What number should be subtracted from each of the number

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What number should be subtracted from each of the number 54, 71, 75 and 99 so that the remainders may be proportional ?

1. 1
2. 2
3. 3
4. 6

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