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A, B and C rent a pasture. A puts 5 oxen for 4 months, B puts 8 oxen for 5 months and C puts 10 oxen for 3 months for grazing. If the rent of the pasture is Rs. 180, then how much must B pay as his share of rent?  

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  1. Rs. 75
  2. Rs. 70
  3. Rs. 80
  4. Rs. 72

Answer (Detailed Solution Below)

Option 3 : Rs. 80
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Detailed Solution

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Given:

A puts 5 oxen for 4 months

B puts 8 oxen for 5 months 

C puts 10 oxen for 3 months

The rent of the pasture = Rs. 180

Calculation:

According to question

A  : B : C = (5 × 4) : (8 × 5) : (10 × 3)

A  : B : C = 20 : 40 : 30 = 2 : 4 : 3

Sum of ratio (2 + 4 + 3) = 9

B pay as his share of rent = (4/9) × 180 = Rs.80

∴ Correct answer is  Rs.80.

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