Multiple choice

Rs. 3105 is due to be divided between K, L and M in the proportion 2/3 : 3/4 : 1/2, respectively. How much would L get?

  1. Rs. 1080

  2. Rs. 810

  3. Rs. 1215

  4. Rs. 970

  5. NA
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The ratio 2/3 : 3/4 : 1/2 is equivalent to 8/12 : 9/12 : 6/12, or 8:9:6. The total parts are 8+9+6 = 23. L's share is (9/23) * 3105 = 9 * 135 = 1215.

AI explanation

To divide the amount in the given proportion, first equalize the denominators of the fractions 2/3, 3/4, and 1/2 by making them 12. The ratio becomes 8/12 : 9/12 : 6/12, which simplifies to the integer ratio 8 : 9 : 6. L's share corresponds to 9 parts out of the total 23 parts, so L gets (9/23) * 3105. This calculates to Rs. 1215.

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