
The stock of grain in a government warehouse lasts 30 days for 4000 people . How many days will it last for 6000 people ?
Answer
502.5k+ views
Hint:- Find out the total stock in grain assuming the amount consumed by 1 person in 1 day. Use the concept of unitary method to find the total stock consumed by 4000 and 6000 people separately.
Complete step-by-step answer:
It has been given that 4000 people consume the stock of grain in a government warehouse in 30 days.
We will assume that 1 person can consume food in 1 day
We can rewrite this as
1 person in 1 day consumes food
Thus, 4000 people in 1 day consumes food
Again, 4000 people in 30 days consumes food
From the above, we get the total food to be equal to
Now let us assume that 6000 people consume the total food in days
Again,
1 person in 1 day consumes food
Thus, 6000 people in 1 day consumes food
Thus, 6000 people in days can consume food
From the above, we get the total food to be equal to
Since the total food in the stock remains the same, we get
Solving the above equation, we get
Thus, 6000 people can consume the whole stock in 20 days.
Note:- In time and work we calculated and found the time required to complete a piece of work and also find work done in a given period of time. We know the amount of work done by a person varies directly with the time taken by him to complete the work.
Complete step-by-step answer:
It has been given that 4000 people consume the stock of grain in a government warehouse in 30 days.
We will assume that 1 person can consume
We can rewrite this as
1 person in 1 day consumes
Thus, 4000 people in 1 day consumes
Again, 4000 people in 30 days consumes
From the above, we get the total food to be equal to
Now let us assume that 6000 people consume the total food in
Again,
1 person in 1 day consumes
Thus, 6000 people in 1 day consumes
Thus, 6000 people in
From the above, we get the total food to be equal to
Since the total food in the stock remains the same, we get
Solving the above equation, we get
Thus, 6000 people can consume the whole stock in 20 days.
Note:- In time and work we calculated and found the time required to complete a piece of work and also find work done in a given period of time. We know the amount of work done by a person varies directly with the time taken by him to complete the work.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

How many crores make 10 million class 7 maths CBSE

Fill in the blanks with appropriate modals a Drivers class 7 english CBSE

The southernmost point of the Indian mainland is known class 7 social studies CBSE

What were the major teachings of Baba Guru Nanak class 7 social science CBSE

Convert 200 Million dollars in rupees class 7 maths CBSE
