Question

The stock of grain in government warehouse last 30 days for 4000 people. How many days will it last for 6000 people​

Answer 1

Answer:

$\large{\boxed{ \underline{ \rm{20 \: days}}}}$

Step-by-step explanation:

Given :

• The stock of grain in government warehouse last 30 days for 4000 people.

To Find

• In how many days will the stock of grain last for 6000 people?

Solution :

We know that, in 30 days the stock of grain lasts for 4000 people.

Here, we need to simply apply the concept of direct variation.

According to the Question,

Let's assume the number of days, last for 6000 people as 'x'

Now,

$\implies \rm \: 6000 \times x = 4000 \times 30 \\ \\ \\ \implies \rm \: x = \dfrac{4000 \times 30}{6000} \\ \\ \\ \implies \rm \: x = \cancel\dfrac{120000}{6000} \\ \\ \\ \implies{ \boxed{ \rm {20}}} \: \bigstar$

⠀_______________

Therefore, in 20 days, the stock of grain will last for 6000 people.

Answer 2

Let 1 person consume 'x' food in 1 day

1 person 1 day → x

4000 people 1 day →4000x

4000 people 30 days →4000x×30

Total food =4000x×30

Let no. of days be y

6000 people, 1 day →6000x

6000 people, y days →6000xy

Total food =6000xy

So 4000x×30=6000xy

y= 6000

4000×30

y=20days.