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6.Interest
medium
The compound interest on a certain sum for $2$ years at $12 \%$ per annum, compounded annually is $Rs. 1272$. The simple interest (In $Rs.$) for that sum at the same rate and for the same period will be?
A
$1296$
B
$1196$
C
$1220$
D
$1200$
Solution
Here, $CI = Rs .1272, t =2$ years, $r =12 \%$
By the Formula
$\Rightarrow CI = P \left[\left(1+\frac{ r }{100}\right)^{ t }-1\right] \Rightarrow 1272= P \left[\left(1+\frac{12}{100}\right)^{2}-1\right]$
$\Rightarrow 1272= P \left[\left(\frac{112}{100}\right)^{2}-1\right] \Rightarrow 1272= P \times 0.2544$
$\Rightarrow P = Rs .5000 \Rightarrow Now , SI =\frac{ P \times r \times t }{100}$
$\Rightarrow SI =\frac{5000 \times 12 \times 2}{100}$
$\therefore \quad SI = Rs .1200$
Standard 13
Quantitative Aptitude
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