Multiple choice

A and B together can do a piece of work in 12 days. If their shares of profit are Rs. 1443 and Rs. 962 respectively, then find in how many days A alone can complete the work?

  1. 20

  2. 30

  3. 25

  4. 18
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A and B together complete work in 12 days. Their profit shares (1443:962 = 3:2) reflect their work rates. If A's work rate is 3x and B's is 2x, then (3x + 2x) × 12 = 1 job, so 60x = 1. A alone takes 1/(3x) = 1/(3/60) = 20 days. Profit sharing is directly proportional to work contribution in partnerships.

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