Ratio, Proportion
- If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total
number of runs scored by A, B and C is 342, the runs scored by each would be respectively
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x : y = 3 : 2 = 9 : 6
y : z = 3 : 2 = 6 : 4
∴ x : y : z = 9 : 6 : 4
∴ 9a + 6a + 4a = 342
⇒ 19a = 342
⇒ a = 342 ÷ 19 = 18
∴ A ⇒ 18 × 9 = 162
B ⇒ 18 × 6 = 108
C ⇒ 18 × 4 = 72Correct Option: B
x : y = 3 : 2 = 9 : 6
y : z = 3 : 2 = 6 : 4
∴ x : y : z = 9 : 6 : 4
∴ 9a + 6a + 4a = 342
⇒ 19a = 342
⇒ a = 342 ÷ 19 = 18
∴ A ⇒ 18 × 9 = 162
B ⇒ 18 × 6 = 108
C ⇒ 18 × 4 = 72
- If A : B = 3 : 4 and B : C = 6 : 5, then C : A is
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A = 3 , B = 6 B 4 C 5 ⇒ A × B = 3 × 6 = 9 B C 4 5 10 ⇒ A = 9 ⇒ C = 10 C 10 A 9
Second Method :
A : C = xp : yq
= 3 × 6 : 4 × 5
= 18 : 20
A : C = 9 : 10
∴ C : A = 10 : 9Correct Option: A
A = 3 , B = 6 B 4 C 5 ⇒ A × B = 3 × 6 = 9 B C 4 5 10 ⇒ A = 9 ⇒ C = 10 C 10 A 9
Second Method :
A : C = xp : yq
= 3 × 6 : 4 × 5
= 18 : 20
A : C = 9 : 10
∴ C : A = 10 : 9
- Find two mean proportionals between 2 and 54.
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2 = y x 54
⇒ xy = 2 × 54
= 6 × 18Correct Option: A
2 = y x 54
⇒ xy = 2 × 54
= 6 × 18
- Which of the following represents a correct proportion ?
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12 = 16 9 12
⇒ 12 × 12 = 9 × 16
⇒ 144 = 144.Correct Option: B
12 = 16 9 12
⇒ 12 × 12 = 9 × 16
⇒ 144 = 144.
- If 18, x and 50 are in continued proportion, then the value of x is
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18 = x x 50
⇒ x2 = 18 × 50 = 900
⇒ x = √900 = 30Correct Option: A
18 = x x 50
⇒ x2 = 18 × 50 = 900
⇒ x = √900 = 30
