CTET 2 Math and Science 7 Jan 2022 Paper

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Question : 40 of 150

Marks: +1, -0

A sum of Rs.

{\x}

amounts to Rs.

18422.25

in

2 \;{1}/{2}

years at

10 \%

p.a., interest compounding annually. What is the value of

{\x}

?

15000
14500
14000
16500

Solution:

For the last

1 \/ 2

year rate of interest

=5 \%

10 \%

of 12 months
So,

5 \%

for 6 months
According to the question,

18422.25= {\x}(1+10 \/ 100)^2 ×(1+5 \/ 100)

⇒ 18422.25= {\x}(1+1 \/ 10)^2 ×(1+1 \/ 20)

⇒ 18422.25= {\x}(11 \/ 10)^2 ×(21 \/ 20)

⇒ 18422.25= {\x} ×(121 \/ 100) ×(21 \/ 20)

⇒ 18422.25=2541 {\x} \/ 2000

⇒ {\x}=18422.25 × 2000 \/ 2541

⇒ {\x}=14500

∴

The value of

x

is

1 4 5 0 0

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