Question & Answer
QUESTION

Jaya, Seema, Nikhil and Neelesh put in altogether 360000 rupees to form a partnership with their investment being in the proportion 3:4:7:6 what was Jaya's actual share in the capital? They made a profit of 12percent how much profit did Nikhil make?

ANSWER Verified Verified
Hint: To proceed this question, we first of all convert the ratios given into variables.
Then analyzing the given conditions, we form equations and try to get the value of the assumed variable.

Complete Step-by-Step solution:
To proceed this question, we first of all convert the ratios given into variables.
Let the variable be x then the contribution of all will be as below,
Let Jaya's contribution be 3x, Seema's be 4x, Nikhil's be 7x and then Neelesh's contribution would be 6x.
Now given that the contribution of Jaya, Seema, Nikhil and Neelesh put in altogether is 360000 rupees.
So, according to the given condition we have,
\[\begin{array}{*{35}{l}}
   3x\text{ }+4x\text{ }+7x\text{ }+\text{ }6x\text{ }=\text{ }360000 \\
   \Rightarrow 20x\text{ }=\text{ }360000 \\
   \Rightarrow x=\text{ }36000\div \text{ }20 \\
   \Rightarrow x=\text{ }1800 \\
   ~ \\
\end{array}\]
Hence, we obtained the value of x as 1800.
Substituting the value of contributions of all of the four contributors we have,
Jaya's contribution= 3x = 3 × 1800= 5400 rupees.
Hence, we obtain that Jaya's actual share in the capital is Rs. 5400
Given that they earned a profit of 12%.
Then total profit % = 12%.
Converting profit% into profit we have,
Let the profit be p, gives,
\[\begin{align}
  & p\text{ }=\text{ }\dfrac{12}{100}\text{(}360000) \\
 & \Rightarrow profit=\text{ }43200\text{ }rupees \\
\end{align}\]

Let their profit be in terms of the variable y as 3y, 4y, 7y, 6y of Jaya, Seema, Nikhil and Neelesh respectively.
Then as the total profit is Rs. 43200 we get,
\[\begin{array}{*{35}{l}}
   3y+\text{ }4y+7y+6y\text{ }=\text{ }43200 \\
   \Rightarrow 20y=\text{ }43200 \\
   \Rightarrow y=\text{ }43200\div 20 \\
   \Rightarrow y=\text{ }2160 \\
   ~ \\
\end{array}\]
We have to calculate the profit of Nikhil.
The side of Nikhil’s profit is given by,
7y = 7(2160) = 15120.
Hence, we obtain Jaya's actual share in the capital is Rs. 5400 and we obtain the profit of Nikhil as Rs. 15120.

Note: The possibility of error in this question can be at calculating the profit. Always remember that we are given the profit percent and before applying it in any value we need to convert the profit percent into profit and then calculate the result.