A bank offers 10% compound interest per half year. A customer deposits Rs. 5200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have profit by way of interest is:

The interest earned on 5200 from Jan to July will be $$5200 \times 10 \times \frac{1}{100}$$ (Since rate of interest is 10 % per 6 months)

= $$52 \times 10 = 520$$

Hence, 5200 will amount to 5720. He adds another 5200 to this. So the net amount becomes 5200 + 5720 = 10920

Now interest earned on this amount in a period of 6 months will be $$10920 \times 10 \times \frac{1}{100} = 1092$$

So the final amount will be 10920 + 1092 = 12012

Total money he deposited = 5200 + 5200 = 10400

Hence, amount earned via interest = 12012 - 10400 = 1612

=> Ans - (B)