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Q.

A trust fund has to invest Rs. 30,000 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, divide Rs. 30,000 among the two types of bonds, if the trust fund must obtain an annual total interest of 2,000 is x, y  respectively then y100 is

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answer is 250.

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Detailed Solution

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If the annual total interest = Rs. 2000 then  (5x+7y100)=(2000)

5x+7y=2000005x+7(30000x)=200000

5x+2100007x=2000002x=10000x=5000  and y = 25000

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A trust fund has to invest Rs. 30,000 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, divide Rs. 30,000 among the two types of bonds, if the trust fund must obtain an annual total interest of 2,000 is x, y  respectively then y100 is