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6.Interest
medium
A bank offers $5 \%$ compound interest calculated on half-yearly basis. A customer deposits $Rs. 1600$ each on $1^{st}$ January and $1^{st}$ July of a year. At the end of the year, the amount (In $Rs.$) he would have gained by way of interest is
A
$120$
B
$121$
C
$122$
D
$123$
Solution
Here, CI is calculated on half-yearly basis
Hence, Amount would be defined as:
$A=\left[1600\left(1+\frac{5}{2 \times 100}\right)^{2}+1600\left(1+\frac{5}{2 \times 100}\right)\right]$
$\left(\right.$ Where Rate $\left.=\frac{\text { Rate }}{2}=\frac{5}{2} \%\right)$
$A = Rs \cdot\left[1600 \times \frac{41}{40}\left(\frac{41}{40}+1\right)\right]= Rs .3321$
$C I=A-P=R s \cdot(3321-3200)=R s .121$
Standard 13
Quantitative Aptitude
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