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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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 \(\frac{18}{57}\)
Source: Myschool Past Questions Archive (Record #32218)