Multiple choice

Renu alone can do a piece of work in 8 days and Suhavi alone can do it in 10 days. If Seema joins them, they finish the work in 4 days. Find the share of Renu, if the trio undertakes to finish the work for a remuneration of Rs. 800.

  1. Rs. 320

  2. Rs. 400

  3. Rs. 200

  4. Rs. 550

  5. Rs. 620
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Renu's rate is 1/8, Suhavi's is 1/10. Together with Seema, the rate is 1/4. Seema's rate = 1/4 - (1/8 + 1/10) = 1/4 - 9/40 = 1/40. The work shares are proportional to rates: Renu 1/8, Suhavi 1/10, Seema 1/40. Ratio is 5:4:1. Renu's share = (5/10)*800 = 400.

AI explanation

Renu, Suhavi and Seema finish the work together in 4 days, while Renu alone takes 8 days. Renu's efficiency ratio compared to the total team's efficiency is (1/8) / (1/4) = 1/2. Therefore, Renu's share of the Rs. 800 remuneration is 1/2 * 800 = Rs. 400.

Keep practicing — related questions