Problem: Someone plans to invest x taka in the bond of ‘M’ company, which pays 10% interest and y taka in ‘N’ company bonds, which pay 9% interest. He will invest 9,000 taka require that he receives 850 take as interest. How much should be invest in each company?
View all: SONALI & JANATA BANK LTD (SO) IT WRITTEN QUESTION (MATH) SOLVE | 2018
Correct Answer: He will invest 4.000 Tk. in company ‘M’ and (9,000 – 4.000) = 5.000 Tk. in company ‘N
Explanation:
Let. He invested Tk. x in company ‘M’ at 10%
In ‘N’ Company, he invested tk. (9.000 -x) at 9%
We kaow, I = P×r×n100
The amount of interest at 10% of Tk. x =x×10×110=x10 tk
And the amount of interest at 9% of Tk. (9.000 -x)=9(9000−x)100
According to question. x10+9(9000−x)100= 850
=> 10x+81000−9x100 = 850
=> x+81,000 = 85,000
=> x = 85,000-81,000
so, x = 4,000
He will invest 4.000 Tk. in company ‘M’ and (9,000 – 4.000) = 5.000 Tk. in company ‘N