CAT 2022 Slot 1 Paper

Question : 64 of 66

Marks: +1, -0

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

$37.5%$
$62.5%$
$60%$
$40%$

Validate

Solution:

Let the savings invested in first part and second part be '

x

' and '

y

', respectively.
It is given,

{x × 15 × 4}/{100}={y × 12 × 3}/{100}

60 x=36 y

5 x=3 y

Required percentage

={x}/{x+y} × 100={3}/{3+5} × 100=37.5 \%

The answer is option

{\A}

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