CAT 2022 Slot 1 QA Question 16: 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

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

Accepted Answer

Let the amounts invested in the first and second parts be $P$ and $Q$ respectively.
$\dfrac{P 	imes 15 	imes 4}{100} = \dfrac{Q 	imes 12 	imes 3}{100}$
$\Rightarrow 60P = 36Q$
$\Rightarrow 5P = 3Q$
$\Rightarrow P : Q = 3 : 5$
Percentage invested in the first part = $\dfrac{3}{3+5} 	imes 100 = 3

Alex invested his savings in two parts. The simple interest earned on the first part at 15%15\%15% per annum for 444 years is the same as the simple interest earned on the second part at 12%12\%12% per annum for 333 years. Then, the percentage of his savings invested in the first part is

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