Question

In what time will Rs.3,90,625 amount to

Rs.4,56,976 at 8% per annum, when the interest

is compounded semi-annually?

[Given : (1.04)4

= 1.16986]

a) 2 years b) 4 years

c) 5 years d) 7 years​

Answer 1

QuestioN :

In what time will Rs.3,90,625 amount to  Rs.4,56,976 at 8% per annum, when the interest  is compounded semi-annually?

GiveN :

• Time = Rs.3,90,625
• Amount = Rs.4,56,976
• Percentage = 8 %

To FiNd :

• the interest  is compounded semi-annually?

ANswer :

The interest  is compounded semi-annually is 4 years.

SolutioN :

$\sf \implies p(1+\dfrac{\beta }{100})^t=A$

$\sf \implies 390625\left[\begin{array}{ccc}1+\dfrac{8}{100}\end{array}\right] ^t=456976$

$\sf \implies \left[\begin{array}{ccc}1+\dfrac{8}{100}\end{array}\right]^t =\dfrac{4,56,976}{3,90,625}$

$\sf \implies \left[\begin{array}{ccc}\dfrac{26}{25}\end{array}\right] ^8$

$\sf \implies \left[\begin{array}{ccc}\dfrac{26}{25}\end{array}\right] ^t = \left[\begin{array}{ccc}\dfrac{26}{25}\end{array}\right] ^4$

$\sf \implies t = 4$

∴Hence, the interest  is compounded semi-annually is 4 years.

_________________________

Note: If you are not able to see the answer properly then Kindly view the answer from website by the given link↓↓↓

brainly.in/question/39990767

Answer 2

Answer:

Option B. 4 years