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1. In a barrack of soldiers there was stock of food for 190 days for 4000 soldiers. After 30 days 800 soldiers left the barrack. For how many days shall the left over food last for the remaining soldiers ?

A. 175 days

B. 200 days

C. 225 days

D. 250 days

Solution:

Let the remaining food last for x days
4000 soldiers had provision for 160 days
3200 soldiers had provision for x days
Less men, More days (Indirect proportion)

\begin{aligned} ∴ 3200 : 4000 :: 160 : x \\ \Leftrightarrow 3200 x = 4000 \times 160 \\ \Leftrightarrow x = \frac{(4000 \times 160)}{3200} \\ \Leftrightarrow x = 200 \end{aligned}

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