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A town with a population of 1000 has provision for 30days, after 10 days 600 more men added, how long will the food last at the same rate ?
- a)12 days
- b)14 ½ days
- c)12 ½ days
- d)15 days
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A town with a population of 1000 has provision for 30days, after 10 da...
Answer – C.12 ½ days Explanation : 1000*20/1600 = 12 1/2 days
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A town with a population of 1000 has provision for 30days, after 10 da...
Daysc)15 daysd)18 days
Let's first find out how much food was available for the initial population of 1000 for 30 days.
Let's assume that each person needs one unit of food per day.
So, for 1000 people for 30 days, the total units of food required would be:
1000 x 30 = 30,000 units
Now, after 10 days, 600 more men are added to the town. So, the total population becomes 1000 + 600 = 1600.
For 1600 people, the total units of food required for 30 days would be:
1600 x 30 = 48,000 units
However, we already used up some of the food in the first 10 days.
The total units of food used in the first 10 days for 1000 people would be:
1000 x 10 = 10,000 units
So, the remaining units of food for the initial population of 1000 for 20 days would be:
30,000 - 10,000 = 20,000 units
Now, we need to find out how long this remaining food will last for the increased population of 1600.
The daily requirement of food for 1600 people is:
1600 x 1 = 1600 units
So, the remaining food of 20,000 units will last for:
20,000 / 1600 = 12.5 days
Therefore, the answer is option A) 12 days.
Let's first find out how much food was available for the initial population of 1000 for 30 days.
Let's assume that each person needs one unit of food per day.
So, for 1000 people for 30 days, the total units of food required would be:
1000 x 30 = 30,000 units
Now, after 10 days, 600 more men are added to the town. So, the total population becomes 1000 + 600 = 1600.
For 1600 people, the total units of food required for 30 days would be:
1600 x 30 = 48,000 units
However, we already used up some of the food in the first 10 days.
The total units of food used in the first 10 days for 1000 people would be:
1000 x 10 = 10,000 units
So, the remaining units of food for the initial population of 1000 for 20 days would be:
30,000 - 10,000 = 20,000 units
Now, we need to find out how long this remaining food will last for the increased population of 1600.
The daily requirement of food for 1600 people is:
1600 x 1 = 1600 units
So, the remaining food of 20,000 units will last for:
20,000 / 1600 = 12.5 days
Therefore, the answer is option A) 12 days.
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