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A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?

1Rs. 45
2Rs. 50
3Rs. 55
4Rs. 60

Answer:- 1

Explanation:-

Solution:

\begin{aligned} A : B : C \\ = (10 \times 7) : (12 \times 5) : (15 \times 3) \\ = 70 : 60 : 45 \\ = 14 : 12 : 9 \\ C's rent = Rs . (175 \times \frac{9}{35}) \\ = Rs . 45 \end{aligned}

$\eqalign{ & A:B:C \cr & = \left( {10 \times 7} \right):\left( {12 \times 5} \right):\left( {15 \times 3} \right) \cr & = 70:60:45 \cr & = 14:12:9 \cr & {\text{C's rent}} = {\text{Rs}}{\text{.}}\left( {175 \times \frac{9}{{35}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}45 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} A : B : C \\ = (10 \times 7) : (12 \times 5) : (15 \times 3) \\ = 70 : 60 : 45 \\ = 14 : 12 : 9 \\ C's rent = Rs . (175 \times \frac{9}{35}) \\ = Rs . 45 \end{aligned}

$\eqalign{ & A:B:C \cr & = \left( {10 \times 7} \right):\left( {12 \times 5} \right):\left( {15 \times 3} \right) \cr & = 70:60:45 \cr & = 14:12:9 \cr & {\text{C's rent}} = {\text{Rs}}{\text{.}}\left( {175 \times \frac{9}{{35}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{. }}45 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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