Question 54

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?

Solution

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.

$$\frac{x\times\ 6\times\ 2}{100}\ =\ 2\times\left(\frac{y\times\ 9\times\ 3}{100}\right)$$

$$\frac{x\times\ 6\times\ 1}{100}\ =\frac{y\times\ 9\times\ 3}{100}$$

6x = 27y

2x = 9y

x = 4.5y

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