Hi, there. I'm happy to help.
First a few terms. The
dividend is the number being divided, and the
divisor is what we divide by. In this problem, x is the dividend and y is the divisor. The general formula for division is:
(divididend)/(divisor) = quotient + [(remainder}/(divisor)]
When the result of division is a decimal, the integer part is the quotient, and the decimal part is the (remainder}/(divisor).
Here, x/y = 96.12, so 96 is the quotient, and 0.12 is the remainder/divisor.
0.12 = 9/x
0.12*x = 9
x = 9/0.12 = 900/12 = 300/4 = 75
So, x equals 75, answer =
B.
Here's a free lesson on divisibility that you may find helpful:
https://gmat.magoosh.com/lessons/301-divisibility
Here's a related practice question:
https://gmat.magoosh.com/questions/873
When you submit your answer, the following page will have the video explanation. Each of our 800+ GMAT practice questions has its own video explanation, for accelerated learning.
I hope all that helps. Let me know if you have any further questions.
Mike
