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An employer pays 3 workers X, Y, and Z a total of Tk. 36,600.00 a week. X's paid 125% of the amount Y is paid and 80% of the amount Z is paid. How much does X make a week?

An employer pays 3 workers X, Y, and Z a total of Tk. 36,600.00 a week. X's paid 125% of the amount Y is paid and 80% of the amount Z is paid. How much does X make a week? Correct Answer 12,000

X = 125/100 of Y    or,  Y = 100X/125 = 4X/5 Again,  X = 80/100 of  Z    or,  Z = 100X/80 = 5X/4 Now,  X + Y + Z = 36600 or,  X + 4X/5 + 5X/4 = 36600 or,  (20X + 16X + 25X) / 20 = 36600 or,  61X = 20 x 36600 So,  X = 12000 TK.  

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