Question

principal= 55931
Rate =8%
year=2
compound interest ​

Answer 1

Answer:

Step-by-step explanation:

Principal (P) = Rs 156250

Rate (R) = 8% p.a. or 4% half-yearly

Period (n) = 1
2
1
​
years = 3 half-year

Therefore,

Amount (A) = P {1 + (R / 100)}
n


= Rs 156250 {1 + (4 / 100)}
3


On further calculation, we get,

= Rs 156250 × (26 / 25)
3


= Rs 156250 × (26 / 25) × (26 / 25) × (26 / 25)

We get,

= Rs 175760

Hence,

Compound interest = Amount – Principal

= Rs 175760 – Rs 156250

= Rs 19510

Answer 2

$Principal= 55,931$

$Rate =8 \: \%$

$T = 2 \: year$

$A= P (1 + \frac{R}{100} ) ^{T}$

$= 55,931(1 + \frac{8}{100} ) ^{2}$

$= 55,931( \frac{108}{100} ) ^{2}$

$= 55,931 \times \frac{108}{100} \times \frac{108}{100}$

$= \frac{652,379,184}{10,000}$

$= 65,237.91$

$CI = A-P$

$CI = 65,237.91 - 55,931$

$CI = 9,306.91$