Problem: Mr. Karim deposited a certain amount of money for a fixed period of time. On maturity, he received a total of Tk. 45,000 when the ratio of interest and investment became 2: 5. If the interest rate was 3.6%, calculate the time period for which the money was invested.
View all: BANGLADESH DEVELOPMENT BANK LTD (SO) | ARTS (DU) WRITTEN QUESTION (MATH) SOLVE | 2018
Correct Answer: 11.11.yrs.
Explanation:
Let, Here, Interest, I = 2x
Investment, P = 5x
R = 3.6 %
T =?
Total amount = 2x + 5x = 7x
According to the question,73x = 45000
=> x $\frac{45000}{7}$
=> x = 6428.57
Investment, P = 5x = 5 X 6428.57 = 32142.85 Tk
Interest, I = 2x = 2 X 6428.57 = 12857.14Tk
Time, T = $\frac{100\times 1}{PR}$= $\frac{100\times 12851.14}{32142.85\times 3.6}$
= 11.11 yrs