Multiple choice

Krishika and Jaya are making a flower pot at an exhibition for some charity work for Rs. 450. Krishika alone can make it in 4 days, while Jaya individually can make it in 6 days. If they take the help of Chahat, then they can make the pot in 2 days. What would be Chahat's share of the work done?

  1. 70

  2. 75

  3. 80

  4. 85

  5. 90
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Krishika rate = 1/4, Jaya rate = 1/6. Together (K+J+C) rate = 1/2. Chahat rate = 1/2 - (1/4 + 1/6) = 1/2 - 5/12 = 1/12. Chahat's share = (1/12) / (1/2) * 450 = (1/6) * 450 = 75.

AI explanation

The total work is the least common multiple of 4, 6, and 2, which is 12 units. Krishika's rate is 3 units per day, Jaya's rate is 2 units per day, and their combined rate with Chahat is 6 units per day, making Chahat's rate 1 unit per day. Chahat's share of the total work is 1 out of the 6 units produced daily by the team, which is 1/6 of the total work. Therefore, her share of the Rs. 450 payment is 450 multiplied by 1/6, which equals Rs. 75.

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