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6.Interest
medium
If the compound interest on a certain sum of money for $3$ years at $5 \,%$ p.a. is $Rs. 504.40$ , find the corresponding simple interest. (In $Rs.$)
A
$329.24$
B
$384.78$
C
$435.45$
D
$480.00$
Solution
Here, $CI = P \left[\left(1+\frac{ R }{100}\right)^{3}-1\right]$
$\Rightarrow \quad 504.40= P \left[\left(1+\frac{5}{100}\right)^{3}-1\right]$
$\Rightarrow \quad 504.40= P \left[\left(\frac{21}{20}\right)^{3}-1\right] \Rightarrow 504.40= P \left[\frac{1261}{8000}\right]$
$\Rightarrow P ($ Principal $)= Rs .3200$
$\Rightarrow SI =\frac{ P \times R \times T }{100}=\frac{3200 \times 5 \times 3}{100}= Rs .480$
Standard 13
Quantitative Aptitude
