Management Aptitude Test Dec 2019 Paper

Question : 111 of 200

Marks: +1, -0

A person invests money in three different schemes for 5 yr, 10 yr and 15 yr at

8 \%, 10 \%

and

12 \%

simple interest, respectively. At the completion of each scheme, he gets the same interest. The ratio of his investments is

Solution:

Let the required ratio be

x: 1: y

. Then,

{\SI}

₹ x

for

5 {\yr}

8 \%

per annum

={\SI}

₹ 1

for

10 {\yr}

10 \%

per annum

⇒{x ×5 × 8}/{100}={1 × 10 × 10}/{100}

⇒x={100}/{40}={5}/{2}

{\SI}

₹ 1

for

10 {\yr}

10 \%

per annum

={\SI}

₹ {y}

for

15 {\yr}

12 \%

per annum

⇒({1 × 10 × 10}/{100})=({y ×15 × 12}/{100})

⇒y={100}/{180}={5}/{9}

∴ Required ratio

=x: 1: y={5}/{2}: 1: {5}/{9}

=45: 18: 10

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