Giving two successive discounts of 60% is equal to giving one discount of………………%.

Options

A. a)90
B. b)72
C. c)96
D. d)84

Answer

To find the equivalent single discount for two successive discounts of 60%, we can use the formula for calculating the effective discount when two discounts are applied successively. The formula is:

\[ D = D1 + D2 - \frac{D1 \times D2}{100} \]

Where:
- \(D1\) is the first discount percentage,
- \(D2\) is the second discount percentage,
- \(D\) is the effective discount percentage.

### Step-by-Step Solution:

1. **Identify the Discounts**:
- Here, both discounts are 60%. So, \(D1 = 60\%\) and \(D2 = 60\%\).

2. **Substitute the Values into the Formula**:
\[ D = 60 + 60 - \frac{60 \times 60}{100} \]

3. **Calculate the Product of the Discounts**:
- First, calculate \(60 \times 60 = 3600\).

4. **Divide by 100**:
\[ \frac{3600}{100} = 36 \]

5. **Combine the Results**:
\[ D = 60 + 60 - 36 \]

6. **Perform the Addition and Subtraction**:
\[ D = 120 - 36 = 84 \]

7. **Conclusion**:
- Therefore, the equivalent single discount for two successive discounts of 60% is \(84\%\).

### Final Answer:
The equivalent single discount is **84%**.

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