Two successive discounts of 5% and 15% are given by Rakesh on a table. If the marked price of the table is Rs 2000, then what is the value (in Rs) of discount?

Options

A. 385
B. 425
C. 330
D. 500

Answer

To solve the problem of finding the value of the discount given two successive discounts of 5% and 15% on a table with a marked price of Rs 2000, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Discounts**:
- The first discount is 5%.
- The second discount is 15%.

2. **Use the Successive Discount Formula**:
- The formula for calculating the effective discount when two successive discounts are applied is:
\[ \text{Effective Discount} = A + B - \frac{A \times B}{100} \]
where \( A \) is the first discount percentage and \( B \) is the second discount percentage.

3. **Substitute the Values**:
- Substitute \( A = 5 \) and \( B = 15 \) into the formula:
\[ \text{Effective Discount} = 5 + 15 - \frac{5 \times 15}{100} \]

4. **Calculate the Product**:
- Calculate \( \frac{5 \times 15}{100} = \frac{75}{100} = 0.75 \).

5. **Calculate the Effective Discount**:
- Now substitute back into the formula:
\[ \text{Effective Discount} = 5 + 15 - 0.75 = 20 - 0.75 = 19.25\% \]

6. **Calculate the Discount Amount**:
- To find the discount amount in rupees, apply the effective discount percentage to the marked price:
\[ \text{Discount Amount} = \frac{19.25}{100} \times 2000 \]

7. **Perform the Calculation**:
- Calculate:
\[ \text{Discount Amount} = 19.25 \times 20 = 385 \]

### Final Answer:
The value of the discount is Rs 385.

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