An employee deposits certain amount at the rate of 8% per annum and a certain amount at the rate of 6% per annum at simple interest. He earns Rs.500 as annual interest. If he interchanges the amount at the same rates, he earns Rs.50 more. Find the amounts deposited by him at different rates.
Answers
Dear Student,
Answer: The amount deposited at 8% be 2500 rupees.
and that of for 6% be 5000 rupees.
Solution:
Let the amount deposited at 8% be x rupees.
and that of for 6% be y rupees
Simple interest = Principal amount ( rate)(year)/100
8x/100+6y/100 = 500
8x+6y =50000
4x+3y = 25000 ......eq1
For second case when amount interchanged
6x/100+8y/100 = 550
6x+8y=55000
3x+4y = 27,500 ......eq2
add both equation 1 and 2
4x+3y+3x+4y = 25000+27,500
7x+7y = 52,500
x+y = 7,500 .....eq3
Subtract both equation
4x+3y-3x-4y = 25000-27,500
x-y = -2,500 .....eq4
Add equations 3 and 4
x+y+x-y = 7,500-2,500
2x = 5000
x = 5000/2
x = 2500
2,500+y = 7,500
y = 7,500- 2,500
y = 5000
So, the amount deposited at 8% be 2500 rupees.
and that of for 6% be 5000 rupees.
Hope it helps you.
Answer:
hopefully it helps you!!
Step-by-step explanation:
amount at 8% is 2500