According to Mr Sharma 39 s will half of his property goes to his wife and the rest is equally divid...........

Quantitative Aptitude (CDS) Ratio, Proportion

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 Rs. 88,000 worth of the property. The total worth of the property of Mr. Sharma was

Rs. 1,00,000

Rs. 1,24,000

Rs. 1,28,000

Rs. 1,32,000

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Explanation:

Initially according to the will
Mr. Sharma’s wife share = 50%
Ravi’s share = 25% = Raj’s share
After Ravi’s death
Ravi’s widow share = 25%/2 = 12.5%
Raj’s share = Raj’s initial share + remaining share of raj’s = 25% + 12.5% = 37.5%
After Raj’s Death,
Raj’s widow share = 37.5/2 % = 18.75%
Mr. Sharma’s wife’s share = 50% + remaining share of Raj = 50% + 18.75% = 68.75%
68.75% of Mr. Sharma’s Property = Rs. 88000
100% of Mr. Sharma’s Property = 88000* 100/68.75 = Rs. 128000