Sonu and his friend Rahul went for shopping. Sonu had Rs. 500 with him while Rahul had Rs. 240. Sonu spent twice as much as Rahul on shopping. Now Sonu has three times as much money as is left with Rahul. How much money did Sonu spend?

Options

A. Rs 60
B. Rs. 440
C. Rs. 120
D. Rs. 220

Explanation

To solve the problem, let's define some variables and break down the information given in the question step by step.

### Step 1: Define Variables
Let the amount of money Rahul spent be \( R \). Since Sonu spent twice as much as Rahul, the amount Sonu spent will be \( 2R \).

### Step 2: Calculate Remaining Amounts
- Initially, Sonu had Rs. 500. After spending \( 2R \), the amount Sonu has left is:
\[ 500 - 2R \]
- Initially, Rahul had Rs. 240. After spending \( R \), the amount Rahul has left is:
\[ 240 - R \]

### Step 3: Set Up the Equation
According to the problem, Sonu now has three times as much money as is left with Rahul. Therefore, we can set up the equation:
\[ 500 - 2R = 3(240 - R) \]

### Step 4: Simplify the Equation
Now, let's simplify the equation:
\[ 500 - 2R = 720 - 3R \]
To isolate \( R \), we can add \( 3R \) to both sides:
\[ 500 + R = 720 \]
Next, subtract 500 from both sides:
\[ R = 720 - 500 \]
\[ R = 220 \]

### Step 5: Calculate Sonu's Spending
Since Sonu spent twice as much as Rahul, we can find how much Sonu spent:
\[ \text{Sonu's spending} = 2R = 2 \times 220 = 440 \]

### Conclusion
Thus, the amount of money Sonu spent is Rs. 440.

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