Multiple choice

Divide Rs.$290$ among A, B, C in the ratio $\dfrac{3}{2},\dfrac{5}{4}$ and $\dfrac{3}{8}$.

  1. $120,\,100,\,30$
  2. $120,\,30,\,60$
  3. $30,\,60,\,15$
  4. $60,\,50,\,15$
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A Correct answer
AI explanation

To divide 290 in the ratio 3/2 : 5/4 : 3/8, first multiply by the least common multiple of 2, 4, and 8, which is 8, to clear the fractions. The integer ratio becomes 12 : 10 : 3, making the total number of parts 12 + 10 + 3 = 25. The value of one part is 290 divided by 25, which is 11.6, so the shares are 12 times 11.6 = 120, 10 times 11.6 = 100, and 3 times 11.6 = 30.

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