Question : If successive discounts of 5%, 10%, and p% are equivalent to a single discount of 31.6%, the value of p is:
Option 1: 15
Option 2: 25
Option 3: 20
Option 4: 30
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Correct Answer: 20
Solution : Single equivalent discount = $(a+b–\frac{a×b}{100})\%$, where $a$% and $b$% are two successive discounts. Single discount of 5% and 10% $= 5 + 10 - \frac{(50)}{100}=14.5$ Now, single discount of 14.5% and $p$% $= 14.5 + p - \frac{(14.5p)}{100}$ According to the question, $14.5 + p - \frac{(14.5p)}{100} = 31.6$ $⇒p - 0.145p = 17.1$ $⇒0.855p = 17.1$ $\therefore p = 20\%$ Hence, the correct answer is 20%.
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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%
Question : Successive discounts of 10% and 10% are equivalent to a single discount of:
Option 1: 18%
Option 2: 19%
Option 3: 20%
Option 4: 21%
Question : Which of the following will yield a maximum discount on INR 7,500? 1. Two successive discounts of 5% and 5% 2. Single discount of 10% 3. Two successive discounts of 8% and 2%
Option 1: 2
Option 2: 1
Option 3: All will yield the same discount
Option 4: 3
Question : The successive discounts of 12%, 20%, and 25% is equivalent to a single discount of:
Option 1: 52.2%
Option 2: 49.5%
Option 3: 47.2%
Option 4: 57.0%
Question : Three successive discounts of 10% are equivalent to a single discount of:
Option 1: 27.1%
Option 2: 19.0%
Option 3: 25.1%
Option 4: 26.2%
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