Ratio, Proportion
- 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
- 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
- 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+c) = 1 : 3 and c : (a+ b) = 5:7, then b : (a+c) is equal to
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a : (b+c) = 1: 3
⇒ b + c = 3 ⇒ b + c + 1 = 3 + 1 a 1 a 1 ⇒ a + b + c = 3 + 1 = 4 ..... (i) a 1 1
Similarly,a + b = 7 c 5 ⇒ a + b + c = 12 ..... (ii) c 5
On dividing (i) by (ii),c = 4 × 5 = 5 = k ..... (iii) a 12 3
From equation (i), b = 4k∴ b = 4k = 1: 2 a + c 3k + 5k Correct Option: A
a : (b+c) = 1: 3
⇒ b + c = 3 ⇒ b + c + 1 = 3 + 1 a 1 a 1 ⇒ a + b + c = 3 + 1 = 4 ..... (i) a 1 1
Similarly,a + b = 7 c 5 ⇒ a + b + c = 12 ..... (ii) c 5
On dividing (i) by (ii),c = 4 × 5 = 5 = k ..... (iii) a 12 3
From equation (i), b = 4k∴ b = 4k = 1: 2 a + c 3k + 5k
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If a : b = 2 : 1 , 9 3 b : c = 2 : 5 and 7 14 d : c = 7 : 3 then a : b : c : d is 10 5
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a : b = 2 : 1 = 2 : 3 9 3 b : c = 2 : 5 = 4 : 5 7 14 d : c = 7 : 3 = 7 : 6 10 5
⇒ c : d = 6 : 7
Thus,
= 16 : 24 : 30 : 35Correct Option: B
a : b = 2 : 1 = 2 : 3 9 3 b : c = 2 : 5 = 4 : 5 7 14 d : c = 7 : 3 = 7 : 6 10 5
⇒ c : d = 6 : 7
Thus,
= 16 : 24 : 30 : 35
