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40 vote

Three persons A, B, C rent the grazing of the park for Rs 570. A puts 126 oxen in the park for 3 months, B puts in 162 oxen for 5 months and C puts in 216 oxen in 4 months. What part of rent should B pay?

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Three persons A, B, C rent the grazing of the park for Rs 570. A puts 126 oxen in the park for 3 months, B puts in 162 oxen for 5 months and C puts in 216 oxen in 4 months. What part of rent should B pay?
1). 250
2). 225
3). 200
4). 100


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1 answers

29 vote
Answered by on | Votes 29 |

Given, A puts 126 oxen in the park for 3 months, B puts in 162 oxen for 5 months and C puts in 216 oxen in 4 months.

∴ For A, usage = 126 × 3 = 378

For B, usage = 162 × 5 = 810

For C, usage = 216 × 4 = 864

Ratio of A : B :C = 384 : 810 : 864

If the total rent is 570, rent paid by B $(= \;\frac{{810}}{{378\; + \;810\; + 864\;}} \times 570\;)$

⇒ Rent paid by B = $(\frac{{810}}{{\;2052\;}} \times 570)$

⇒ Rent paid by B = 225
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