In a fort there was sufficient food 200 soldiers 31 days- After 27 days 120 soldiers left the fort- For how many extra days will the rest of the food last remaining soldiers -10 days12 days6 days8 days

Question

In a fort there was sufficient food 200 soldiers 31 days- After 27 days 120 soldiers left the fort- For how many extra days will the rest of the food last remaining soldiers -10  days12 days6 days8 days

Toppr Admin · Accepted Answer

Give-Total Soldiers - 200Food for them - 31 daysSo- Quantity of food - 200 -31 - 6200-xA0- man-daysTill 27 days- quantity consumed - 27 -200 - 5400 man-daysRest quantity - 6200 - 5400 - 800 man-daysRemaining soldiers - 200 - 120 - 80Let remaining food will sufficient for x daysNow-5400 - 80 x - 620080 x - 800x - 10 days

In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for remaining soldiers ?10 days12 days6 days8 days

In a fort there was sufficient food for $200$ soldiers for $31$ days. After $27$ days $120$ soldiers left the fort. For how many extra days will the rest of the food last for remaining soldiers ?
$10$ days
$12$ days
$6$ days
$8$ days