A bonus amount of Rs.310000 is divided among 6 architects, 8 engineers and 12 associates, such that each architect gets 20% more than each of the engineer and each engineer gets 25% more than each associate. How much money do each of architects, engineers and associates get?
Rs. 10000, Rs. 12500, Rs. 15000
Wrong
Rs. 16000, Rs. 13500, Rs. 10000
Wrong
Rs. 18000, Rs. 12000, Rs. 90000
Wrong
Rs. 15000, Rs. 12500, Rs. 10000
Correct
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Let each associate get x.
Then engineer gets 1.25 * x
Then architect gets 1.2 * 1.25 * x
Now,
12 Associates get 12 * x
8 Engineers get 8 * 1.25 * x
6 Architects get 6 * 1.2 * 1.25 * x
Total = 12x + 10x + 9x = 31x = 310000
=> x = 10000
Each Associate = x = 10000
Each Engineer = 1.25 * 10000 = 12500
Each Architect = 1.2 * 1.25 * 10000 = 15000
Therefore Architect, Engineer and Associate respectively get Rs. 15000, Rs. 12500, Rs. 10000
Then engineer gets 1.25 * x
Then architect gets 1.2 * 1.25 * x
Now,
12 Associates get 12 * x
8 Engineers get 8 * 1.25 * x
6 Architects get 6 * 1.2 * 1.25 * x
Total = 12x + 10x + 9x = 31x = 310000
=> x = 10000
Each Associate = x = 10000
Each Engineer = 1.25 * 10000 = 12500
Each Architect = 1.2 * 1.25 * 10000 = 15000
Therefore Architect, Engineer and Associate respectively get Rs. 15000, Rs. 12500, Rs. 10000
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