According to the will the wealth of Rs. 21,25,000 was to be divided between the son and the daughter in the ratio `7/6: 5/3`. How much did the son get (in Rs.)?

Options

A. 875000
B. 1250000
C. 1000000
D. 1125000

Answer

To solve the problem of dividing the wealth of Rs. 21,25,000 between the son and daughter in the given ratio of \( \frac{7}{6} : \frac{5}{3} \), we will follow these steps:

### Step 1: Simplify the Ratios
First, we need to simplify the given ratios \( \frac{7}{6} \) and \( \frac{5}{3} \).

To do this, we can find a common denominator. The denominators are 6 and 3. The least common multiple (LCM) of 6 and 3 is 6.

Now, we can express both ratios with a common denominator:
- For \( \frac{7}{6} \), it remains \( \frac{7}{6} \).
- For \( \frac{5}{3} \), we can convert it to sixths:
\[ \frac{5}{3} = \frac{5 \times 2}{3 \times 2} = \frac{10}{6} \]

So, the ratios become \( 7:10 \).

### Step 2: Find the Total Parts in the Ratio
Now, we add the parts of the ratio:
\[ 7 + 10 = 17 \]
This means the total parts of the ratio are 17.

### Step 3: Calculate the Value of One Part
Next, we need to find the value of one part of the total wealth. The total wealth is Rs. 21,25,000.

To find the value of one part, we divide the total wealth by the total parts:
\[ \text{Value of one part} = \frac{21,25,000}{17} \]

Calculating this gives:
\[ \text{Value of one part} = 1,25,000 \]

### Step 4: Calculate the Amount for the Son
The son’s share is represented by 7 parts. Therefore, we multiply the value of one part by 7 to find the son’s share:
\[ \text{Son's share} = 7 \times 1,25,000 \]

Calculating this gives:
\[ \text{Son's share} = 8,75,000 \]

### Conclusion
Thus, the son receives Rs. 8,75,000.

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