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 ₹1,200Here, 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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