Mathematics question
1500 soldiers in a fort have provision for 48 days.After 13 days few soldiers join them and then the food lasts for 25 days.How many soldiers join ?
Solve by ratio and proportion method.
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1500 soldiers………………………………………Breads 48 days.
After 13 day …………………………………………..Breads 35
days……………………Total soldiers 1500+x .
For 1500 +x…………………………………………….Breads last 25 days .
if 1 soldier eat 1 Bread in 1 day 1500 eat 1500 rotis in 1 day and for 48 days 1500 × 48 = 72000 Breads provided till 13 days there are only 1500 soldiers that means 1500 × 13 = 19500.
Bread remains after 13 days is 52500 That means the remaining Bread is for (1500 + x) soldiers .
According to the problem,52500/1500 + x = 25.52500 = 37500 + 25x.25x = 15000.x = 600600 Soldiers joined.
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