Question

How long does it takes for a sum of rupees 1289 at 10% simple interest to become 1611.25

Answer 1

Given :

Principal amount = 1289 Rs.

Rate of interest = 10%

Future amount = 1611.25

To Find :

The time period in years.

Solution :

To calculate the simple interest, the formula is,

$A=P(1+rt)$

A = Future amount = 1611.25

P = Principal amount = 1289

r = Rate of interest = $\frac{10}{100}$ = 0.10

Let the time in years represents by 't'.

1611.25 = 1289(1+0.10t)

1 + 0,10t = $\frac{1611.25}{1289}$

0.10t = 1.25 - 1

t = $\frac{0.25}{0,10}$

t = 2.5 years

It will take 2.5 years to become Rs. 1611.25.

Answer 2

Step-by-step explanation:

Principal amount = 1289 Rs.

Rate of interest = 10%

Future amount = 1611.25

To Find :

The time period in years.

Solution :

To calculate the simple interest, the formula is,

A=P(1+rt)A=P(1+rt)

A = Future amount = 1611.25

P = Principal amount = 1289

r = Rate of interest = \frac{10}{100}

100

10

= 0.10

Let the time in years represents by 't'.

1611.25 = 1289(1+0.10t)

1 + 0,10t = \frac{1611.25}{1289}

1289

1611.25

0.10t = 1.25 - 1

t = \frac{0.25}{0,10}

0,10

0.25

t = 2.5 years

It will take 2.5 years to become Rs. 1611.25.