Salimbhai takes 30 hours to saw 9000 cubic feet work by machine in "Dharati Saw Mill" and Junaidbhai takes 45 hours. If both do the same work together and remuneration paid is Rs.3000, how much remuneration will each get?
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Dear Student,
◆ Answer -
Salimbhai = 1800 Rs
Junaidbhai = 1200 Rs
◆ Explanation -
Two workers get a total of 3000 to saw 3000 cu.ft. wood.
Charges = 3000/9000
Charges = 1/3 Rs/cu.ft
Let x cu.ft. be wood cut by Salimbhai, then remaining 9000-x cu.ft. wood will be sawed by Junaidbhai.
Both worked for same time, therefore -
x × 30 = (9000-x) × 45
30x = 405000 - 45x
75x = 405000
x = 405000/75
x = 5400 cu.ft.
Thus, Salimbhai sawed 5400 cu.ft. wood and remaining 9000-5400 = 3600 cu.ft. wood is sawed by Junaidbhai.
Remuneration recieved by Salimbhai is -
Salimbhai = wood sawed × charges
Salimbhai = 5400 × 1/3
Salimbhai = 1800 Rs
Remuneration recieved by Junaidbhai is -
Junaidbhai = wood sawed × charges
Junaidbhai = 3600 × 1/3
Junaidbhai = 1200 Rs
Hope this helps you...
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