Question

In how many years will ₹ 4,000 amount to ₹ 5,324 at the rate of 10%
per annum compounded annually?​

Answer 1

Step-by-step explanation:

We have P=Rs.4000,A=Rs.5,324 and R=10%

⇒ A=P×(1+

100

R

)

T

⇒ 5324=4000×(1+

100

10

)

T

⇒

4000

5324

=(1+

10

1

)

T

⇒

1000

1331

=(

10

11

)

T

⇒ (

10

11

)

3

=(

10

11

)

T

∴ T=3years.

Answer 2

Given that

• Principal=₹ 4,000
• Amount=₹ 5,324
• Rate=10%

To Find

• Time

$\mathfrak{As\ we\ know\ that}$

$\sf A=P(1+R/100)^n$

$\sf5324=4000(100+10/100)^n$

$\sf5324/4000=(110/100)^n$

$\sf1331/1000=(11/10)^n$

$\sf11³/10³=(11/10)^n$

$\sf(11/10)³=(11/10)^n$

On Comparing Both Sides We Get

$\sf~~~n=3$

$~~~\underline{\boxed{\pink{\bf{Hence\ Time= 3 year's}}}}$