Question

Mark (✓) against the correct answer
A garrison of 500 men had provisions for 27 days. After 3 days, a reinforcement of 300 men arrived. The remaining food will now last for how many days?

(a) 15 days
(b) 16 days
(c) $17\frac{1}{2}$ days
(d) 18 days

Answer 1

500 men had enough food for 24 days.
1 man had enough food for 24$\times$500 days. [Less men, more days]
800 men had enough food for $\frac{24\times 500}{800}$ = 15 days [More men , less days]

Hence, the food will now last for 15 days after the reinforcement of 300 men.

The correct option is (a).