If \(\frac{{0.0015 \times 10m}}{{0.03 \times 10k}}\) = 5\( \times \)107 , then m -k = ?

If \(\frac{{0.0015 \times 10m}}{{0.03 \times 10k}}\) = 5\( \times \)10⁷, then m -k = ?

A 9

B 8

C 7

D 6

Correct Answer: Option A

\(\frac{{0.0015 \times 10m}}{{0.03 \times 10k}}\) = 5\( \times \)10⁷

or \(\frac{{10m}}{{10k}} = 5 \times 107 \times \frac{{0.03}}{{0.0015}}\) or \(\frac{{10m}}{{10k}} = 5 \times 107 \times \frac{{3 \times 100}}{{15}}\)

= 10^m-k = 10⁹ m-k = 9