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Anjum is counting his last days, he keeps half his property for his wife and divides the rest equally among his three sons: Bimar, Cumar and Danger. Some years later, Bimar dies, leaving half his property to his widow and half to his brothers, Cumar and Danger together, sharing equally. When Cumar makes his will, he keeps half his property for his widow and the rest he bequeaths to his younger brother Danger. When Danger dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1575000. What was the worth of the total property?

Anjum is counting his last days, he keeps half his property for his wife and divides the rest equally among his three sons: Bimar, Cumar and Danger. Some years later, Bimar dies, leaving half his property to his widow and half to his brothers, Cumar and Danger together, sharing equally. When Cumar makes his will, he keeps half his property for his widow and the rest he bequeaths to his younger brother Danger. When Danger dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1575000. What was the worth of the total property? Correct Answer 2.4 crore

Let the worth of total property of Anjum be "x"

Property given to wife = x/2

Property given to Bimar, Cumar and Danger = x/6

After Bimar dies,

Property of Cumar and Danger becomes = x/6 + x/24 = 5x/24

After Cumar makes his will

Property of Danger becomes 5x/24 + 5x/48 = 5x/16

After Danger dies,

Property of Mother (Anjum's wife) becomes = x/2 + 5x/32 = 21x/32

According to Question,

21x/32 = 1575000

x = 24000000

∴ the worth of the total property is 2.4 crore

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