Question

aamount if 65000 is invested in three investment at the rate of 6%,8%and 9% per annum respectively.the total income is 4800 the income frim third investment is rs.600 more than incom efrom second investment.using matrix algerba, determine the amount of each investments

Answer 1

Answer:

hope it helps u............

Answer 2

Answer:

Step-by-step explanation:

an amount of 65,000 is invested in three bonds at the rates of 6 % , 8 %, and 10% per annum   respectively

amount invested = rs 65000

bond 1   = rs   1000 a

bond 2 = rs   1000 b

bond 3 = 65000 - 1000a - 1000b =   1000(65 - a -b) rs

income from bond 1 = (6/100)* 1000a = 60a rs

income from bond 2 = (8/100) * 1000b = 80b   rs

income from bond 3 = (10/100) * 1000(65-a-b) = 100(65 - a - b)   rs

60a + 80b + 100(65 - a - b) = 4800

=> 40a + 20b = 1700

=> 2a + b = 85   - eq 1

100(65-a-b) = 600 + 80b

=> 100a + 180b = 5900

=> 5a + 9b = 295   - eq 2

9 * eq1 - eq2

13a = 470

=> a = 470/13

2(470/13) + b = 85

=> b = 165/13

first bond = 1000a =   47/13   =   rs 36153.85

second bond = 1000b = 165000/13 = rs 12692.30

bond = 1000( 65 - 470/13 - 165/13) = 21/13 =   rs 16153.85