A hostel had provisions for 250 men for 32 days. If 50 men left the hostel, how long will the food last at the same rate?
Choose the correct choice from the following choices:
A) 30
B) 40
C) 50
D) 60
E) 65

Rationale: "a hostel had provisions for 250 men for 32 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 32 250 × 32 = 200 x 5 × 32 = 4 x x = 5 × 8 = 40 answer b"
Answer: B