Mr. Sinha distributes a certain sum of money among his five sons, one daughter and his wife in such a way that each son gets double the amount of his daughter and the wife gets double the amount of each son. If each son gets Rs. 15000, what was the total amount distributed?

Let’s assume the amount received by the daughter is \(x\). According to the problem, each son gets double the amount of the daughter, so each son gets \(2x\). It is given that each son receives Rs. 15,000, so we can set up the equation:

\[2x = 15,000\]

Solving for \(x\), we get:

\[x = \frac{15,000}{2} = 7,500\]

So, the daughter receives Rs. 7,500.

The wife receives double the amount of each son, which is:

\[2 \times 15,000 = 30,000\]

Now, the total amount distributed is the sum of the amounts received by all family members:

\[5 \times (\text{amount received by each son}) + \text{amount received by the daughter} + \text{amount received by the wife}\]

\[= 5 \times 15,000 + 7,500 + 30,000 = 75,000 + 7,500 + 30,000 = 112,500\]

Therefore, the total amount distributed by Mr. Sinha is Rs. 112,500.