There is a certain sum of money from which Anmol takes `20%`, Golu takes `50%` of the remaining. Yash takes Rs. 1200 less than the amount taken by Golu and Shivam takes rest amount. If Anmol got Rs. 400 less than Yash, then find amount taken by Golu is how much more than amount taken by Shivam.

Options

A. Rs. 2700
B. Rs. 2400
C. Rs.1500
D. Rs. 2000

Answer

To solve the problem step by step, we can break it down as follows:

### Step 1: Define the Total Amount
Let the total amount of money be represented as \( 100x \).

### Step 2: Calculate Anmol's Share
Anmol takes \( 20\% \) of the total amount:
\[ \text{Anmol's share} = 20\% \text{ of } 100x = 20x \]

### Step 3: Calculate Remaining Amount After Anmol's Share
After Anmol takes his share, the remaining amount is:
\[ \text{Remaining amount} = 100x - 20x = 80x \]

### Step 4: Calculate Golu's Share
Golu takes \( 50\% \) of the remaining amount:
\[ \text{Golu's share} = 50\% \text{ of } 80x = 40x \]

### Step 5: Calculate Yash's Share
Yash takes Rs. 1200 less than Golu:
\[ \text{Yash's share} = 40x - 1200 \]

### Step 6: Calculate Shivam's Share
Shivam takes the remaining amount after Anmol, Golu, and Yash have taken their shares. The total amount taken by Anmol, Golu, and Yash is:
\[ \text{Total taken} = 20x + 40x + (40x - 1200) = 100x - 1200 \]
Thus, Shivam's share is:
\[ \text{Shivam's share} = 100x - \text{Total taken} = 100x - (100x - 1200) = 1200 \]

### Step 7: Set Up the Equation Based on Anmol and Yash's Relationship
According to the problem, Anmol received Rs. 400 less than Yash:
\[ 20x = (40x - 1200) - 400 \]
Simplifying this gives:
\[ 20x = 40x - 1600 \]
Rearranging the equation:
\[ 20x = 1600 \]
Thus, solving for \( x \):
\[ x = 80 \]

### Step 8: Calculate the Amounts Taken by Each Person
Now we can find the amounts taken by each person:
- Anmol's share:
\[ 20x = 20 \times 80 = 1600 \]
- Golu's share:
\[ 40x = 40 \times 80 = 3200 \]
- Yash's share:
\[ 40x - 1200 = 3200 - 1200 = 2000 \]
- Shivam's share:
\[ 1200 \]

### Step 9: Find the Difference Between Golu's and Shivam's Shares
Now we need to find how much more Golu took than Shivam:
\[ \text{Difference} = \text{Golu's share} - \text{Shivam's share} = 3200 - 1200 = 2000 \]

### Final Answer
The amount taken by Golu is Rs. 2000 more than the amount taken by Shivam.

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