Question

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Answer 1

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

Answer 2

Answer:

18 months

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