1)

A garrison of 3000 men has provision for 30 days. If after 10 days they are reinforced by 1000 men ,how long will the provision last?


A) 10 days

B) 15 days

C) 20 days

D) 11 days

E) 17 days

Answer:

Option B

Explanation:

Given that garrison had provision for 3000 men for 30 days

Hence, after 10 days, the remaining food is sufficient for 3000 persons for 20 days

Remaining persons after 10 days $=3000+ 1000$ $= 4000$

Assume that after 10 days,the remaining food is sufficient for $4000$ persons for $x$ days

More men, Less days (Indirect Proportion)

$\Rightarrow Men\quad 3000:4000\}::x:20$

$\Rightarrow 3000\times 20$ $=4000x$

$\Rightarrow x=\frac{3000\times 20}{4000}$ = 15 days.