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

Answer:

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

Step-by-step 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, $\frac{K}{3} + \frac{K}{5} + 91,000 = K$

or, $\frac{3K + 5K}{15} + 91,000 = K$

or, $\frac{8K}{15} - K = -91,000$

⇒  $\frac{-7K}{15} = -91,000$

⇒ $K = \frac{91,000 \times 15}{7} = 1, 95,000$

or, K = 1,95,000

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