Multiple choice

Raman can do a work in $5$ days, Jatin can do the same work in $7$ days and Sachin can do the same work in $9$ days. If they do the same work together and they are paid Rs. $2860$, then what is the share (in Rs.) of Raman?

  1. $1260$
  2. $700$
  3. $900$
  4. $870$
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A Correct answer
Explanation

Work shares are proportional to efficiency (1/time). Efficiencies: Raman = 1/5, Jatin = 1/7, Sachin = 1/9. Ratio = 63:45:35. Total parts = 143. Raman's share = (63/143) * 2860 = 63 * 20 = 1260.

AI explanation

The share of wages is distributed in the ratio of their efficiencies, which are the reciprocals of 5, 7 and 9. The ratio of their shares is 1 over 5 to 1 over 7 to 1 over 9. Multiplying by the LCM of 315 gives the ratio as 63 to 45 to 35, making the total parts 143. Raman's share is 63 divided by 143 of the total Rs. 2860. Multiplying 2860 by 63 and dividing by 143 gives Rs. 1260.

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