Question

Solution for a total of `8,600 was invested in two accounts. One account earned 4 3 4 % annual interest and the other earned 6 1 2 % annual interest. If the total interest for one year was â¹431.25, how much was invested in each account? (use determinant method).

Answer 1

Answer:

Rs 7300 & 1300

Step-by-step explanation:

Let say Amount invested in 1st account = Rs 100P

Amount invested in other = 8600 - 100P  Rs

Interest rate in 1 st account = 19/4 %

Interest for 1 year = (100 P  * 19/4)  /100 = 4.75 P

Interest rate in 2nd account = 13/2 %

Interest for 1 year = ((8600 -100P)  * 13/2)  /100 =  559 - 6.5P

Adding both

4.75 P + 559 - 6.5P = 431.25

=> 127.75 = 1.75P

=> P = 73

Amount invested in 1st account = Rs 7300

Amount invested in 2nd account = Rs 1300