Question

in what time rs. 20,000 invested at 10% p.a. compounded half yearly will amount to rs.23,152.50 ?​

Answer 1

Answer:

Principal = Rs.20000

Time =

Rate of interest = 10%

No. of compounds per year = 2

Formula :

Amount = 23152.5

Compound interest = Amount - Principal = 23152.5  - 20000=Rs.3152.5

Hence The amount and the compound interest on rs 20000 for 3/2 years at 10 percent per annum compounded half-yearly are Rs.23152.5  and Rs.3152.5  respectively.

#Learn more:

Find the amount and the compound interest on rs 160000 for 2 years at 10% per annum compound half years

Answer 2

Answer:

18months

Step-by-step explanation:

Formula used:

A = P ( 1 + r/2 )²ⁿ

where, P = principal

r = rate in percent p.a.( per annum i.e. annually)

n = number of years.

here, P = Rs. 20000, r = 10% , A = Rs. 23152.50

=> 23152.50 = 20000 ( 1 + 10%/2)²ⁿ

=> 23152.50 / 20000 = ( 1 + 5%)²ⁿ

=> 23152.50 / 20000 = (105/100)²ⁿ

=> 2.31525/2 = (1.05)²ⁿ

=> 1.157625 = (1.05)²ⁿ

=> (1.05)³ = (1.05)²ⁿ

=> 3 = 2n

=> n = 3/2 years

=> n = (3*12) / 2 months

=> n = 36/2 = 18months