The ratio of money with Ram and Gopal is 7:17 and that with Gopal and Krishna is 7:17 if Ram has Rs.490 Krishan has

Options

A. A)Rs.2890
B. B)Rs.2330
C. C)Rs.1190
D. D)Rs.2680

Answer

To solve the problem step by step, we will follow the given ratios and the information provided.

### Step 1: Understand the Ratios
We know that:
- The ratio of money with Ram (R) and Gopal (G) is 7:17.
- The ratio of money with Gopal (G) and Krishna (K) is also 7:17.

### Step 2: Set Up the Ratios
Let’s express the amounts of money Ram, Gopal, and Krishna have in terms of a common variable:
- Let Ram's money = 7x
- Let Gopal's money = 17x

For Gopal and Krishna:
- Let Gopal's money = 7y (which is the same as 17x)
- Let Krishna's money = 17y

### Step 3: Equate Gopal's Money
Since Gopal's money is represented in both ratios, we can equate them:
\[ 17x = 7y \]

### Step 4: Solve for y in terms of x
From the equation \( 17x = 7y \), we can express y in terms of x:
\[ y = \frac{17}{7}x \]

### Step 5: Express Krishna's Money in terms of x
Now, substituting y into Krishna's money:
\[ K = 17y = 17 \left(\frac{17}{7}x\right) = \frac{289}{7}x \]

### Step 6: Use the given information about Ram's money
We know Ram has Rs. 490:
\[ 7x = 490 \]
To find x, divide both sides by 7:
\[ x = \frac{490}{7} = 70 \]

### Step 7: Calculate Krishna's Money
Now substitute x back into the expression for Krishna's money:
\[ K = \frac{289}{7} \times 70 \]
\[ K = 289 \times 10 = 2890 \]

### Conclusion
Thus, Krishna has Rs. 2890.

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