Question

There is sufficient food for $400$ persons for $31$ days. After $28$ days $280$ persons leave the place. For how many days will the remaining food last for the remaining persons?

• A. $9$
• B. $5$
• C. $15$
• D. $10$

Answer 1

Answer: (D)

The correct option is D $10$
Total food for 400 person for 31 days = $400\times 31=12400$

Food consume in 28 days = $28\times 400=11200$

Remaining food = $12400-11200=1200$

280 person leave the place

so remaining person = 400 - 280 = 120

Hence the no of days will the remaining food last for the remaining person

= $\frac{1200}{120}=10days$