Three farmers A, B and C rent a grazing land for grazing their goats for Rs.3609. A puts 112 goats for 2 months, B puts 102 goats for 3 months and C puts 68 goats for 4 months. What part of the rent should C pay?

Three farmers A, B and C rent a grazing land for grazing their goats for Rs.3609. A puts 112 goats for 2 months, B puts 102 goats for 3 months and C puts 68 goats for 4 months. What part of the rent should C pay? Correct Answer 1224

GIVEN:

A puts 112 goats for 2 months, B puts 102 goats for 3 months and C puts 68 goats for 4 months.

Total amount paid = Rs. 3609

CONCEPT:
Basic concept of Profit and Loss.

FORMULA USED:

Ratio of profit sharing = Ratio of

CALCULATION:

Rent is to be distributed among A, B and C in the Ratio = 112 × 2 : 102 × 3 : 68 × 4

= 224 : 306 : 272

= 112 : 153 : 136

∴ Rent to be paid by C = 136/(112 + 153 + 136) × 3609

= 136/401 × 3609

= 136 × 9

= Rs. 1224

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