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20 Aug 2022, 18:02
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Difficulty:
35%
(medium)
Question Stats:
81% (02:47) correct
19%
(02:49)
wrong
based on 37
sessions
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Time
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Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is
A. 3000
B. 5000
C. 6000
D. 6500
E. 8000
(adapted from gmatfree)
A. 3000
B. 5000
C. 6000
D. 6500
E. 8000
(adapted from gmatfree)
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jatin22
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25 Aug 2022, 07:12
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Anil can paint it in 12 days, so in 6 days he paints 1/2 of the house.
Barun can paint it in 16 days, so in 6 days he paints 3/8 of the house.
Chandu does the remaining work, i.e. 1-1/2-3/8 = 1/8 of the house.
Total payment is 24000 so Chandu gets 24000/8 = 3000
Answer is A
Barun can paint it in 16 days, so in 6 days he paints 3/8 of the house.
Chandu does the remaining work, i.e. 1-1/2-3/8 = 1/8 of the house.
Total payment is 24000 so Chandu gets 24000/8 = 3000
Answer is A
25 Aug 2022, 09:35
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pintukr
Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is
A. 3000
B. 5000
C. 6000
D. 6500
E. 8000
(adapted from gmatfree)
Find Chandus rate: A. 3000
B. 5000
C. 6000
D. 6500
E. 8000
(adapted from gmatfree)
\(\frac{1}{12}\)+\(\frac{1}{16}\)+\(\frac{1}{X}\)=\(\frac{1}{6}\)
X= 48
Time of Anil:Barun:Chandu = 12:16:48
The ratio of their portion of work = 4:3:1 (Find LCM of 12,16,48 and divide by individual times to find the work portion)
Chandu's amount = \(\frac{1}{8}*24000\) = 3000
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
