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22\(\frac{1}{2}\)% of the Nigerian Naira is equal to 17\(\frac{1}{10}\)% of a foreign ...

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?
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  • 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 \(\frac{18}{57}\)

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