A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head. How, many more men can it feed?
a.1540 men
b.1250 men
c.1700 men
d.250 men
Answers
Answer:
1700 men
Step-by-step explanation:
A garrison of 3300 men has provisions for 32 days, when given at a rate of 850 grams per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 8 days less, when given at the rate of 825 grams per head
Total food available = 3300 * 32 * 850
Food consumed in 7 days = 3300 * 7 * 850
Food remained after 7 days = 3300 * 32 * 850 - 3300 * 7 * 850
= 3300 * 25 * 850
Remaining days = 32 - 7 = 25
Food will survive now 8 days less
so remaining Days = 25 - 8 = 17
Let say Reinforcement of x people came
so total people = (3300 + x)
Requirement for (3300 + x) for 17 days per 825 grams
(3300 + x) * 17 * 825 = 3300 * 25 * 850
=> (3300 + x) = 3300 * 25 * 850 / (17 * 825)
=> (3300 + x) = 3300 * 1 * 50 / 33
=> 3300 + x = 5000
=> x = 1700
1700 more men can be feeded