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In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?
- a)12 days
- b)10 days
- c)8 days
- d)6 days
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a fort there was sufficient food for 200 soldiers for 31 day. Afte...
Man x Day = Man. Day
200 x 31 = 6200
After 27 days
200 x 27 = 5400 Man. Day is finished Remaining = 800
Man Day = 800
80 Day = 800
Day = 10
Most Upvoted Answer
In a fort there was sufficient food for 200 soldiers for 31 day. Afte...
Given:
- Sufficient food for 200 soldiers for 31 days
- 120 soldiers left after 27 days
To find:
- Extra days for remaining soldiers
Solution:
Let the total amount of food be F.
As per the given question,
Food consumed by 200 soldiers in 27 days = F
Food consumed by 1 soldier in 27 days = F/200
Food consumed by 1 soldier in 1 day = F/200*27
Food consumed by 1 soldier in 31 days = F/200*27*31
Now, after 27 days, 120 soldiers left the fort.
So, the remaining soldiers = 200 - 120 = 80
Now, the remaining food is sufficient for only 200*4 = 800 soldier-days.
Let the extra days for remaining soldiers be x.
Food consumed by 80 soldiers in x days = F/200*27*x
Total food consumed by 200 soldiers in 27+x days = F - F/200*27*4 + F/200*27*x
As per the given question, this food is sufficient for 80 soldiers for x days.
So, F - F/200*27*4 + F/200*27*x = F/200*27*x*80
Solving this equation, we get x = 10.
Therefore, the extra days for remaining soldiers is 10.
Hence, option (B) is the correct answer.
- Sufficient food for 200 soldiers for 31 days
- 120 soldiers left after 27 days
To find:
- Extra days for remaining soldiers
Solution:
Let the total amount of food be F.
As per the given question,
Food consumed by 200 soldiers in 27 days = F
Food consumed by 1 soldier in 27 days = F/200
Food consumed by 1 soldier in 1 day = F/200*27
Food consumed by 1 soldier in 31 days = F/200*27*31
Now, after 27 days, 120 soldiers left the fort.
So, the remaining soldiers = 200 - 120 = 80
Now, the remaining food is sufficient for only 200*4 = 800 soldier-days.
Let the extra days for remaining soldiers be x.
Food consumed by 80 soldiers in x days = F/200*27*x
Total food consumed by 200 soldiers in 27+x days = F - F/200*27*4 + F/200*27*x
As per the given question, this food is sufficient for 80 soldiers for x days.
So, F - F/200*27*4 + F/200*27*x = F/200*27*x*80
Solving this equation, we get x = 10.
Therefore, the extra days for remaining soldiers is 10.
Hence, option (B) is the correct answer.
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In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer?
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In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer?.
In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer?.
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In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of In a fort there was sufficient food for 200 soldiers for 31 day. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?a)12 daysb)10 daysc)8 daysd)6 daysCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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