If the simple interest on a sum of ₹x at 6 % p.a. for two years is double the simple interest on another sum of ₹y at 9% per annum for three years, then which of the following is true?

x = 4.5y

We know ,

Simple Interest = \(\frac{Principal ×Rate × Time }{100}\)

ATQ,

\(\frac{x×6× 2 }{100}\) = 2× \(\frac{y × 9 × 3 }{100}\)

12x = 54y

x = 4.5y