Question : The successive discounts of 15%, 20%, and 25% on an article are equivalent to the single discount of:
Option 1: 60%
Option 2: 47%
Option 3: 49%
Option 4: 40%
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Correct Answer: 49%
Solution :
Single discount of the two successive discounts of 15% and 20%
= (15 + 20 – $\frac{15×20}{100}$)% = (35 – 3)% = 32%
Now, the single discount of two successive discounts of 32% and 25%
= (32 + 25 – $\frac{32×25}{100}$)% = (57 – 8)% = 49%
Therefore, the successive discounts of 15%, 20% and 25% on an article are equivalent to the successive discounts of 49%.
Hence, the correct answer is 49%.
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