A bank offers 20% compound interest per half year. A customer deposits Rs 7600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained from interest is

The interest earned on 7600 from Jan to July will be $$7600 \times 20 \times \frac{1}{100}$$ (Since rate of interest is 5 % per 6 months)

= $$76 \times 20 = 1520$$

Hence, 7600 will amount to 9120. He adds another 7600 to this. So the net amount becomes 9120 + 7600 = 16,720.

Now interest earned on this amount in a period of 6 months will be $$16720 \times 20 \times \frac{1}{100} = 3344$$

So the final amount will be 16720 + 3344 = 20064

Total money he deposited = 7600 + 7600 = 15200

Hence, amount earned via interest = 20064 - 15200 = Rs. 4864

=> Ans - (C)