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Bunuel
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A garrison of 2000 men has provision of ration for 66 days. At the end Thu Jan 21, 2021 8:45 am
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65% (hard)

Question Stats:

59% (02:18) correct 41% (02:42) wrong based on 184 sessions

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A garrison of 2000 men has provision of ration for 66 days. At the end of a fortnight, reinforcement arrives and it is found that ration will last only for 20 days more. The strength of the reinforcement is

(A) 2000
(B) 2200
(C) 2600
(D) 3200
(E) 3600
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D
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A garrison of 2000 men has provision of ration for 66 days. At the end Thu Jan 21, 2021 9:06 am
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Bunuel
A garrison of 2000 men has provision of ration for 66 days. At the end of a fortnight, reinforcement arrives and it is found that ration will last only for 20 days more. The strength of the reinforcement is

(A) 2000
(B) 2200
(C) 2600
(D) 3200
(E) 3600
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Let x be the amount of per day consumption of each man. Let y is the reinforcement. Assuming men in reinforcement also has same amount of daily consumption
Total consumption = 2000*x*66
Provision left after 14 days = 2000*x*66 - 2000*x*14 = 2000*x*52
This would be consumed by total men including reinforcement.
Thus,
2000*x*52 = (2000+y)*x*20
2000*32 = 20y
y = 3200

Answer D.
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A garrison of 2000 men has provision of ration for 66 days. At the end Sun Jan 24, 2021 5:56 am
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Bunuel
A garrison of 2000 men has provision of ration for 66 days. At the end of a fortnight, reinforcement arrives and it is found that ration will last only for 20 days more. The strength of the reinforcement is

(A) 2000
(B) 2200
(C) 2600
(D) 3200
(E) 3600
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Solution:

We can let the provisions be 66 x 2000 = 132,000 hamburgers. In other words, each person can have 1 hamburger per day. Since 14/66 = 7/33, then after 14 days (note: a fortnight is 2 weeks or 14 days), only 26/33 of the hamburgers are left. If we let the reinforcement be n men, we can create the equation:

(26/33 x 132,000) / (2000 + n) = 20

104,000 / (2000 + n) = 20

104,000 / 20 = 2000 + n

5200 = 2000 + n

3200 = n

Answer: D
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A garrison of 2000 men has provision of ration for 66 days. At the end Wed May 29, 2024 2:32 am
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unraveled

Bunuel
A garrison of 2000 men has provision of ration for 66 days. At the end of a fortnight, reinforcement arrives and it is found that ration will last only for 20 days more. The strength of the reinforcement is

(A) 2000
(B) 2200
(C) 2600
(D) 3200
(E) 3600
Let x be the amount of per day consumption of each man. Let y is the reinforcement. Assuming men in reinforcement also has same amount of daily consumption
Total consumption = 2000*x*66
Provision left after 14 days = 2000*x*66 - 2000*x*14 = 2000*x*52
This would be consumed by total men including reinforcement.
Thus,
2000*x*52 = (2000+y)*x*20
2000*32 = 20y
y = 3200

Answer D.
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­where did the " Provision left after 14 days " came from i dont think the question mention anything about it correct me if am wrong ?
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A garrison of 2000 men has provision of ration for 66 days. At the end Wed May 29, 2024 7:32 am
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RajibDhara

unraveled

Bunuel
A garrison of 2000 men has provision of ration for 66 days. At the end of a fortnight, reinforcement arrives and it is found that ration will last only for 20 days more. The strength of the reinforcement is

(A) 2000
(B) 2200
(C) 2600
(D) 3200
(E) 3600
Let x be the amount of per day consumption of each man. Let y is the reinforcement. Assuming men in reinforcement also has same amount of daily consumption
Total consumption = 2000*x*66
Provision left after 14 days = 2000*x*66 - 2000*x*14 = 2000*x*52
This would be consumed by total men including reinforcement.
Thus,
2000*x*52 = (2000+y)*x*20
2000*32 = 20y
y = 3200

Answer D.
­where did the " Provision left after 14 days " came from i dont think the question mention anything about it correct me if am wrong ?
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­A "fortnight" is a term used to describe a period of two weeks. It's commonly used in British English to denote a 14-day period.­
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A garrison of 2000 men has provision of ration for 66 days. At the end Sun Sep 28, 2025 2:50 am
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