Question : Find the single equivalent discount for successive discounts of 12%, 18%, and 25% on the marked price of a car.
Option 1: 35.28%
Option 2: 42.65%
Option 3: 40.25%
Option 4: 45.88%
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Correct Answer: 45.88%
Solution : Given, Discounts = 12%, 18%, and 25% Let the marked price be 100. For three successive discounts Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×\frac{100-\text{Discount}_3\%}{100}×$ marked price ⇒ After discount the price = $100 × (\frac{88}{100}) × (\frac{82}{100}) × (\frac{75}{100})= 54.12\%$ $\therefore$ Single equivalent discount = $(\frac{100 – 54.12}{100}) × 100=45.88\%$ Hence, the correct answer is 45.88%.
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Question : Three successive discounts of 25% each on the marked price of an item are together equivalent to a single discount of (correct up to 2 decimal places):
Option 1: 62.35%
Option 2: 60.25%
Option 3: 56.45%
Option 4: 57.81%
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 : 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 : The single discount equivalent to two successive discounts of 15% and 12% on an article is:
Option 1: 3%
Option 2: 25.2%
Option 3: 74.8%
Option 4: 27%
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%
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