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A trust has Rs. 60,000 that must be inve...

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.

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Let Rs. X are invested in the type of bonds and (60000-x) are invested in the second type of bonds, then the matrix
`A=[x" "60000" "-x]` represents investment and matrix `B={:[((10)/(100)),((12)/(100))]:}` represents the rates of interest.
Total income `=AB=[x" "60000-x]{:[((10)/(100)),((12)/(100))]:}=[6400]`
`:.x=40000`
Ans investment in second bond `=60000-40000=20000`
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