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A, B, C started a business with their investments in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is ?

14 : 3 : 5
25 : 6 : 10
36 : 5 : 10
410 : 5 : 6

Answer:- 1

Explanation:-

Solution:

Let their initial investments be x, 3x and 5x respectively
Then,

= A : B : C

$= {\text{A}}:{\text{B}}:{\text{C}}$

= (x \times 4 + 2 x \times 8)

$= \left( {x \times 4 + 2x \times 8} \right)$ :

(3 x \times 4 + \frac{3 x}{2} \times 8)

$\left( {3x \times 4 + \frac{{3x}}{2} \times 8} \right)$ :

(5 x \times 4 + \frac{5 x}{2} \times 8)

$\left( {5x \times 4 + \frac{{5x}}{2} \times 8} \right)$

\begin{aligned} = 20 x : 24 x : 40 x \\ = 5 : 6 : 10 \end{aligned}

$\eqalign{ & = 20x:24x:40x \cr & = 5:6:10 \cr}$

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= (x \times 4 + 2 x \times 8)

$= \left( {x \times 4 + 2x \times 8} \right)$ :

(3 x \times 4 + \frac{3 x}{2} \times 8)

$\left( {3x \times 4 + \frac{{3x}}{2} \times 8} \right)$ :

(5 x \times 4 + \frac{5 x}{2} \times 8)

$\left( {5x \times 4 + \frac{{5x}}{2} \times 8} \right)$

\begin{aligned} = 20 x : 24 x : 40 x \\ = 5 : 6 : 10 \end{aligned}

$\eqalign{ & = 20x:24x:40x \cr & = 5:6:10 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let their initial investments be x, 3x and 5x respectively
Then,

= A : B : C

$= {\text{A}}:{\text{B}}:{\text{C}}$

= (x \times 4 + 2 x \times 8)

$= \left( {x \times 4 + 2x \times 8} \right)$ :

(3 x \times 4 + \frac{3 x}{2} \times 8)

$\left( {3x \times 4 + \frac{{3x}}{2} \times 8} \right)$ :

(5 x \times 4 + \frac{5 x}{2} \times 8)

$\left( {5x \times 4 + \frac{{5x}}{2} \times 8} \right)$

\begin{aligned} = 20 x : 24 x : 40 x \\ = 5 : 6 : 10 \end{aligned}

$\eqalign{ & = 20x:24x:40x \cr & = 5:6:10 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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