Question

Mr. Sharma gave one-third of his money to his son, one-fifth of his money to his daughter and the remaining to his wife, if his wife gets Rs. 91000,how much money Mr.Sharma had originally

Answer 1

Answer: Thank you so much!

Answer 2

The total money Mr. Sharma originally had was Rs. 1, 95, 000

Explanation:

Let the original money Mr. Sharma had = (K) Rs

So, the share of his son = K/3

Share of his daughter = K/5

Share of his wife = Rs. 91,000

Now, according to the question:

Share of Son + Share of Daughter + Share of Wife = Mr. Sharma's total money

or,
`(K)/(3) + (K)/(5) + 91,000 = K`

or,
`(3K + 5K)/(15)  + 91,000 = K`

or,
`(8K)/(15)  - K = -91,000`

⇒
`(-7K)/(15)  = -91,000`

⇒
`K  = (91,000 * 15)/(7)  = 1, 95,000`

or, K = 1,95,000

Hence, the total money Mr. Sharma originally had was Rs. 1, 95, 000