Ratio, Proportion
- If 0.8 x A = 0.09 x B, then find A : B.
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Given that 0.8 x A = 0.09 x B
⇒ A/B = 0.09/0.8 = 9/80Correct Option: A
Given that 0.8 x A = 0.09 x B
⇒ A/B = 0.09/0.8 = 9/80
∴ A : B = 9 :80
- If 1/x : 1/y : 1/z = 2 : 3 : 5, then determine x : y : z .
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Let 1/x = 2K, 1/y = 3K and 1/z = 5K
Then, x = K/2, Y = K/3 and z = K/5
∴ x : y : z = K/2 : K/3 : K/4Correct Option: D
Let 1/x = 2K, 1/y = 3K and 1/z = 5K
Then, x = K/2, Y = K/3 and z = K/5
∴ x : y : z = K/2 : K/3 : K/4
= 1/2 : 1/3 : 1/5
= 15 : 10 : 6
- If a/3 = b/8, then ( a + 3 ) : ( b + 8 ) is equal to ?
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Let a/3 = b/8 = K
Then, a = 3K, b = 8K
∴ (a + 3) / (b + 8) = (3K + 3) / (8K + 8)Correct Option: A
Let a/3 = b/8 = K
Then, a = 3K, b = 8K
∴ (a + 3) / (b + 8) = (3K + 3) / (8K + 8)
= [3( K + 1)] / [8(K+1)] = 3/8
∴ ( a + 3 ) : (b + 8) = 3 : 8
- If 1/2 of A = 2/5 of B = 1/3 of C, then A : B : C is equal to ?
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1/2 of A = 2/5 of B = 1/3 of C
1/2 x A = 2/5 x B = 1/3 x C
Let A/2 = 2B/5 = C/3 = K
Then, A = 2K, B = 5K/2, C = 3KCorrect Option: A
1/2 of A = 2/5 of B = 1/3 of C
1/2 x A = 2/5 x B = 1/3 x C
Let A/2 = 2B/5 = C/3 = K
Then, A = 2K, B = 5K/2, C = 3K
⇒ A: B : C = 2k : 5k/2 : 3k
∴ A: B : C = 4 : 5 : 6
- If xy =36, then which of the following is correct?
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xy =36
⇒ xy = 4 x 9,
⇒ x/9 = 4/yCorrect Option: A
xy =36
⇒ xy = 4 x 9,
⇒ x/9 = 4/y
∴ x : 9 = 4 : y