Question

Kavita borrowed rs.57600 from a bank at a rate of 12.5% per annum to construct a house. Find the amount that she pays to the bank after one and half years if interest is calculated half yearly

Answer 1

$\large{\underline{\underline{\sf \purple{Question:-}}}}$

Kavita borrowed Rs.57600 from a bank at a rate of 12.5% per annum to construct a house. Find the amount that she pays to the bank after one and half years if interest is calculated half yearly.

$\large\underline{\underline{\sf \pink{Given:-}}}$

• Kavita borrowed Rs.57600 from a bank
• Rate of 12.5% per annum

$\large\underline{\underline{\green{\sf To \: \: Find:-}}}$

• interest is calculated half yearly.

$\large\underline{\underline{\sf \purple{Solution:-}}}$

$\large♣ \sf \: Formula \longrightarrow \large \boxed{ \sf \: A=P \bigg( 1+ \large\frac{R}{200}\bigg) {}^{2n} }$

$\large \longrightarrow\sf A= 57600 \bigg( 1+\frac{12.5}{200}\bigg)^{2n}$

$\longrightarrow \sf \: A=57600 \: \big( 1.0625 \big)^3$

$\large \sf \: A=Rs. \bf \: 69089.06$

Answer 2

$Given, \: \\ P = Rs57600 \\ R= 12.5\% \\ N = 1.5 \: years \\ When \: the \:interest \: is \: compounded \: half - yearly \\ We \: have, \\ A = P(1 + \frac{R}{200})2n \\ A = 57600(1 + \frac{12.5}{200})3 \\ A = 57600(1.0625)3 \\ A = Rs69089.06 \\ thus \: the \: required \: amount \: is \: Rs69089.06$