The successive discounts of 30%, 25% and 15% is equivalent to a single discount of?Options
Question
The successive discounts of 30%, 25% and 15% is equivalent to a single discount of?
Options:
Solution
To find the equivalent single discount for successive discounts, we can use the formula:
Equivalent single discount = 1 - (1 - d1) * (1 - d2) * (1 - d3)
where d1, d2, and d3 are the three successive discounts.
Here, d1 = 30% = 0.30, d2 = 25% = 0.25, and d3 = 15% = 0.15.
So, the equivalent single discount = 1 - (1 - 0.30) * (1 - 0.25) * (1 - 0.15)
= 1 - (0.70 * 0.75 * 0.85)
= 1 - 0.44625
= 0.55375
So, the successive discounts of 30%, 25%, and 15% is equivalent to a single discount of approximately 55.375%.
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