₹100000 is split between schemes yielding 10% and 12%. Interchanging the two rates would reduce total profit by ₹120. Find the ratio of investments in the 10% and 12% schemes.
Let investments be x and y. Original profit minus swapped profit is $0.10x+0.12y-(0.12x+0.10y)=0.02(y-x)=120$, so y−x=6000. With x+y=100000, x=47000 and y=53000. Ratio 47:53, D.
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