SSC CGL 20 Aug 2021 Shift 2 Paper

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Question : 74 of 100

Marks: +1, -0

The interest (in ₹) to be paid on a sum of

₹ 30000

at

15 \%

p.a. after

2 \;{2}/{3}

yr. If interest compounded yearly, is

$14362.50$
$12364.50$
$16342.50$
$13642.50$

Solution:

Given,

P=₹ 30000, r=15 \%

t=2 \;{2}/{3} {yr}

We know that,

A=P(1+\;{r}/{100})^{t} ×(1+\;{x}/{y} \;{r}/{100})

\;\; =30000(1+\;{15}/{100})^{2} ×(1+\;{2}/{3} × \;{15}/{100})

\;\; =30000 × \;{115}/{100} × \;{115}/{100} × \;{330}/{300}

\;\; =₹ 43642.5

∴ {Cl}=A-P=43642.5-30000

\;\;\; =₹ 13642.5

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