22(frac{1}{2})% of the Nigerian Naira is equal to 17(frac{1}{10})% of a foreign currency M. What is the conversion rate of the M to the Naira?

A.
1M = 1(frac{15}{57})N 
B.
1M = 38(frac{1}{4})N 
C.
1M = 1(frac{18}{57})N 
D.
1M = 384(frac{3}{4})N
Correct Answer: Option C
Explanation
N = 22(frac{1}{2})%, M = 17(frac{1}{10})%
M = (frac{171}{10})%, N = (frac{45}{2})
(frac{45}{2}) x (frac{10}{171})
= (frac{225}{171})
= 1 (frac{54}{171})
= 1 (frac{18}{57})