Ratio, Proportion
- What number should be subtracted from each of the number 54, 71, 75 and 99 so that the remainders may be proportional ?
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Let the required number be N,
From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)Correct Option: C
Let the required number be N,
From question, (54 - N) / (71 - N) = (75 - N) / (99 - N)
⇒ (54 - N) x (99 - N) = (75 - N) x (71 - N)
⇒ N2 - 153N + 5346 = N2 - 146N + 5325
⇒ 7N = 21
∴ N = 3
- What number should be added to each one of 6, 14, 18 and 38 to make them equally proportionate ?
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Let the number be N,
From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)Correct Option: B
Let the number be N,
From question, (6 + N) / (14 + N) = (18 + N) / (38 + N)
⇒ (6 + N) x (38 + N ) = (18 + N ) x (14 + N )
⇒ N2 + 44N + 228 = N2 + 32N + 252
⇒ 12N = 24
∴ N = 2
- A fraction bears the same ratio to 1/27 as 3/7 does to 5/9. The fraction is ?
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From question, N : 1/27 = 3/7 : 5/9
⇒ 5/9 x N = 1/27 x 3/7Correct Option: B
From question, N : 1/27 = 3/7 : 5/9
⇒ 5/9 x N = 1/27 x 3/7
⇒ 5/9 x N = 1/63
∴ N = (1/63) x (9/5) = 1/35
- What must be added to each term of the ratio 7 : 13 so that the ratio becomes 2 : 3 ?
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∵ (7 + N) / (13 + N) = 2/3
⇒ 3(7 +N) = 2(13 + N)Correct Option: D
∵ (7 + N) / (13 + N) = 2/3
⇒ 3(7 +N) = 2(13 + N)
∴ N = 5
- In a ratio which is equal to 5 : 8. If the antecedent is 40 then consequent is ?
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∵ 5 : 8 : : 40 : N
N = (40 x 8) / 5Correct Option: B
∵ 5 : 8 : : 40 : N
N = (40 x 8) / 5
∴ consequent N = 64
