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6.Interest
medium
The sum for $2$ years gives a compound interest of ₹ $3225$ at the rate of $15 \%$ per annum the amount is (In ₹)
A
$10000$
B
$20000$
C
$15000$
D
$32250$
Solution
(a) $C . I =3225, n =2, r =15 \%$
$\begin{aligned} C.I &= P \left[1+\frac{ r }{100}\right]^{ n }- P \\ 3225 &= P \left[1+\frac{15}{100}\right]^{2}- P \\ 3225 &=1.3225 P – P \\ \therefore & 0.3225 P =3225 \\ P &= Rs .10,000 \end{aligned}$
Standard 13
Quantitative Aptitude