2323\frac{2}{3} of the profits whereas Jhon and Mona divided the remainder equally. It is estimated that the income of Jhon will increase by $ 60 million when the rate of profit rises from 4% to 7%. What is Mona's capital ?" /> 2323\frac{2}{3} of the profits whereas Jhon and Mona divided the remainder equally. It is estimated that the income of Jhon will increase by $ 60 million when the rate of profit rises from 4% to 7%. What is Mona's capital ?" /> 2323\frac{2}{3} of the profits whereas Jhon and Mona divided the remainder equally. It is estimated that the income of Jhon will increase by $ 60 million when the rate of profit rises from 4% to 7%. What is Mona's capital ?" />

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Jhon, Mona and Gordon, three US based business partners, jointly invested in a business project to supply nuclear fuel to India. As per their share in the investment, Gordon will receive $\frac{2}{3}$ $\frac{2}{3}$ of the profits whereas Jhon and Mona divided the remainder equally. It is estimated that the income of Jhon will increase by $ 60 million when the rate of profit rises from 4% to 7%. What is Mona's capital ?

1$ 2000 million
2$ 3000 million
3$ 5000 million
4$ 8000 million

Answer:- 1

Explanation:-

Solution:

Fraction of profit received by each one of Jhon and Mona

\begin{aligned} = \frac{(1 - \frac{2}{3})}{2} \\ = \frac{1}{6} \end{aligned}

$\eqalign{ & = \frac{{\left( {1 - \frac{2}{3}} \right)}}{2} \cr & = \frac{1}{6} \cr}$
Ratio of capitals of Jhon, Mona and Gordon = Ratio of their profits

\begin{aligned} \frac{1}{6} : \frac{1}{6} : \frac{2}{3} = 1 : 1 : 4 \\ Let the total capital be Rs . x \\ Then, \\ \frac{1}{6} of (7 % of x - 4 % of x) \\ = $ 60 million \\ \Rightarrow 3 % of x = $ 3 60 million \\ \Rightarrow x = $ (\frac{360 \times 100}{3}) million \\ \Rightarrow x = $ 1200 million \\ ∴ Mona's capital \\ = (\frac{1}{6} \times $ 12000 million) \\ = $ 200 0 million \end{aligned}

$\eqalign{ & \frac{1}{6}:\frac{1}{6}:\frac{2}{3} = 1:1:4 \cr & {\text{Let the total capital be Rs}}{\text{.}}x \cr & {\text{Then,}} \cr & \frac{1}{6}{\text{of }}\left( {7\% {\text{ of }}x - 4\% {\text{ of }}x} \right) \cr & = \$ {\text{ 60 million}} \cr & \Rightarrow 3\% \,{\text{of }}x = \$ {\text{ }}3{\text{60 million}} \cr & \Rightarrow x = \$ \left( {\frac{{360 \times 100}}{3}} \right){\text{million}} \cr & \Rightarrow x = \$ {\text{ 1200 million }} \cr & \therefore {\text{ Mona's capital }} \cr & {\text{ = }}\left( {\frac{1}{6} \times \$ {\text{12000 million }}} \right) \cr & = \$ \,200{\text{0 million }} \cr}$

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of the profits whereas Jhon and Mona divided the remainder equally. It is estimated that the income of Jhon will increase by $ 60 million when the rate of profit rises from 4% to 7%. What is Mona's capital ?", "text": "Jhon, Mona and Gordon, three US based business partners, jointly invested in a business project to supply nuclear fuel to India. As per their share in the investment, Gordon will receive

\frac{2}{3}

$\frac{2}{3}$ of the profits whereas Jhon and Mona divided the remainder equally. It is estimated that the income of Jhon will increase by $ 60 million when the rate of profit rises from 4% to 7%. What is Mona's capital ?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

Fraction of profit received by each one of Jhon and Mona

\begin{aligned} = \frac{(1 - \frac{2}{3})}{2} \\ = \frac{1}{6} \end{aligned}

$\eqalign{ & = \frac{{\left( {1 - \frac{2}{3}} \right)}}{2} \cr & = \frac{1}{6} \cr}$
Ratio of capitals of Jhon, Mona and Gordon = Ratio of their profits

\begin{aligned} \frac{1}{6} : \frac{1}{6} : \frac{2}{3} = 1 : 1 : 4 \\ Let the total capital be Rs . x \\ Then, \\ \frac{1}{6} of (7 % of x - 4 % of x) \\ = $ 60 million \\ \Rightarrow 3 % of x = $ 3 60 million \\ \Rightarrow x = $ (\frac{360 \times 100}{3}) million \\ \Rightarrow x = $ 1200 million \\ ∴ Mona's capital \\ = (\frac{1}{6} \times $ 12000 million) \\ = $ 200 0 million \end{aligned}

$\eqalign{ & \frac{1}{6}:\frac{1}{6}:\frac{2}{3} = 1:1:4 \cr & {\text{Let the total capital be Rs}}{\text{.}}x \cr & {\text{Then,}} \cr & \frac{1}{6}{\text{of }}\left( {7\% {\text{ of }}x - 4\% {\text{ of }}x} \right) \cr & = \$ {\text{ 60 million}} \cr & \Rightarrow 3\% \,{\text{of }}x = \$ {\text{ }}3{\text{60 million}} \cr & \Rightarrow x = \$ \left( {\frac{{360 \times 100}}{3}} \right){\text{million}} \cr & \Rightarrow x = \$ {\text{ 1200 million }} \cr & \therefore {\text{ Mona's capital }} \cr & {\text{ = }}\left( {\frac{1}{6} \times \$ {\text{12000 million }}} \right) \cr & = \$ \,200{\text{0 million }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Fraction of profit received by each one of Jhon and Mona

\begin{aligned} = \frac{(1 - \frac{2}{3})}{2} \\ = \frac{1}{6} \end{aligned}

$\eqalign{ & = \frac{{\left( {1 - \frac{2}{3}} \right)}}{2} \cr & = \frac{1}{6} \cr}$
Ratio of capitals of Jhon, Mona and Gordon = Ratio of their profits

\begin{aligned} \frac{1}{6} : \frac{1}{6} : \frac{2}{3} = 1 : 1 : 4 \\ Let the total capital be Rs . x \\ Then, \\ \frac{1}{6} of (7 % of x - 4 % of x) \\ = $ 60 million \\ \Rightarrow 3 % of x = $ 3 60 million \\ \Rightarrow x = $ (\frac{360 \times 100}{3}) million \\ \Rightarrow x = $ 1200 million \\ ∴ Mona's capital \\ = (\frac{1}{6} \times $ 12000 million) \\ = $ 200 0 million \end{aligned}

$\eqalign{ & \frac{1}{6}:\frac{1}{6}:\frac{2}{3} = 1:1:4 \cr & {\text{Let the total capital be Rs}}{\text{.}}x \cr & {\text{Then,}} \cr & \frac{1}{6}{\text{of }}\left( {7\% {\text{ of }}x - 4\% {\text{ of }}x} \right) \cr & = \$ {\text{ 60 million}} \cr & \Rightarrow 3\% \,{\text{of }}x = \$ {\text{ }}3{\text{60 million}} \cr & \Rightarrow x = \$ \left( {\frac{{360 \times 100}}{3}} \right){\text{million}} \cr & \Rightarrow x = \$ {\text{ 1200 million }} \cr & \therefore {\text{ Mona's capital }} \cr & {\text{ = }}\left( {\frac{1}{6} \times \$ {\text{12000 million }}} \right) \cr & = \$ \,200{\text{0 million }} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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