Multiple choice

Suman can do a work in 3 days. Sumati can do the same work in 2 days. Both of them finish the work together and get Rs 150. What is the share of Suman?

  1. Rs 30

  2. Rs 60

  3. Rs 70

  4. Rs 75
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Suman's work rate is 1/3 per day, Sumati's is 1/2 per day. Together they complete the work in 1/(1/3+1/2) = 6/5 days. Suman's contribution = (1/3)×(6/5) = 2/5 of work, Sumati's = (1/2)×(6/5) = 3/5 of work. The Rs 150 is divided in this ratio: Suman gets (2/5)×150 = Rs 60, Sumati gets (3/5)×150 = Rs 90.

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