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6.Interest
medium
Sita deposited $Rs. 5000$ at $10 \%$ simple interest for $2$ years. How much more money (In $Rs.$) will Sita have in her account at the end of $2$ years, if it is compounded semi-annually?
A
$50$
B
$40$
C
$77.50$
D
$85.50$
Solution
Rate $=5 \%, \quad$ Time $=4$ half-years By the Formula
$CI = P \left[\left(1+\frac{ r }{100}\right)^{ t }-1\right]=5000\left[\left(1+\frac{5}{100}\right)^{4}-1\right]=5000\left[\frac{194481}{160000}-1\right]$
$=\frac{5000 \times 34481}{160000}=\operatorname{Rs} .1077 .5$
$SI =\frac{5000 \times 10 \times 2}{100}= Rs \cdot 1000$
Difference $=1077.5-1000= Rs .77 .5$
Standard 13
Quantitative Aptitude
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