cat 2022 Question 16

Question

Alex invested his savings in two parts. The simple interest earned on the first part at 15% per annum for 4 years is the same as the simple interest earned on the second part at 12% per annum for 3 years. Then, the percentage of his savings invested in the first part is

Accepted Answer

Let the savings invested in first part and second part be 'x' and 'y', respectively.

It is given,

$\frac{x imes 15 imes 4}{100} = \frac{y imes 12 imes 3}{100}$

60x = 36y

5x = 3y

Required percentage = $\frac{x}{x + y} imes 100 = \frac{3}{3 + 5} imes 100 = 37.5%$

Question 16.

Question Explanation