If Simple Interest is 12.5% more than the principal and number of years(n), rate(r) are numerically in the ratio 2 : 1, then find the values of n, r.

Correct option is D

Given:
Ratio of years(n) : rate(r) = 2 : 1
As we know 12.5% = 1/8
Solution:
Let the principal be 8
Then SI = 9
n = 2x and r = x
Simple Interest = (P × R × T)/100
9 = (8 × x × 2x)/100
16 x2 = 900
x2 = 900/16
x = 30/4
x = 7.5
n = 2x = 7.5 × 2 = 15
r = x = 7.5
Therefore, the correct answer is (d).