Rajesh spent rs. 44620 on diwali shopping, rs. 32764 on buying computer and the remaining 32% of the total amount he had as cash with him. What was the total amount?

Options

A. a. rs. 36416
B. b. rs.113800
C. c. rs. 77384
D. d. none of these

Answer

To find the total amount Rajesh had, we can break down the problem step by step.

### Step 1: Understand the expenses
Rajesh has two expenses:
- Diwali shopping: Rs. 44,620
- Computer purchase: Rs. 32,764

### Step 2: Calculate total expenses
To find the total amount spent, we add the two expenses together.

\[ \text{Total Expenses} = \text{Expense on Diwali} + \text{Expense on Computer} \]
\[ \text{Total Expenses} = 44620 + 32764 \]
\[ \text{Total Expenses} = 77384 \]

### Step 3: Determine the percentage spent
According to the problem, Rajesh has 32% of his total amount left as cash. This means he has spent 68% of his total amount.

### Step 4: Set up the equation
Let the total amount be represented as \( x \). Since he has spent 68% of his total amount, we can express this as:

\[ 0.68x = 77384 \]

### Step 5: Solve for \( x \)
To find the total amount, we will rearrange the equation to solve for \( x \):

\[ x = \frac{77384}{0.68} \]

### Step 6: Calculate \( x \)
Now, we will perform the division:

\[ x = \frac{77384}{0.68} \approx 113800 \]

### Conclusion
Thus, the total amount Rajesh had is Rs. 113,800.

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