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An army camp of 6600 men had provisions for 64 days, when given at the rate of 850 grams per head. At the end of 14 days, a troop arrives and it was found that the provisions will last 34 days more, when given 825 grams per head.What is the strength of new troop?
- a)2200
- b)2400
- c)2800
- d)3200
- e)3400 e) None of these
Correct answer is option 'E'. Can you explain this answer?
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An army camp of 6600 men had provisions for 64 days, when given at the...
Answer – e) 3400 Explanation : 6600*64*850 = 6600*14*850 + M*34*825
we get M = 10000 so new troops = 10000 – 6600 = 3400
we get M = 10000 so new troops = 10000 – 6600 = 3400
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An army camp of 6600 men had provisions for 64 days, when given at the...
Answer – e) 3400 Explanation : 6600*64*850 = 6600*14*850 + M*34*825
we get M = 10000 so new troops = 10000 – 6600 = 3400
we get M = 10000 so new troops = 10000 – 6600 = 3400
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An army camp of 6600 men had provisions for 64 days, when given at the...
Given data:
- Initially, there were 6600 men in the army camp and provisions for 64 days at the rate of 850 grams per head.
- After 14 days, a troop arrives and the provisions will last for 34 more days when given at the rate of 825 grams per head.
To find: The strength of the new troop.
Solution:
Let's assume that the strength of the new troop is x.
Initial provisions:
- Total provisions = 6600 * 850 * 64 grams
- The provisions are given at the rate of 850 grams per head for 6600 men.
- So, the total provisions = 6600 * 850 * 64 grams
- We can simplify this as 6600 * 54,400 grams.
Provisions after 14 days:
- The provisions have to last for 64 - 14 = 50 days.
- So, the total provisions required = 6600 * 850 * 50 grams
- We can simplify this as 6600 * 42,500 grams.
Provisions after the new troop arrives:
- After the new troop arrives, the provisions last for 34 more days.
- So, the total provisions required = (6600 + x) * 825 * 34 grams
- We can simplify this as (6600 + x) * 28,050 grams.
Equating the provisions:
- The initial provisions = The provisions after 14 days + The provisions after the new troop arrives
- 6600 * 54,400 = 6600 * 42,500 + (6600 + x) * 28,050
- Simplifying this, we get x = 3400.
Therefore, the strength of the new troop is 3400.
Answer: Option (e)
- Initially, there were 6600 men in the army camp and provisions for 64 days at the rate of 850 grams per head.
- After 14 days, a troop arrives and the provisions will last for 34 more days when given at the rate of 825 grams per head.
To find: The strength of the new troop.
Solution:
Let's assume that the strength of the new troop is x.
Initial provisions:
- Total provisions = 6600 * 850 * 64 grams
- The provisions are given at the rate of 850 grams per head for 6600 men.
- So, the total provisions = 6600 * 850 * 64 grams
- We can simplify this as 6600 * 54,400 grams.
Provisions after 14 days:
- The provisions have to last for 64 - 14 = 50 days.
- So, the total provisions required = 6600 * 850 * 50 grams
- We can simplify this as 6600 * 42,500 grams.
Provisions after the new troop arrives:
- After the new troop arrives, the provisions last for 34 more days.
- So, the total provisions required = (6600 + x) * 825 * 34 grams
- We can simplify this as (6600 + x) * 28,050 grams.
Equating the provisions:
- The initial provisions = The provisions after 14 days + The provisions after the new troop arrives
- 6600 * 54,400 = 6600 * 42,500 + (6600 + x) * 28,050
- Simplifying this, we get x = 3400.
Therefore, the strength of the new troop is 3400.
Answer: Option (e)
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An army camp of 6600 men had provisions for 64 days, when given at the rate of 850 grams per head. At the end of 14 days, a troop arrives and it was found that the provisions will last 34 days more, when given 825 grams per head.What is the strength of new troop?a)2200b)2400c)2800d)3200e)3400 e) None of theseCorrect answer is option 'E'. Can you explain this answer?
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