Question

Mark (✓) against the correct answer
A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for

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

Answer 1

Number of days for which 500 men have enough food = 24
Number of days for which 1 man has enough food = 24$\times$ 500 [less men, more food]
Number of days for which 800 men have enough food = $\frac{24\times 500}{800}$ = 15 [more men, less food]
Hence, the food will last for 15 days after the reinforcement of 300 men.

Thus, the correct option is (d).