book Maths Puzzle Numerical Ability

If $10,000 and $4000 are invested such that $1250 is earned in one year, and if the rate of interest on the larger investment is 2% more than that of the smaller investment, find the rates of interest.

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Find an orthogonal basis of the following subspace L = span (v1,v2,v3), where v1=(0,0,1,1), v2=(1,0,1,0), v3=(0,1,-1,-1) when you have an equation like 1/4x+5=28, and you have to find x, how do you get rid of the fraction?