Two numbers, m and n, are such that the sum of 4% of m and 6% of n is equal to half of the sum of 7% of m and 14% of n. Determine the ratio of m : n.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2 : 1
4% of m + 6% of n = 1/2 × (7% of m + 14% of n)
0.04m + 0.06n = 1/2 × (0.07m + 0.14n)
0.04m + 0.06n = 0.035m + 0.07n
0.04m – 0.035m = 0.07n – 0.06n
0.005m = 0.01n
m/n = 0.01 / 0.005 = 2/1
Ratio m : n = 2 : 1