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An amount of Rs 5000 is put into three i...

An amount of Rs 5000 is put into three investments at the rate of interest of `6%,7% and 8%` per annum respectively. The total annual income is Rs 358. If the combined income from the first taoinvestments is Rs 70 more than the income from the third, find the amount of each investment by matrirx method

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The correct Answer is:
₹1000,₹2200,₹1800
Let these investment of ₹ x ₹ y and ₹ y and ₹ z respectively .
Then `x+y +z s= 5000`
`(6x)/(100)+(7y)/(100)+(8z)/(100)=358 rArr 6x + 7y + 8z = 35800`
and `(6x)/(100)+(7y)/(100)=(8z)/(100)+ 70 rArr 6x + 7y- 8z = 7000`
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