Multiple choice

Divide $Rs. 391$ into three parts in proportion in to the fraction $\dfrac {1}{2} : \dfrac {2}{3} : \dfrac {3}{4}$

  1. $102, 136, 153$
  2. $136, 102, 153$
  3. $153, 136, 102$

  4. None of these
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A Correct answer
Explanation

Convert the fractional ratio to whole numbers by multiplying by 12: 1/2:2/3:3/4 = 6:8:9. Their sum is 23, and 391/23 = 17, so the three parts are 102, 136, and 153.

AI explanation

To divide the amount according to the fractions 1/2 : 2/3 : 3/4, first multiply the ratio by the least common multiple of the denominators, which is 12. The ratio becomes 6:8:9, meaning there are 23 total parts. The three parts are 6/23 of 391, 8/23 of 391, and 9/23 of 391, which calculate to 102, 136, and 153 respectively. The three parts are 102, 136, 153.

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