Question

A person had rupees nine million two hundred eighty-seven thousand ninety with him. He purchased a flat for rupees fifty-eight lakhs sixty-two thousand five hundred forty, a car for 3,86,750/-, furniture for 2,96,280/- and he deposited the remaining amount in fixed deposit in a bank. How much did he deposit in the bank?

Answer 1

Hint: We solve this problem by using simple mathematics that is by converting the given amount of words into numbers. Then we use the condition that adding all the expenditure and savings will give the money we have initially. For adding all the expenditures we convert the international system to the Indian system to solve the problem easily.

Complete step-by-step solution
We are given that the amount that a person has is nine million two hundred eighty-seven thousand ninety rupees.
Let us assume that the initial amount the person has as \['I'\]
By converting the number of words to numbers we get
\[\Rightarrow I=9,287,090\]
Here, we can see that the amount is in the international system.
Now, by converting the international system to the Indian system we get
\[\Rightarrow I=92,87,090\]
We are given that the person bought a flat for fifty-eight lakhs sixty-two thousand five hundred forty rupees
Let us assume that the amount the person spent on flat as \['F'\]
Now, by converting the amount in words to numbers we get
\[\Rightarrow F=58,62,540\]
We are given that the person bought a car for 3,86,750/-
Let us assume that the amount the person spent on the car as \['C'\] then we get
\[\Rightarrow C=3,86,750\]
We are given that the person spent 2,96,280/- on furniture.
Let us assume that the amount spent on furniture as \['f'\] then we get
\[\Rightarrow f=2,96,280\]
We are given that the person deposited all remaining amounts in the bank.
Let us assume that the amount that is deposited as \['S'\]
We know that the condition that adding all the expenditure and savings will give the money we have initially
By using the above condition to given problem we get
\[\begin{align}
  & \Rightarrow I=F+C+f+S \\
 & \Rightarrow S=I-\left( F+C+f \right) \\
\end{align}\]
Now, by substituting the required values in above equation we get
\[\begin{align}
  & \Rightarrow S=92,87,090-\left( 58,62,540+3,86,750+2,96,280 \right) \\
 & \Rightarrow S=92,87,090-65,45,570 \\
 & \Rightarrow S=27,41,520 \\
\end{align}\]
Therefore, the person deposited 27,41,520/- rupees in the bank.
By writing the amount in words we get the amount deposited in the bank is twenty-seven lakhs forty one thousand five hundred and twenty rupees.

Note: Students may make mistakes in the amount considering for the calculation.
Here we have the initial amount as
\[\Rightarrow I=9,287,090\]
Here, we need to convert the amount from the international system to the Indian system because the remaining amount is in the Indian system only. So we need to take
\[\Rightarrow I=92,87,090\]
We cannot add numbers from two different systems. So, we need to choose either an international system or an Indian system to solve the problem.