Find the single discount equivalent to successive discounts of 25%, 20% and 10%.
2025
Find the single discount equivalent to successive discounts of 25%, 20% and 10%.
- A.
55%
- B.
50%
- C.
46%
- D.
42%
- E.
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Correct answer: C
To find the single equivalent discount for successive discounts of 25%, 20%, and 10%, we can calculate the final price after these discounts are applied sequentially to an initial value of 100.
Step-by-Step Calculation
Initial Value: Assume the marked price is 100.
First Discount (25%):
Discount = 25% of 100 = 25.
Remaining value = 100 - 25 = 75.
Second Discount (20%):
Discount = 20% of 75 = 15.
Remaining value = 75 - 15 = 60.
Third Discount (10%):
Discount = 10% of 60 = 6.
Remaining value = 60 - 6 = 54.
Final Equivalent Discount:
Total discount = Initial value - Final value = 100 - 54 = 46.
As a percentage, this is 46%.