Aspire Faculty ID #16241 · Topic: NIMCET 2011 · Just now
NIMCET 2011

Mr. X 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 total estate = E.

Daughter : Son = 4 : 3 and together they get half the estate.
So 4k + 3k = E/2 ⇒ 7k = E/2 ⇒ k = E/14

Daughter = 4k = 4E/14 = 2E/7
Son = 3k = 3E/14

Wife gets twice the son’s share = 2 × (3E/14) = 3E/7

Amount to cook = E – (2E/7 + 3E/14 + 3E/7) = E/14

Given cook got 500 ⇒ E/14 = 500 ⇒ E = 7000

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