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Rs. 900 is divided among A, B, C the division is such that ¹/₂ of A's money = ¹/₃ of B's money = ¹/₄ of C's money. Find the amount ( in rupees) received by A, B, C = ?

1300, 400, 100
2350, 450, 100
3200, 300, 400
4400, 150, 350

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \Rightarrow \frac{1}{2} A = \frac{1}{3} B = \frac{1}{4} C \\ \Rightarrow A : B : C \\ 2 : 3 : 4 \\ 2 x + 3 x + 4 x = 900 \\ \Rightarrow 9 x = 900 \\ \Rightarrow x = 100 \\ A = 200 \\ B = 300 \\ C = 400 \end{aligned}

$\eqalign{ & \Rightarrow \frac{1}{2}{\text{A}} = \frac{1}{3}{\text{B}} = \frac{1}{4}{\text{C}} \cr & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} \cr & \,\,\,\,\,\,\,\,2\,\,:3:4{\text{ }} \cr & 2x + 3x + 4x = 900 \cr & \Rightarrow 9x = 900 \cr & \Rightarrow x = 100 \cr & {\text{A}} = 200 \cr & {\text{B}} = 300 \cr & {\text{C}} = 400 \cr}$

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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} \Rightarrow \frac{1}{2} A = \frac{1}{3} B = \frac{1}{4} C \\ \Rightarrow A : B : C \\ 2 : 3 : 4 \\ 2 x + 3 x + 4 x = 900 \\ \Rightarrow 9 x = 900 \\ \Rightarrow x = 100 \\ A = 200 \\ B = 300 \\ C = 400 \end{aligned}

$\eqalign{ & \Rightarrow \frac{1}{2}{\text{A}} = \frac{1}{3}{\text{B}} = \frac{1}{4}{\text{C}} \cr & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} \cr & \,\,\,\,\,\,\,\,2\,\,:3:4{\text{ }} \cr & 2x + 3x + 4x = 900 \cr & \Rightarrow 9x = 900 \cr & \Rightarrow x = 100 \cr & {\text{A}} = 200 \cr & {\text{B}} = 300 \cr & {\text{C}} = 400 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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