# Question #57106

Feb 19, 2018

Rs.15918/-

#### Explanation:

Interest charges quarterly means 4 times in a year.

So, r = 8/4 = 2. n = 9/12 years = 3/4 years. p = 15,000/-.

We know, A = $P {\left(1 + \frac{r}{100}\right)}^{n}$ [ A means principal + Interest]

$\Rightarrow A = 15000 {\left(1 + \frac{2}{100}\right)}^{4 \times \frac{3}{4}}$
$\Rightarrow A = 15000 {\left(\frac{51}{50}\right)}^{3}$
$\Rightarrow A = 15000. \frac{51}{50.} \frac{51}{50.} \frac{51}{50}$
$\Rightarrow A = 15 , 918.12 = 15 , 918$

She has to pay Rs. 15,918/- at the end of 9 months.