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What is the single discount that is equivalent to two successive discounts of 12.5% and 20%?
28%
27.5%
30%
31.5%
To find the single equivalent discount, we use the formula for successive discounts:
1. Formula: To find two successive discounts, take the formula:
$$ \text{Effective Discount} = a + b - \left(\frac{a \times b}{100}\right) $$
where \(a\) is the first discount (12.5%) and \(b\) is the second discount (20%).
2. Calculation:
- Effective Discount = 12.5% + 20% - \(\frac{12.5 \times 20}{100}\)
- = 32.5% - 2.5%
- = 30%
3. Comparison and Evaluation:
- Option 1: 28% - Below calculated effective discount.
- Option 2: 27.5% - Below calculated effective discount.
- Option 3: 30% - Matches calculated effective discount.
- Option 4: 31.5% - Above calculated effective discount.
By: santosh ProfileResourcesReport error
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