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The ratio of the incomes of Ram and Shyam is 7 : 17 and that of Shyam and Sohan is 7 : 17. If the income of Ram is Rs. 490, what is the income of Sohan ?

1Rs. 490
2Rs. 1190
3Rs. 2790
4Rs. 2890

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Ram : Shyam = 7 : 17 \\ Shyam : Sohan = 7 : 17 \\ = (7 \times \frac{17}{7}) : (17 \times \frac{17}{7}) \\ = 17 : \frac{289}{7} . \\ Ram : Shyam : Sohan \\ = 7 : 17 : \frac{289}{7} \\ = 49 : 119 : 289. \end{aligned}

$\eqalign{ & {\text{Ram}}:{\text{Shyam}} = 7:17 \cr & {\text{Shyam}}:{\text{Sohan}} = 7:17 \cr & = \left( {7 \times \frac{{17}}{7}} \right):\left( {17 \times \frac{{17}}{7}} \right) \cr & = 17:\frac{{289}}{7}. \cr & {\text{Ram}}:{\text{Shyam}}:{\text{Sohan}} \cr & = 7:17:\frac{{289}}{7} \cr & = 49:119:289. \cr}$ Let Sohan's income be Rs. x
Then,
= 49 : 289 :: 490 : x or x = 2890

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Let Sohan's income be Rs. x
Then,
= 49 : 289 :: 490 : x or x = 2890 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Ram : Shyam = 7 : 17 \\ Shyam : Sohan = 7 : 17 \\ = (7 \times \frac{17}{7}) : (17 \times \frac{17}{7}) \\ = 17 : \frac{289}{7} . \\ Ram : Shyam : Sohan \\ = 7 : 17 : \frac{289}{7} \\ = 49 : 119 : 289. \end{aligned}

$\eqalign{ & {\text{Ram}}:{\text{Shyam}} = 7:17 \cr & {\text{Shyam}}:{\text{Sohan}} = 7:17 \cr & = \left( {7 \times \frac{{17}}{7}} \right):\left( {17 \times \frac{{17}}{7}} \right) \cr & = 17:\frac{{289}}{7}. \cr & {\text{Ram}}:{\text{Shyam}}:{\text{Sohan}} \cr & = 7:17:\frac{{289}}{7} \cr & = 49:119:289. \cr}$ Let Sohan's income be Rs. x
Then,
= 49 : 289 :: 490 : x or x = 2890 ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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