If (0015×10m) / (03×10k)=5×107, then find out the value of m-k.

If (0015×10^m) / (03×10^k)=5×10⁷, then find out the value of m-k.

A 9

B 10

C 4

D 5

Solution

Correct Answer: Option A

(0.0015/0.03) * (10m /10k) = 5×107

or, (5 * 10-2) * (10m-k) = 5×107

or, (10-2) * (10m-k) = 107

or, m-k-2 = 7

or, m-k = 9