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Question

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 : 2 and 1 : 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

It will cost ₹1,200 to feed 10 cows for 20 days.

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