Use matrix multiplication to divide Rs. 30,000 in two parts such that the total annual interest at 9% on the first part and 11% on the second part amounts Rs. 3060

Divide Rs 351 into two parts such that one may be to the other as 2: 7.

A trust has Rs. 60,000 that must be invested in two different types of bonds. The first type of bond pays 10% interest per year and the second type pays 12% . Using matrix multiplication, determine how to invest Rs. 60,000 into two types of bonds so that the total annual interest received is Rs. 6400.

Divide 3600 into two parts such that if one part is lent at 9% p.a. and the other at 10% per annum the total income from interest is 333.

Find the amount of Rs 12500 for 2 years compound annually, the rate of interest being 15% for the first year and 16% for the second year.

A trust fund has Rs. 35,000 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 N.G.O. (Cancer Aid Society). Using matrix multiplication, determine how to divide Rs. 35,000 among two types of bonds if the trust fund obtains an annual total interest of Rs. 3,200. What are the values reflected in this question ?

Find the amount of 36,000 after 2 years, compounded annually, the rate of interest being 10% for the first year and 12% for the second year.

A certain amount has been divided into two parts in the ratio 4 : 7 . If the first part is ₹ 600, find the second part and

Divide Rs1,870 into three parts in such a way that half of the first part, one-third of the second part and one-sixth of the third part are all equal.

Divide ₹1550 into two parts such that if one part is lent out at 15% p.a. and the other at 24% per annum, the total yearly interest income is ₹300 .

A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of:(a) Rs 1800 (b) Rs 2000