Rs 490 is divided among A, B and C such that A's share is half that of B's and thrice that of C's. What is C's share ?

Rs 490 को A, B और C में इस प्रकार विभाजित किया जाता है कि A का शेयर B के शेयर से आधा है और C के शेयर से तीन गुना है। C का शेयर कितना है ?

Options

A. Rs 49
B. Rs 147
C. Rs 294
D. Rs 245

Explanation

To solve the problem of dividing Rs 490 among A, B, and C based on the given conditions, we can follow these steps:

### Step 1: Define the Shares
Let C's share be \( x \). According to the problem:
- A's share is three times C's share, so A's share = \( 3x \).
- B's share is twice A's share, so B's share = \( 2 \times (3x) = 6x \).

### Step 2: Set Up the Equation
Now, we can express the total amount shared among A, B, and C:
\[ A + B + C = 490 \]
Substituting the values we defined:
\[ 3x + 6x + x = 490 \]

### Step 3: Combine Like Terms
Combine the terms on the left side:
\[ 10x = 490 \]

### Step 4: Solve for x
Now, divide both sides by 10 to find the value of \( x \):
\[ x = \frac{490}{10} = 49 \]

### Step 5: Find C's Share
Since \( x \) represents C's share:
\[ C's \, share = x = 49 \]

### Final Answer
C's share is Rs 49.

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