# An amount of ₹ 50

Let these investments be ₹x, ₹y and ₹z, respectively.

Then, x + y + z = 5000 = 358

6x + 7y + 8z = 35800

And, 6x + 7y - 8z = 7000.

Representing in the matrix form,

AX = B R3 – R2 R2 – 6R1 Converting back into the equations we get

X + y + z = 5000

Y + 2z = 5800

- 16z = - 28800

Z = 1800

Y + 2×1800 = 5800

Y = 5800 - 3600

Y = 2200
x + 2200 + 1800 = 5000

X = 5000 – 4000

X = 1000

Amount of 1000 , 2200 , 1800 were invested in the investments of 6% , 7%, 8% respectively.

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