Multiple choice

A Father divides his property among his three sons in the ratio $1\dfrac { 1 }{ 2 } :\dfrac { 2 }{ 3 } :\dfrac { 3 }{ 4 } $ find the share of ${ 1 }^{ st }$ son. total property is 70,000

  1. $18, 000$
  2. $36, 000$
  3. $54, 000$
  4. $None$
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B Correct answer
Explanation

The ratio is 3/2 : 2/3 : 3/4. Multiplying by the LCM (12), we get 18 : 8 : 9. The first son's share is 18 / (18 + 8 + 9) * 70,000 = 18 / 35 * 70,000 = 36,000.

AI explanation

Convert the mixed and fractional ratio to improper fractions to get 3/2 : 2/3 : 3/4. Multiplying by the least common multiple of the denominators, which is 12, gives the simplified ratio of 18 : 8 : 9. The sum of these parts is 35, and the first son's share corresponds to 18 parts out of the total property of 70,000. The first son's share is 18 divided by 35, multiplied by 70,000, resulting in 36,000.

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