Question

In what time will Rs 10000 amount to Rs 13,310 at 20% per annum compounded half

yearly?​

Answer 1

ci= p(1+r/100)^n

10000(1+20/100)^n=13310

10000(100+20/100)^n=13310

10000(120/100)^n=13310

(10000*1.20)^n=13310

(12,000)^n=13310

n= 1.109166

Answer 2

Question:

In what time will Rs 10000 amount to Rs 13,310 at 20% per annum compounded half yearly?

Given :-

• Amount = Rs.13310

• Principal = Rs.10000

• Rate of interest = 20%

To find :-

• Time = ?

Solution:-

=>The rate of interest is compounded half yearly.

=> Rate of interest = 10% half yearly.

$\sf {let\:time} = \dfrac{T}{2} years$ (half years)

According to ques :-

$\sf Amount = Principal {( 1+\dfrac{Rate}{100})}^{Time}$

$\sf \implies 13310 = 10000{(1+\dfrac{10}{100})}^T$

$\sf \implies \dfrac{13310}{10000} = \dfrac{11}{10}^T$

$\sf \implies \dfrac{11}{10} ^T = \dfrac{1331}{1000} = \dfrac{11}{10}^3$

$\sf \implies T =$ 3 half years = 1½ years

Therefore, Time = 1½ years.