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GMAT - Problem Solving - Arithmetic

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y? 

Given that

when x is divided by y, the remainder is 9

also given x/y = 96.12  ... Eq 2

we can say that

x = 96y + 9

from Eq. 2

(96y + 9) / y = 96.12

96 + 9/y = 96.12

9/y = 0.12

y = 9/0.12 = 75

Given that

when x is divided by y, the remainder is 9

also given x/y = 96.12  ... Eq 2

we can say that

x = 96y + 9

from Eq. 2

(96y + 9) / y = 96.12

96 + 9/y = 96.12

9/y = 0.12

y = 9/0.12 = 75