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RenB
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A garrison of 3300 men had provisions for 32 days, when given at the r[#permalink]21 Jul 2024, 05:17
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A
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E
Difficulty:
75%(hard)
Question Stats:
39%(03:17)correct61%(02:02) wrongbased on18sessions
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A garrison of 3300 men had provisions for 32 days, when given at the rate of 850 ounces per head. At the end of 7 days, a reinforcement arrives, and it was found that the provisions will last for 17 days, when given at the rate of 825 ounces per head. What is the strength of the reinforcement?
A. 1700
B. 2500
C. 5000
D. 5500
E. 6000
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Natashaairan
Intern
Joined: 12 May 2024
Posts: 18
Location: India
Re: A garrison of 3300 men had provisions for 32 days, when given at the r[#permalink]21 Jul 2024, 23:38
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3300*25*850= (3300+ x)*17*825
3300*25*34 =(3300+x)*17*33
100*25*2=3300+ x
X= 1700
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tgsankar10
Manager
Joined: 27 Mar 2024
Posts: 79
Location: India
Re: A garrison of 3300 men had provisions for 32 days, when given at the r[#permalink]22 Jul 2024, 00:19
Total ounces of provisions available \(= 3300*850*32\)
Remaining provisions available at the end of 7 days \(=3300*850*25\)
Provisions available for garrison including reinforcements \(=(3300+R)*825*17\)
Remaining provisions available at the end of 7 days = Provisions available for garrison including reinforcements
\(3300*850*25=(3300+R)*825*17\)
\(3300+R=\frac{3300*850*25}{825*17}\)
\(R=5000-3300\)
\(R=1700\)
Answer is A
gmatclubot
Re: A garrison of 3300 men had provisions for 32 days, when given at the r[#permalink]
22 Jul 2024, 00:19