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6.Interest
hard
A man gets a simple interest of $Rs. 1000$ on a certain principal at the rate of $5$ $p.c.p.a.$ in $4$ years. What compound interest (In $Rs.$) will the man get on twice the principal in two years at the same rate?
A
$1050$
B
$1005$
C
$1025$
D
$125$
Solution
Principal $=\frac{1000 \times 100}{4 \times 5}= Rs .5000$
$\therefore$ Required $CI =10000\left[\left(1+\frac{5}{100}\right)^{2}-1\right]$
[Principal is double of original one]
$=10000\left[\frac{441-400}{400}\right]=10000 \times \frac{41}{400}= Rs .1025$
Standard 13
Quantitative Aptitude
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