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Manan can complete a piece of work in 24 days while Komal can complete it in 40 days. They work together for 8 days and the rest work is completed by Akshay in 7 days. If they get Rs. 2400 for the whole work, find the share of Manan, Komal and Akshay respectively.
Rs. 600, Rs. 700, Rs. 1100
Rs. 800, Rs. 600, Rs. 1000
Rs. 600, Rs. 540, Rs. 1260
Rs. 750, Rs. 450, Rs. 1200
None of these
Let the total work be 120 units. (LCM of 24 and 40) Amount of the work done by Manan in one day =120/24 = 5 units Amount of the work done by Komal in one day = 120/40 = 3 units Amount of the work done by Manan and Komal together in 8 days = 8 × 8 = 64 units Remaining amount of the work = 120 – 64 = 56 units Time taken by Akshay to done 56 units of work = 7 days Amount of the work done by Komal in one day =56/7 = 8 units Ratio of the efficiencies of Manan, Komal and Akshay = 5 : 3 : 8 Share of Manan =5/16 x2400 = Rs. 750 Share of Komal =3/16 x 2400 = Rs. 450 Share of Akshay =8/16 x 2400 = Rs. 1200
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