Question

If 45 soldiers consume the given food in 60 days, then the same food can be consumed by 36
soldiers in

Answer 1

Answer:

By using Proportion method we have,

45:60::36:x

This implies that,

x = 60*36/45

x = 48 (answer)

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Answer 2

Given: 45 soldiers can consume the given food in 60 days

To find: In how many days 36 soldiers can consume the same food

Let: 36 soldiers can consume the food in $x$ days

Solution: According to the given question and assumption made,

45 soldiers take 60 days to consume the food and,

36 soldiers take $x$ days to consume the food

36 soldiers will take more than 60 days to consume the food.

So, it is a case of inverse proportion.

∴ $45*60 = 36*x$

⇒ $36x = 2700$

⇒ $x = \frac{2700}{36} = 75$

Hence, 36 soldiers can consume the food in 75 days.