Question

20. Find the amount and the C.I. on
8,000 in
1 1/2 years at 20% per year compounded
half-yearly.​

Answer 1

Answer:

c.i =2648

Step-by-step explanation:

given:-

• P=8000
• n = 1 and 1/2
• R =20%

as per condition

half yearly we calculate half yearly

n = 3/2 x 2= 3

r = 20/2 =10%

$a= p \times (1 + { \frac{r}{100} })^{n} \\ \\ \: \: \: \: = 8000 \times ( {1 + \frac{10}{100} })^{3} \\ \\ \: \: \: \: = 8000 \times \frac{110}{100} \times \frac{110}{100} \times \frac{110}{100} \\ \\ \: \: \: \: \: = 8 \times 11 \times 11 \times 11 \\ \\ \: \: \: = 8 \times 121 \times 11 \\ \\ \: \: \: \: = 121 \times 88 \\ \\ 10648 \\ \\ \: ci = 10648 - 8000 \\ \\ ci = 2648$