Question : The ratio of three numbers is 6 : 5 : 9. If 20% of the first number is 30, then what would be 50% of the difference between the third and second numbers?
Option 1: 40
Option 2: 50
Option 3: 30
Option 4: 45
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Correct Answer: 50
Solution : Given that the ratio of the three numbers is 6 : 5 : 9. Let the three numbers be 6a, 5a, and 9a respectively. We know that 20% of the first number is 30. ⇒ $\frac{20}{100}$ × 6a = 30 ⇒ a = 25 The second number is 5a = 5 × 25 = 125 The third number is 9a = 9 × 25 = 225 The difference between the third and second numbers = 225 – 125 = 100 Finally, 50% of this difference = $\frac{50}{100}$ × 100 = 50 Hence, the correct answer is 50.
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