Find the single equivalent discount of three successive discounts of 10%, 25% and 20%?Question 17Answera.55b.41c.46d.56
Question
Solution
To find the single equivalent discount of three successive discounts, we need to use the formula:
D = 100 - [100 * (1 - d1/100) * (1 - d2/100) * (1 - d3/100)]
where D is the equivalent discount and d1, d2, d3 are the three successive discounts.
Here, d1 = 10%, d2 = 25%, and d3 = 20%.
So,
D = 100 - [100 * (1 - 10/100) * (1 - 25/100) * (1 - 20/100)] = 100 - [100 * (0.9) * (0.75) * (0.8)] = 100 - [100 * 0.54] = 100 - 54 = 46
So, the single equivalent discount of three successive discounts of 10%, 25%, and 20% is 46%. Therefore, the answer is c.46.
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