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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?
- A250
- B225
- C200
- D100
Answer not set
Discussion 1
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CCommunity
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
∴ 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