Respuesta :
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, [tex]\frac{K}{3} + \frac{K}{5} + 91,000 = K[/tex]
or, [tex]\frac{3K + 5K}{15} + 91,000 = K[/tex]
or, [tex]\frac{8K}{15} - K = -91,000[/tex]
⇒ [tex]\frac{-7K}{15} = -91,000[/tex]
⇒ [tex]K = \frac{91,000 \times 15}{7} = 1, 95,000[/tex]
or, K = 1,95,000
Hence, the total money Mr. Sharma originally had was Rs. 1, 95, 000