Ishan spent rs. 35645 on buying a bike, rs. 24355 on television and the remaining 20% of the total amount he had cash with him. What was the amount?

Options

A. a. rs. 60000
B. b. rs. 72000
C. c. rs. 75000
D. d. rs. 80000

Answer

To find the total amount Ishan had, we can follow these steps:

### Step 1: Understand the problem
Ishan spent Rs. 35,645 on a bike and Rs. 24,355 on a television. The remaining amount he has is 20% of the total amount he initially had.

### Step 2: Calculate total expenses
First, we need to calculate the total amount Ishan spent on the bike and television.

\[ \text{Total expenses} = \text{Cost of bike} + \text{Cost of television} \]
\[ \text{Total expenses} = 35645 + 24355 \]
\[ \text{Total expenses} = 60000 \]

### Step 3: Determine the percentage spent
Since Ishan has 20% of his total amount left, it means he has spent 80% of his total amount.

### Step 4: Set up the equation
Let the total amount Ishan had be \( x \). According to the problem, 80% of \( x \) equals the total expenses:

\[ 0.8x = 60000 \]

### Step 5: Solve for \( x \)
To find \( x \), divide both sides of the equation by 0.8:

\[ x = \frac{60000}{0.8} \]
\[ x = 75000 \]

### Step 6: Conclusion
Thus, the total amount Ishan had is Rs. 75,000.

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