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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%


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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