Question : A bank offers 15% compound interest per half year. A customer deposits Rs. 2400 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:
Option 1: Rs. 2268
Option 2: Rs. 1134
Option 3: Rs. 567
Option 4: Rs. 283
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Correct Answer: Rs. 1134
Solution :
We know,
$\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$
At end of 6 months amount = $2400×(1+\frac{15}{100})=2400×(1.15)=2760$
The principal at the end of 6 months = $2760+2400=5160$
Amount = $5160×(1+\frac{15}{100})=5160×(1.15)=5934$
$\therefore$ Interest = $5934-(2400+2400) = 1134$
Hence, the correct answer is Rs. 1134.
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