A trust fund has Rs. 50,000 that is to be invested in two types of bonds .The first and second bonds respectively pay annual interest at the rate of `5%` and `6%` respectively .Using matrix multiplication , determine how to invest the money in these bonds so as to get a total annual interest of Rs. 2780 .

A trust fund has Rs. 35000 is to be invested in two different types of bonds .The first bond pays 8% interest per annum which will be given to orphanage and second bond pays 10% interest per annum which will be given to an NGO (Cancer Aid Society) Using matrix multiplication , determine how to divide Rs. 35000 among two types of bonds , if the trust fund obtains an annual total interest of Rs. 3200 .

Use matrix multiplication to divide Rs.30000 in two parts such that the total annual interest at 9% on the first part and 11% on the second part amounts Rs. 3060 .