NIMCET 2011 Question Paper with solutions

Question : 52 of 120

Marks: +1, -0

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left his entire estate to his wife, his daughter, his son and the cook, his daughter and son got half the estate, sharing in the ratio of 4 to

3 .

His wife got twice as much as the son. If the cook received a bequest of

₹ 500

, then the entire estate was

Solution:

Let the entire estate was

₹ x

.
(Daughter + Son)'s estate

=₹ \;{x}/{2}

∵

Daughter and son sharing ratio is

4: 3

∴

Daughter's estate

=₹ \;{x}/{2} × \;{4}/{7}=₹ \;{4 x}/{14}

Son's estate

=₹ \;{x}/{2} × \;{3}/{7}=₹ \;{3 x}/{14}

So, mother's estate

=2 × ₹ \;{3 x}/{14}=₹ \;{6 x}/{14}

Remaining estate

=x-(\;{x}/{2}+\;{6 x}/{14})

=x-\;{13 x}/{4}=7 \;{x}/{14}

Then,

\;\; \;{x}/{14}=500 ⇒ x=₹ 7000

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