Ratio and Proportion — Important Questions
Maharashtra Board · Class 9 · Mathematics
58 important questions from Ratio and Proportion for Maharashtra Board Class 9 Mathematics, with answers. Includes multiple choice and multiple correct.
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Important Questions from Ratio and Proportion
Which of the following ratios are equivalent to 6:9?
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2:3, 4:6, 12:18
6:9 = 2:3 (dividing by 3). Multiplying 2:3 by 2 gives 4:6, by 6 gives 12:18. But 8:10 = 4:5 ≠ 2:3.
Which properties of equal ratios are correctly stated?
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If a/b = c/d, then b/a = d/c (Invertendo), If a/b = c/d, then a/c = b/d (Alternando), If a/b = c/d, then (a+b)/b = (c+d)/d (Componendo)
First three are correct properties. The fourth should be (a-b)/b = (c-d)/d for dividendo, not (a-b)/a = (c-d)/c.
The ages of Ravi and Sita are in the ratio 4:5. After 6 years, their ages will be in the ratio 5:6. Find Ravi's current age.
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24 years
Let current ages be 4k and 5k. After 6 years: (4k+6)/(5k+6) = 5/6. Cross multiply: 6(4k+6) = 5(5k+6). 24k + 36 = 25k + 30. k = 6. Ravi's age = 4k = 24 years.
If x/3 = y/4 = z/5 and x + y + z = 48, find the value of y.
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16
Let x/3 = y/4 = z/5 = k. Then x = 3k, y = 4k, z = 5k. Sum: 3k + 4k + 5k = 12k = 48. So k = 4. Therefore y = 4k = 16.
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