After spending 40% in machinery, 25% in building, 15% in raw material and 5% on furniture, Harilal had a balance of Rs.52200. The money with him was _______.

Options

A. Rs. 260000
B. Rs. 289000
C. Rs.348000
D. Rs. 556000

Answer

To find out how much money Harilal initially had, we can set up the problem step by step.

### Step 1: Define the total amount of money
Let the total amount of money Harilal had be represented as \( X \).

### Step 2: Calculate the total percentage spent
Harilal spent the following percentages of his total money:
- 40% on machinery
- 25% on building
- 15% on raw materials
- 5% on furniture

Adding these percentages together:
\[ 40\% + 25\% + 15\% + 5\% = 85\% \]

This means Harilal spent 85% of his total money.

### Step 3: Calculate the remaining percentage
Since he spent 85%, the remaining percentage of his money is:
\[ 100\% - 85\% = 15\% \]

### Step 4: Set up the equation
According to the problem, after spending, Harilal had a balance of Rs. 52,200, which represents the remaining 15% of his total money:
\[ 0.15X = 52200 \]

### Step 5: Solve for \( X \)
To find \( X \), we can rearrange the equation:
\[ X = \frac{52200}{0.15} \]

Calculating this gives:
\[ X = 52200 \div 0.15 \]
\[ X = 52200 \times \frac{100}{15} = 52200 \times \frac{20}{3} = 348000 \]

### Step 6: Conclusion
Thus, the total amount of money Harilal initially had is:
\[ \boxed{348000} \]

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