Question

₹156250 for 1 1/2 years at 8% p. a. compounded half yearly... calculate the compound interest​

Answer 1

Step-by-step explanation:

Principal (P) = Rs 156250

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

Period (n) = 121years = 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

Answer:

19510

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