The successive discounts of 30%. 25% and 15% is equivalent to a single discount of:
This questions was previously asked in
SSC CPO 13th-March-2019-Shift-2
Explanation:
- To find the equivalent single discount, we apply each successive discount on the reduced price from the previous step.
- First discount of 30% on 100 leaves 70% of the price: \(100 \times (1 - 0.30) = 70\).
- Second discount of 25% on the new price: \(70 \times (1 - 0.25) = 52.5\).
- Third discount of 15% on the latest price: \(52.5 \times (1 - 0.15) = 44.625\).
- The final price is 44.625% of the original, meaning a total discount of \(100 - 44.625 = 55.375%\).
Therefore, the equivalent single discount is:
Option 2: 55.375%
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