Question

divide 2500 into two part such that the simple interest on one at 4% for 5 years is double that on the other at 5% for 3 years

Answer 1

Part 1: x

Part 2: (2500-x)

x* 4 * 5 = (2500-x) * 5 * 3

Solve for x.

x = 1500

Part 1: 1500

Part 2: 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%✅