Shashikant derives an annual income of rs 688.25 from rs 10000 invested partly at 8% per annum and partly at 5% per annum simple interest how much of his money is invested at 5% ?
Answers
Answer:
Rs 3725
Step-by-step explanation:
Let say Rs x is invested at 5% per annum interest rate
Total amount invested = Rs 10000
Amount invested at 8% per annum interest rate = 10000 - x Rs
Interest at 5 % rate on Rs x = x * 5 * 1 / 100 = 5x/100 Rs
Interest at 8% rate on 10000 -x Rs = (10000-x) * 8 * 1 / 100 = (80000 - 8x)/100
Total interest = Rs 688,25
5x/100 + (80000-8x)/100 = 688.25
Multiplying by 100 both sides
=> 5x + 80000 - 8x = 68825
=> -3x = 68825 - 80000
=> -3x = - 11175
dividing by -3 both sides
=> x = 3725
Rs 3725 was invested at 5 %
Answer:
Step-by-step explanation: 5%of x + 8% on (10000 - x) = 688.25
0.05x + 0.08 (10000 - x)
0.05x + 800 - 0.08x = 688.25
800 - 688.25 = 0.03x
111.75 = 0.03x
x = 11175 / 3
x = 3725