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Q.

If 45 students can consume a stock of food in 2 months, then for how many days will the same stock of food last for 27 students? 

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a

100 days

b

144 days

c

160 days

d

180 days

answer is A.

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Detailed Solution

Concept- Using the unit method of this question, with 30 days per month, find out how many days it takes for one student to eat the whole amount, and how many days it takes for 27 students to do the same. Given that 45 students can run out of food in two months, and  that one month can be thirty days, or two months.
Question ImageSo from here we can say that If 45 students can consume their share in 60 days Then one student consumes the same supply at Question ImageThis means that 27 students will take Question Image By continuing to solve
Question ImageHence, the correct answer is option 1) 100 days.
 
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