Ratio, Proportion
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If 2 of A = 75% of B = 0.6 of C, then A : B : C is 3
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According to the question,
A × 2 = B × 75 = C × 6 3 100 10 ⇒ A × 2 = B × 3 = C × 3 3 4 5 Now, A × 2 = B × 3 3 4 ⇒ A = 3 × 3 = 9 ⇒ A : B = 9 : 8 B 4 2 8 and B × 3 = C × 3 4 5 ⇒ B = 3 × 4 = 4 = 8 C 5 3 5 10
= B : C = 8 : 10
∴ A : B : C = 9 : 8 : 10Correct Option: D
According to the question,
A × 2 = B × 75 = C × 6 3 100 10 ⇒ A × 2 = B × 3 = C × 3 3 4 5 Now, A × 2 = B × 3 3 4 ⇒ A = 3 × 3 = 9 ⇒ A : B = 9 : 8 B 4 2 8 and B × 3 = C × 3 4 5 ⇒ B = 3 × 4 = 4 = 8 C 5 3 5 10
= B : C = 8 : 10
∴ A : B : C = 9 : 8 : 10
- 33,630 are divided among A, B and C in such a manner that the ratio of the amount of A to that of B is 3 : 7 and the ratio of the amount of B to that of C is 6 : 5. The amount of money received by B is
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A : B = 3 : 7
B : C = 6 : 5
A : B : C = 3×6 : 7×6 : 7×5
= 18 : 42 : 35
Sum of the ratios
= 18 + 42 + 35 = 95
∴ B’s share= ₹ 
42 × 33630 
= ₹ 14868 95 Correct Option: A
A : B = 3 : 7
B : C = 6 : 5
A : B : C = 3×6 : 7×6 : 7×5
= 18 : 42 : 35
Sum of the ratios
= 18 + 42 + 35 = 95
∴ B’s share= ₹ 42 × 33630 = ₹ 14868 95
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If A = 1 B and B = 1 of C, then A : B : C is : 4 2
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A = 1 B 4
⇒ A : B = 1 : 4
B : C = 1 : 2 = 4 : 8
∴ A : B : C = 1:4: 8
Second Method :
A : B= 1 : 4, B : C = 1 : 2
A : B : C= 1 × 1 : 4 × 1 : 4 × 2
= 1 : 4 : 8Correct Option: C
A = 1 B 4
⇒ A : B = 1 : 4
B : C = 1 : 2 = 4 : 8
∴ A : B : C = 1:4: 8
Second Method :
A : B= 1 : 4, B : C = 1 : 2
A : B : C= 1 × 1 : 4 × 1 : 4 × 2
= 1 : 4 : 8
- If 2A=3B = 4C, then A: B: C is :
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2A = 3B = 4C
⇒ 2A = 3B = 4C 12 12 12 ⇒ A = B = C 6 4 3
⇒ A : B : C = 6 : 4 : 3Correct Option: C
2A = 3B = 4C
⇒ 2A = 3B = 4C 12 12 12 ⇒ A = B = C 6 4 3
⇒ A : B : C = 6 : 4 : 3
- If x : y = 2 : 5, then (5x + 3y) : (5x – 3y) is equal to
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x = 2 (Given) y 5 ∴ 5x + 3y 5x − 3y = 5 x + 3 y 5 x − 3 y
(Dividing numerator and denominator by y)= 5 × 2 + 3 5 5 × 2 − 3 5 = 2 + 3 = −5 2 − 3
Second Method :Marks of Q = n × R m
(Where m = 2, n = 5, R = 120)= 5 × 120 = 300 2 Correct Option: D
x = 2 (Given) y 5 ∴ 5x + 3y 5x − 3y = 5 x + 3 y 5 x − 3 y
(Dividing numerator and denominator by y)= 5 × 2 + 3 5 5 × 2 − 3 5 = 2 + 3 = −5 2 − 3
Second Method :Marks of Q = n × R m
(Where m = 2, n = 5, R = 120)= 5 × 120 = 300 2
