Question

The sum of money became 692 in 2 years and 800 in 5 years then the principle amount is

Answer 1

Answer:

Int.for 3 yrs=800-692 = 102

Int for one yr=102/3 = 34

Int.for 2 yrs=34x2 =68

Principal amt=692-68=Rs.624

Answer 2

The principle amount is 620.

Step-by-step explanation:

Given:

The sum of money became 692 in 2 years.

The sum of money became 800 in 5 years.

To Find:

The principle amount.

Formula used:

In case of Simple interest

$K_{n} =M+(n\times I)$     --------------- formula no.01.

Where

​$K_{n}$ = sum  for  n nos. of  years

M= principal  amount

n= no. of years

I=simple interest

Solution:

As given,the sum of money became 692 in 2 years.

$K_{2}$ =692       and  I =2 years

Applying the formula no.01.

$K_{2} =M+(2\times I)$

$692=M+2 I$  ------------- equation no.01.

As given,the sum of money became 800 in 5 years.

$K_{5}$ =800       and  I =5 years

Applying the formula no.01.

$K_{5} =M+(5\times I)$

$800 =M+5I$  ------------ equation no. 02.

Subtracting equation no.01 from  equation no.02, we get.

$108=3I$

$I=36$

Putting the I=36 in equation no.02, we get.

$800 =M+5\times36$

$800 =M+180$

$M=600-180$

$M=620$

Thus, the Principle amount is 620.

PROJECT CODE#SPJ2