A garrison is provided with ration for 90 soldiers to last for 70 days. For how much more time would the whole ration last if 10 additional soldiers join them after 20 days?
Answers
Answer:
If the individual rations were reduced by 10%, the same amount of food would last 90 soldiers for 48 days.
Step-by-step explanation:
The rations for 72 soldiers last for 54 days
∴ Total ration in the garrison = 72 * 54 = 3888 ← 1 unit of ration for each soldier per day
Let the required no. of days be “x”.
It is given that the total ration remains the same for 90 soldiers but the individual ration is reduced by 10% i.e., now each soldier will get [1 – (10/100)] = 9/10th of 1 unit of ration.
Therefore, we can write the equation as,
90 * x * (9/10) = 3888 * 1
⇒ 90 * x * 9 = 3888 * 10
⇒ x = [3888 * 10] / [90 * 9]
⇒ x = 38880 / 810
⇒ x = 48 days
Thus, the same amount of food for 90 soldiers would last for 48 days, if the individual rations were reduced by 10%.
---------------------------------------------------------------------------------------