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A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate?
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- 58 days
- 50 days
- 45 days
- 67 days
Correct Option: B
Suppose the food will last for D days at same rate .
250 men had provisions for 40 days.
( 250 - 50 ) men had provisions for D days.
Less men, More days ( Indirect Proportion )
we can write as :-
∴ 200 : 250 :: 40 : D ⇔ (200 × D ) =( 250 × 40 )
⇔ ( 250 × 40 ) /200 = 50
Therefore , 50 days is required answer .
