P, Q and R hire a meadow for ₹ 2920. P puts 10 cows

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P, Q and R hire a meadow for ₹ 2920. P puts 10 cows for 20 days, Q puts 30 cows for 8 days and R puts 16 cows for 9 days. Find the rent paid by R.

1. ₹ 735
2. ₹ 820
3. ₹ 575
4. ₹ 720
5. None of the above

Correct Option: D

Ratio of rents to be paid by P, Q and R Ratio of monthly equivalent
= (10 x 20) : (30 x 8) : (16 x 9)
= 200 : 240 : 144 = 25 : 30 : 18

Hence R's share
= [18/(25 + 30 + 18)] x 2920
= (18/73) x 2920
= 18 x 40
= ₹ 720