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90 persons consume 810kg of food in 27 days. In how many days will 60 persons consume 300kg of food?
Question



90 persons consume 810kg of food in 27 days. In how many days will 60 persons consume 300kg of food?

A.

12 days

B.

13 days

C.

15 days

D.

18 days

Correct option is C


Step 1: Calculate the daily consumption per person in the first scenario. Given: 90 persons consume 810 kg of food in 27 days. Daily consumption per person: Daily consumption per person = 810 / (90 x 27) = 0.3333 kg/day Step 2: Calculate the number of days for 60 persons to consume 300 kg of food. For 60 persons consuming 300 kg of food, we use the equation: Total consumption for 60 persons in d days = 60 x d x 0.3333 = 300 Solving for d: d = 300 / (60 x 0.3333) = 300 / 20 = 15 days Thus, 60 persons will consume 300 kg of food in 15 days.

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