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If 6 persons working 8 hours a day earn Rs. 8400 per week, then 9 persons working 6 hours a day will produce in 30 minutes ?

1Rs. 8400
2Rs. 9450
3Rs. 16200
4Rs. 16800

Answer:- 1

Explanation:-

Solution:

Let the weekly earning be Rs. x
More persons , More earning (Direct proportion)
Less working hours, Less earning (Direct proportion)

\begin{matrix} Persons 6 : 9 \\ Working hours 8 : 6 \end{matrix}} :: 8400 : x

$\left. \begin{gathered} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Persons 6}}:9 \hfill \\ {\text{Working hours 8}}:6 \hfill \\ \end{gathered} \right\}::8400:x$

\begin{aligned} ∴ 6 \times 8 \times x = 9 \times 6 \times 8400 \\ \Leftrightarrow x = \frac{(9 \times 6 \times 8400)}{(6 \times 8)} \\ \Leftrightarrow x = 9450 \end{aligned}

$\eqalign{ & \therefore {\text{ }}6 \times 8 \times x = 9 \times 6 \times 8400 \cr & \Leftrightarrow x = \frac{{\left( {9 \times 6 \times 8400} \right)}}{{\left( {6 \times 8} \right)}} \cr & \Leftrightarrow x = 9450 \cr}$

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\begin{aligned} ∴ 6 \times 8 \times x = 9 \times 6 \times 8400 \\ \Leftrightarrow x = \frac{(9 \times 6 \times 8400)}{(6 \times 8)} \\ \Leftrightarrow x = 9450 \end{aligned}

$\eqalign{ & \therefore {\text{ }}6 \times 8 \times x = 9 \times 6 \times 8400 \cr & \Leftrightarrow x = \frac{{\left( {9 \times 6 \times 8400} \right)}}{{\left( {6 \times 8} \right)}} \cr & \Leftrightarrow x = 9450 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let the weekly earning be Rs. x
More persons , More earning (Direct proportion)
Less working hours, Less earning (Direct proportion)

\begin{matrix} Persons 6 : 9 \\ Working hours 8 : 6 \end{matrix}} :: 8400 : x

$\left. \begin{gathered} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{Persons 6}}:9 \hfill \\ {\text{Working hours 8}}:6 \hfill \\ \end{gathered} \right\}::8400:x$

\begin{aligned} ∴ 6 \times 8 \times x = 9 \times 6 \times 8400 \\ \Leftrightarrow x = \frac{(9 \times 6 \times 8400)}{(6 \times 8)} \\ \Leftrightarrow x = 9450 \end{aligned}

$\eqalign{ & \therefore {\text{ }}6 \times 8 \times x = 9 \times 6 \times 8400 \cr & \Leftrightarrow x = \frac{{\left( {9 \times 6 \times 8400} \right)}}{{\left( {6 \times 8} \right)}} \cr & \Leftrightarrow x = 9450 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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