‘x’ number of men can finish a piece of work in 30 days.

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‘x’ number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is

1. 6
2. 10
3. 12
4. 15

Correct Option: C

x + 6 : x : : 30 : 20

⇒	x + 6	=	30	=	3
	x		20		2

⇒ 2x + 12 = 3x
⇒ 3x – 2x = 12
⇒ x = 12
Aliter : Using Rule 1,
Here, M₁ = x, D₁ = 30
M₂ = x + 6, D₂ = 20
M₁D₁ = M₂D₂
x × 30 = (x + 6) × 20
3x = 2 x + 12
x = 12