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A man divides his property, so that his son's share to his wife's and wife's shares to his daughter's are both as in the ratio 3 : 1. If the daughter gets ₹ 10,000 less than the son, the value (in ₹) of the whole property is :

  • A.₹ 16,250
  • B.₹ 16,000
  • C.₹ 18,250
  • D.₹ 17,000

Answer: A

The whole property is worth ₹ 16,250.

Son : wife = 3 : 1 and wife : daughter = 3 : 1, so son : wife : daughter = 9 : 3 : 1.

\[ \begin{aligned} 9k - k &= 8k = 10000 \Rightarrow k = 1250 \\ \text{total} &= 13k = 16250 \end{aligned} \]

Treating the ratio as son : wife : daughter = 3 : 1 : 1/3 leads to the same answer; the other totals do not split 9 : 3 : 1 with a difference of 10,000.

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