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(B) The interest is calculated half-yearly at a rate of $5 \%$ per annum,so the half-yearly rate is $r = 2.5 \% = 0.025$.For the first deposit of ₹ $1

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$121$

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(B) The interest is calculated half-yearly at a rate of $5 \%$ per annum,so the half-yearly rate is $r = 2.5 \% = 0.025$.For the first deposit of ₹ $1600$ made on $1^{st}$ January,it earns interest for two half-yearly periods (one year).Amount after one year for the first deposit $= 1600(1 + 0.025)^2 = 1600(1.025)^2 = 1600(1.050625) = 1681$.For the second deposit of ₹ $1600$ made on $1^{st}$ July,it earns interest for one half-yearly period (six months).Amount after six months for the second deposit $= 1600(1 + 0.025)^1 = 1600(1.025) = 1640$.Total amount at the end of the year $= 1681 + 1640 = 3321$.Total principal deposited $= 1600 + 1600 = 3200$.Total interest earned $= 3321 - 3200 = ₹ 121$.

$A$ bank offers $5 \%$ compound interest calculated on a half-yearly basis. $A$ customer deposits ₹ $1600$ each on $1^{st}$ January and $1^{st}$ July of a year. At the end of the year,the amount (in ₹) he would have gained by way of interest is

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