Ratio, Proportion
- There are three numbers A, B, C such that twice A is equal to thrice B and four times B is equal to five times C. Then the ratio between A and C is
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As given,
2A = 3B
⇒ A : B = 3 : 2
and, 4B = 5C
⇒ B : C = 5 : 4
∴ A : B : C
= 3 × 5 : 2 × 5 : 2 × 4
= 15 : 10 : 8
∴ A : C = 15 : 8
Second Method :
Here, 2A = 3B i,eA : B = 3 : 2
4B = 5C i,e B : C = 5 : 4
A : C = xp : yq
= 3 × 5 : 2 × 4
= 15 : 8Correct Option: C
As given,
2A = 3B
⇒ A : B = 3 : 2
and, 4B = 5C
⇒ B : C = 5 : 4
∴ A : B : C
= 3 × 5 : 2 × 5 : 2 × 4
= 15 : 10 : 8
∴ A : C = 15 : 8
Second Method :
Here, 2A = 3B i,eA : B = 3 : 2
4B = 5C i,e B : C = 5 : 4
A : C = xp : yq
= 3 × 5 : 2 × 4
= 15 : 8
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If x : y = 3 : 4, then the value of 5x − 2y = 7x + 2y
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x = 3 (Given) y 4 ∴ 5x − 2y 7x + 2y = 5 x − 2 y 7 x + 2 y = 5 × 3 − 2 4 7 × 3 + 2 4 = 15 − 8 4 21 + 8 4 = 7 29 Correct Option: C
x = 3 (Given) y 4 ∴ 5x − 2y 7x + 2y = 5 x − 2 y 7 x + 2 y = 5 × 3 − 2 4 7 × 3 + 2 4 = 15 − 8 4 21 + 8 4 = 7 29
- The third proportional to 0.8 and 0.2 is :
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If the third proportional be x,then
0.8 : 0.2 : : 0.2 : x
⇒ 0.8 × x = 0.2 × 0.2⇒ x = 0.2 × 0.2 0.8 = 4 = 0.05 80
Second Method :
Third proportion= b2 = (0.2)2 a 0.8 = 0.04 = 0.05 0.8 Correct Option: A
If the third proportional be x,then
0.8 : 0.2 : : 0.2 : x
⇒ 0.8 × x = 0.2 × 0.2⇒ x = 0.2 × 0.2 0.8 = 4 = 0.05 80
Second Method :
Third proportion= b2 = (0.2)2 a 0.8 = 0.04 = 0.05 0.8
- If A : B = 4 : 9 and A : C = 2 : 3, then (A + B) : (A + C) is
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A : B = 4 : 9
A : C = 2 : 3 = 4 : 6∴ A + B = 4 + 9 = 13 A + C 4 + 6 10 Correct Option: C
A : B = 4 : 9
A : C = 2 : 3 = 4 : 6∴ A + B = 4 + 9 = 13 A + C 4 + 6 10
- Marks of two candidates P and Q are in the ratio of 2 : 5. If the marks of P is 120, marks of Q will be
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Marks of Q = 5 × 120 = 300 2 Correct Option: C
Marks of Q = 5 × 120 = 300 2