Three persons A,B and C rent the grazing of the park for Rs 570. A put 126…
2023
Three persons A,B and C rent the grazing of the park for Rs 570. A put 126 oxen in the park for 3 months, B puts in 162 oxen in the park for 5 months and C puts in 216 oxen in the park for 4 months. What part of rent should B pay?
- A.
200
- B.
216.16
- C.
225
- D.
250
Attempted by 14 students.
Show answer & explanation
Correct answer: C
Key idea: Rent is divided in proportion to (number of oxen) × (months grazed).
Person A: 126 oxen × 3 months = 378
Person B: 162 oxen × 5 months = 810
Person C: 216 oxen × 4 months = 864
Total contribution = 378 + 810 + 864 = 2052.
B's share of the rent = 810/2052 of the total Rs 570.
Simplify the fraction: 810/2052 = 15/38. Then 15/38 × 570 = (570/38) × 15 = 15 × 15 = 225.
Final answer: Person B should pay Rs 225.