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Four milkmen rented a pasture. M put to graze 16 cows for 3 months and N 20 cows for 4 months, O 18 cows for 6 months and P 42 cows for 2 months. If M’s share of rent be Rs. 2400, the rent paid by O is ?

a) Rs. 3200
b) Rs. 4200
c) Rs. 4000
d) Rs. 5400

Answer: d
Explanation: M graze 16 cows for 3 months
N graze 20 cows for 4 months
O graze 18 cows for 6 months
P graze 42 cows for 2 months
Ration of Rent = M : N : O : P
= (16 × 3) : (20 × 4) : (18 × 6) : (42 × 2)
= 48 : 80 : 108 : 84
= 12 : 20 : 27 : 21
$$\eqalign{ & {\text{12 units}} = {\text{Rs}}{\text{. 2400}} \cr & {\text{1 unit}} = \frac{{2400}}{{12}} \cr & 27{\text{ units}} = \frac{{2400 \times 27}}{{12}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}5400 \cr} $$

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