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. The successive discounts of 12%, 20% and 25% is equivalent to a single discount of:
52.2%
49.5%
47.2%
57.0%
To find the equivalent single discount of successive discounts of 12%, 20%, and 25%, you can follow these steps:
- Start with an initial price of 100.
- First, apply the 12% discount: 100 - 12% of 100 = 88.
- Next, apply the 20% discount on the new price: 88 - 20% of 88 = 70.4.
- Finally, apply the 25% discount on the latest price: 70.4 - 25% of 70.4 = 52.8.
Now, calculate the overall discount:
- Initial price was 100, and the final price is 52.8.
- Hence, the total discount is (100 - 52.8) = 47.2%.
So, the equivalent single discount is 47.2%.
Option 3, 47.2%, is correct.
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