Question

Manu has invested 30% of his capital in petro bonds and rest in a life insurance plan. He has invested Rs. 34000 more in life insurance plan than in petro bonds. How much is the total investment made by Manu?

Answer 1

Hint: We assume the total investment value as a variable. We find the particular investment and find the difference being equal to 34000. We form the equation and solve it to find the solution.

Complete step-by-step answer:
Let us assume the total capital of Manu as $x$.
Manu has invested 30% of his capital in petro bonds and the rest in a life insurance plan.
In case of percentage, we need to convert the denominator of the fraction into 100.
The numerator of the fraction with denominator being 100 will be the solution of the problem.
Therefore, 30% can be written as $\dfrac{30}{100}$.
Manu invested $\dfrac{30}{100}\times x=\dfrac{3x}{10}$ in petro bonds. The remaining he invested in a life insurance plan.
The remaining amount is $x-\dfrac{3x}{10}=\dfrac{7x}{10}$.
It is given that he has invested Rs. 34000 more in life insurance plan than in petro bonds.
Therefore, $\dfrac{7x}{10}$ is 34000 greater than $\dfrac{3x}{10}$.
So, $\dfrac{7x}{10}-\dfrac{3x}{10}=34000$.
Simplifying we get
$\begin{align}
  & \dfrac{7x}{10}-\dfrac{3x}{10}=34000 \\
 & \Rightarrow \dfrac{4x}{10}=34000 \\
 & \Rightarrow x=34000\times \dfrac{10}{4}=85000 \\
\end{align}$
The total investment was of Rs. 85000.
So, the correct answer is “Rs. 85000”.

Note: We can also find the difference in percentage to equate it with 34000. The difference is 40 which is equal to 34000 in ratio and we need to find the value of 100.