Question

divide 2500 into two parts such that the simple interest on of at 4% of 5 yrar double that of the Other at 5% per year 3 years

Answer 1

let X and 2500-X are two part of 2500

now according to question

X x 4 x 5/100=2 {(2500-X) x 5 x 3}/100

X/5= 3/10 (2500-X)

X/5+3/10X=750

X/2=750

X=1500 and (2500-X)=1000

Answer 2

Given :

The simple interest on of at 4% of 5 yrar double that of the Other at 5% per year 3 years

To Find :

divide 2500 into two parts

Solution:

Let x be the amount lent on 4%

So, (2500-x) is the amount lent on 5%

Case 1:

Principal = x

Rate of interest =4%

Times =5 year

$Si = \frac{P \times T \times R}{100}\\Si=\frac{x \times 5 \times 4}{100}\\Si=\frac{20x}{100}\\Si=\frac{x}{5}$

Case 2:

Principal = 2500-x

Rate of interest = 5%

Time = 3 years

$Si = \frac{P \times T \times R}{100}\\Si=\frac{(2500-x) \times 3 \times 5}{100}$

We are given the simple interest on of at 4% of 5 yrar double that of the Other at 5% per year 3 years

So,$\frac{x}{5}=2\frac{(2500-x) \times 3 \times 5}{100}\\\frac{x}{10}=\frac{(2500-x) \times 3 \times 5}{100}\\x=1500$

So,the amount lent on 5% = 2500-x=2500-1500=1000

So, Rs.1500 is the amount lent on 4% and Rs.1000 is the amount lent on 5%