Question #232486

1.An investor Nx in bank M at the rate of 6%simple interest per annum and Ny in bank N at the rate of 8% simple interest per annum. If a total of #8,000,000.00 as interest from two banks after 4 years , calculate the (i) values of X and y; (ii) interest paid by the second bank


1
Expert's answer
2021-09-06T12:41:19-0400

Total amount invested 

x+y=8,000,000.00x+y=8,000,000.00

Interest from bank M=x×6100×4=0.24xM = x×\dfrac{6}{100}×4=0.24x


Interest from bank N=y×8100×4=0.32yN = y×\dfrac{8}{100}×4=0.32y


The investor received a total of AA as interest from the two banks after 4 years


0.24x+0.32y=A0.24x+0.32y=A


x+y=8000000x+y=80000000.24x+0.32y=A0.24x+0.32y=A


x=8000000yx=8000000-y0.24(8000000y)+0.32y=A0.24(8000000-y)+0.32y=A


x=8000000yx=8000000-y0.08y=A19200000.08y=A-1920000


x=8000000yx=8000000-yy=12.5A24000000y=12.5A-24000000



x=3200000012.5Ax=32000000-12.5Ay=12.5A24000000y=12.5A-24000000

(i)


x=3200000012.5Ax=32000000-12.5Ay=12.5A24000000y=12.5A-24000000

(ii)


0.32(12.5A24000000)=4A76800000.32(12.5A-24000000)=4A-7680000

Interest paid by the second bank is N(4A7680000).N(4A-7680000).


If A=2,320,000.00,A=2,320,000.00, then


x=3,000,000.00x=3,000,000.00y=5,000,000.00y=5,000,000.00


Interest paid by the second bank is N1,600,000.00.N1,600,000.00.

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