Question

i lent rupees 4000 for 9 months at 12% p.a . If C.I is reckoned quarterly what will i get after 9 months​

Answer 1

Answer:

6%

Step-by-step explanation:

4000, Time = 9 months = 3 quarters. The rate is 6% per annum but the interest has to be paid 4 times a year, i.e., Rate = 6 % per annum = 6/4 % per quarter.

Answer 2

$Principal (P) = Rs \: 4000 ,$

$Time (T) = 9 \: months$

$Rate \: of \: Interest (R) = 12\% \: per \:annum$

$Let \: Amount = A$

/* We know that, */

$\blue{ When \: interest \: is \: Compounded }$

$\blue{ Quarterly }$

$\boxed{ \pink{ A = P\Big( 1 + \frac{\frac{R}{4}}{100} \Big)^{4n}}}$

$A = 4000\Big( 1 + \frac{\frac{12}{4}}{100}\Big)^{3}$

$= 4000\Big( 1 + \frac{3}{100}\Big)^{3}$

$= 4000\Big( \frac{100+3}{100}\Big)^{3}$

$= 4000\Big( \frac{103}{100}\Big)^{3}$

$= Rs \: 4370.908$

Therefore.,

$\red { Amount \: he \: will \: get }\green { = Rs \: 4370.908}$

•••♪