

- **Calculation:**
\[ \text{Price after first discount} = 100 \times \left(1 - \frac{10}{100}\right) = 100 \times 0.90 = 90 \]

### Step 2: Calculate the second discount
After three months, the bicycle was sold with a further discount of 15%. This means it was sold at 85% of the price after the first discount.

- **Formula to calculate the selling price after second discount:**
\[ \text{Selling Price} = \text{Price after first discount} \times \left(1 - \frac{\text{Second Discount Percentage}}{100}\right) \]

- **Calculation:**
\[ \text{Selling Price} = 90 \times \left(1 - \frac{15}{100}\right) = 90 \times 0.85 = 76.5 \]

### Final Answer
The bicycle was sold for Rs. 76.5.

---