Multiple choice

If $Rs. 8400$ is divided among A, B and C in the ratio $\dfrac {1}{5} : \dfrac {1}{6} : \dfrac {1}{10}$, what is the share of A?

  1. $Rs. 1800$
  2. $Rs. 3000$
  3. $Rs. 3600$
  4. $Rs. 4000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The ratio 1/5 : 1/6 : 1/10 can be simplified by multiplying by the LCM (30), giving 6 : 5 : 3. The total parts are 6+5+3 = 14. A's share = (6/14) * 8400 = 6 * 600 = 3600.

AI explanation

To simplify the ratio of fractions 1/5 : 1/6 : 1/10, multiply each term by the least common multiple of the denominators, which is 30. This converts the ratio to 6:5:3, meaning there are 14 total parts. A's share is 6/14 of the total Rs. 8400, calculated as (6/14) * 8400 = 3600. The share of A is Rs. 3600.

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