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
Explanation:
Let the area to be painted = LCM(12, 16) = 48 units.
⇒ Efficiency of Anil = 48/12 = 4 units/day and Efficiency of Barun = 48/16 = 3 units/day
Work done by Anil in 6 days = 6 × 4 = 24 units Work done by Anil in 6 days = 6 × 3 = 18 units ∴ Remaining work done by Chandu = 48 – 24 – 18 = 6 units.
⇒ Payment received by Chandu = 24000/48 × 6 = Rs. 3,000
Alternately, Fraction of work done by Anil in 6 days = 6/12 = ½ Fraction of work done by Barun in 6 days = 6/16 = 3/8
⇒ Fraction of work done by Chandu in 6 days = 1 - ½ - 3/8 = 1/8
Since, Chandu completes 1/8th of the work, he will receive 1/8th of the payment.
∴ Chandu’s payment = 1/8 × 24,000 = Rs. 3,000
Hence, 3000.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.