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6.Interest
medium
There is $40 \%$ increase in an amount in $8$ years at simple interest. What will be the compound interest. (in rupees) of ₹ $30000$ after $2$ years at the same rate?
A
$6150$
B
$7687.5$
C
$4612.5$
D
$3075$
Solution
(d) Let us assume $P=₹ 100$.
after 8 years Amount $=140 \%(100)=₹ 140$
$\therefore S.I =140-100=40 ₹$
and for 1 year $S.I =\frac{40}{8}=₹ 5$
$R \%=\frac{5}{100} \times 100=5 \%$
$\therefore$ C.I for $₹ 30000, n=2, r=5 \%$
$C.I =30000\left(1+\frac{5}{100}\right)^{2}-30000$
$=$ Rs. 3075
Standard 13
Quantitative Aptitude
