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According to Mr. Sharma’s will, half of his property goes to his wife and the rest is equally divided between his two sons, Ravi and Raj. Some years later, Ravi dies and leaves half of his property to his widow and rest to his brother Raj. When Raj dies, he leaves half of his property to his widow and remaining to his mother, who is still alive. The mother now owns 88,000 worth of the property. The total worth of the property of Mr. Sharma was

According to Mr. Sharma’s will, half of his property goes to his wife and the rest is equally divided between his two sons, Ravi and Raj. Some years later, Ravi dies and leaves half of his property to his widow and rest to his brother Raj. When Raj dies, he leaves half of his property to his widow and remaining to his mother, who is still alive. The mother now owns 88,000 worth of the property. The total worth of the property of Mr. Sharma was Correct Answer Rs. 1,28,000

Let the total worth of the property of Mr. Sharma be Rs. ‘x’

Initial property share of his wife = x/2

Property share of Ravi = Property share of Raj = (1/2) × (x/2) = x/4

After death of Ravi,

Property share of Raj = x/4 + (1/2) × (x/4) = x/4 + x/8 = 3x/8

After death of Raj,

Property share of their mother = x/2 + (1/2) × (3x/8) = x/2 + 3x/16 = 11x/16

But, she owns Rs. 88000 worth of the property,

⇒ 11x/16 = 88000

⇒ x = 16/11 × 88000 = Rs. 128000

∴ Total worth of property of Mr. Sharma = Rs. 128000

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