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An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week?

An employer pays 3 workers X, Y and Z a total of Tk. 610 a week. X is paid 125% of the amount Y is paid and 80% of amount Z is paid. How much does X make a week? Correct Answer 200

Let their payments be X, Y and Z respectivey. Now,  X = 125/100 of Y     or,   Y = 100/125 of X = 4X/5 Again,   X = 80/100 of Z    or,   Z = 100/80 of X = 5X/4 Now,   X + Y + Z = 610 or,  X + 4X/5 + 5X/4 = 610 or,  (20X + 16X + 25X) / 20 = 610 or,  61X = 610 × 20 or,  X = 610 × 20 / 61 = 200 TK

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