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Partnership Pasture Rent Share

CMAT 2022 · Quantitative Techniques & Data Interpretation · Medium · Partnership

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Four sheep farmers rented a pasture. Anil grazed his 24 sheep for 3 months, Bimal 10 sheep for 5 months, Champak 35 sheep for 4 months and Damodar 21 sheep for 3 months. If Anil's share of rent is Rs. 720, find the total rent of the pasture:

  1. A.

    Rs. 3,200

  2. B.

    Rs. 3,250

  3. C.

    Rs. 2,300

  4. D.

    Rs. 4,000

Answer

B

Explanation

The ratio of rent shares depends on sheep-months: Anil : Bimal : Champak : Damodar =(24×3):(10×5):(35×4):(21×3)= (24 \times 3) : (10 \times 5) : (35 \times 4) : (21 \times 3) =72:50:140:63= 72 : 50 : 140 : 63. Total ratio units =72+50+140+63=325= 72 + 50 + 140 + 63 = 325. Anil's share =72325×Total Rent=720= \frac{72}{325} \times \text{Total Rent} = 720. \text{Total Rent} =720×32572=3250= 720 \times \frac{325}{72} = 3250.

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