Fodder costing ₹900 is needed for 15 cows for 10 days. The cost of fodder required for 10 cows for 20 days is .
A
₹1,000
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B
₹1,200
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C
₹1,400
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D
₹1,800
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Solution
The correct option is B ₹1,200 Here, the cost of fodder is directly proportional to the number of cows and directly proportional to the number of days.
Cost of fodder
Number of cows
Number of days
₹900
15
10
x
10
20
900:x
15:10 = 3:2
10:20 = 1:2
Cost of fodder ∝ Number of cows ⇒900:x=3:2 ...(i)
Cost of fodder ∝ Number of days ⇒900:x=1:2...(ii)
From (i) and (ii)
900 : x =compound ratio of 3:2and1:2 ⇒900:x=(3:2)×(1:2) ⇒900:x=(3×1):(2×2) ⇒900:x=(3:4)
∵ Product of means = Product of extremes ⇒x×3=900×4 ⇒x=₹1,200