Sohan spends 23% of an amount of money on an insurance policy, 33% on food, 19% on children's education and 16% on recreation .He deposits the remaining amount of X 504 in bank.How much total amount does he spend on food and insurance policy together?

Options

A. X 3200
B. X 3126
C. X 3136
D. X 3048

Answer

To solve the problem step by step, let's break it down clearly:

### Step 1: Identify the percentages spent by Sohan
Sohan spends the following percentages of his total amount:
- Insurance policy: 23%
- Food: 33%
- Children's education: 19%
- Recreation: 16%

### Step 2: Calculate the total percentage spent
Add all the percentages together:
\[ 23\% + 33\% + 19\% + 16\% = 91\% \]

### Step 3: Determine the remaining percentage
Since the total percentage is 100%, the remaining percentage is:
\[ 100\% - 91\% = 9\% \]

### Step 4: Relate the remaining percentage to the amount deposited
We know that the remaining 9% corresponds to the amount deposited in the bank, which is ₹504. Therefore, we can set up the equation:
\[ 9\% = ₹504 \]

### Step 5: Find the total amount (let's call it T)
To find the total amount (T), we can use the relationship:
\[ 9\% \text{ of } T = 504 \]
This can be rewritten as:
\[ T = \frac{504 \times 100}{9} \]

### Step 6: Calculate the total amount
Now, we calculate T:
\[ T = \frac{504 \times 100}{9} = 5600 \]

### Step 7: Calculate the amounts spent on food and insurance
Now that we have the total amount, we can find out how much Sohan spent on food and insurance:
- Amount spent on insurance:
\[ \text{Insurance} = 23\% \text{ of } 5600 = \frac{23}{100} \times 5600 = 1288 \]
- Amount spent on food:
\[ \text{Food} = 33\% \text{ of } 5600 = \frac{33}{100} \times 5600 = 1848 \]

### Step 8: Find the total amount spent on food and insurance together
Now, we add the amounts spent on food and insurance:
\[ \text{Total spent on food and insurance} = 1288 + 1848 = 3136 \]

### Final Answer
Thus, the total amount Sohan spends on food and the insurance policy together is ₹3136.

---