Quant Exam  >  Quant Questions  >  Kiran can do a work in 20 days, while Karan c... Start Learning for Free
Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?
  • a)
    200
  • b)
    400
  • c)
    100
  • d)
    300
  • e)
    500
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Kiran can do a work in 20 days, while Karan can do the same work in 25...
Efficiency of Kiran = 5%
Efficiency of Karan = 4%
They will complete only 90% of the work = [(5+4)*10] = 90
Remaining work done by Suman = 10%.
Share of Suman = 10/100 * 1000 = 100
Free Test
Community Answer
Kiran can do a work in 20 days, while Karan can do the same work in 25...
Given data:
Kiran's efficiency = 1/20 per day
Karan's efficiency = 1/25 per day
Time taken by both to complete the work together = 10 days
Total amount paid = Rs. 1000

Let's assume Suman's efficiency as x units of work per day.

Calculation:
Let's calculate the total work to be done by them:
Kiran's 1 day work = 1/20
Karan's 1 day work = 1/25
(Kiran + Karan)'s 1 day work = 1/20 + 1/25 = 9/100
(Kiran + Karan)'s 10 day work = 9/100 * 10 = 9/10

Let's assume Suman joined after 'd' days. So, Kiran and Karan worked for 'd' days and all three worked together for (10-d) days.

Total work = Work done by Kiran and Karan + Work done by all three
1 = (d/20 + d/25) + (10-d)(9/100 + x)
1 = (5d + 4d)/100 + (9/10 - 9d/100 + 10x/100)
1 = (9d + 40x - 9)/100
9d + 40x = 109

We have one equation and two variables, so we need another equation.
Let's calculate the total amount paid to them:
Kiran's 10 day work = 1/20 * 10 = 1/2
Karan's 10 day work = 1/25 * 10 = 2/5
Suman's 10 day work = x * 10
Total work = 1/2 + 2/5 + 10x = 1
10x = 1/10
x = 1/100

Substituting x value in the first equation:
9d + 40(1/100) = 109
9d = 105
d = 35/3

Suman worked for (10 - 35/3) = 5/3 days
Suman's share = 5/3 * (1/100) * 1000 = Rs. 100

Therefore, the share of Suman is Rs. 100.
Explore Courses for Quant exam

Similar Quant Doubts

Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer?
Question Description
Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer?.
Solutions for Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Kiran can do a work in 20 days, while Karan can do the same work in 25 days. They started the work jointly. Few days later Suman also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.1000. What is the share of Suman?a)200b)400c)100d)300e)500Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev