Latest CAT Aptitude Question SOLUTION: A man can feed himself for a certain number of days with Rs.1200. If his cost per day increases by Rs.20, he can feed himself for 30 days less. Find the number of days he used to f

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A man can feed himself for a certain number of days with Rs.1200. If his cost per day increases by Rs.20, he can feed himself for 30 days less. Find the number of days he used to feed himself earlier.

Asked In CAT Devendra Marghade (12 years ago)

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snair  (12 years ago)

Ans :40

Let the number of days with cost per day increasing be n. Then, the number of days with cost per day constant will be n+30.

Let x be cost every day.

(n+30)*x = 1200

With increase in cost the series becomes x, x+20, x+40..... n terms

Thus the sum = (n/2)*(2x+(n-1)*20) = 1200
=> (n^3) + 29*(n^2) -30(n) -3600 =0

Solving the above equation n=10

Thus number of days he used to feed himself earlier was (n+30) = 40

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Huzefa Chikhly  (11 years ago)

let x= no. of day
y= cost per day

xy=1200 ...............eq(1)
(x-30)(y+20)=1200.......eq(2)

solving 2 eq we get x=60

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