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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