Ashifur August 8, 2023 - 18:56
Problem: A certain sum of money amounts to Tk. 1,008 in 2 years and to Tk. 1,164 in 3$\frac{1}{2}$ years. Find the sum and the rate of interest.

View all: PUBALI BANK OFFICER (SO|OFFICER) | WRITTEN QUESTION (MATH) SOLVE | 2016

Correct Answer: ans: The amount of sum is Tk. 800 & the interest is 13%.

Explanation:

In 3$\frac{1}{2}$ years, the amount will be = 1,164 Tk.

1n 2 years, the amount will be = 1,008 Tk.

In 1$\frac{1}{2}$ years, the amount will be = 156 Tk.

In 1 year the amount will be = $\frac{156}{\frac{3}{2}}$ Tk.

In 2 years, the amount will be = $\frac{156×2}{\frac{3}{2}}$ = 208 TK

The principal is = 1,008 – 208 = 800 Tk.

The interest of Tk. 800 in 2 years is = 208 Tk.

The interest of Tk. 1 in 1 year is = $\frac{208}{800\times 2}$ TK

The interest of Tk. 100 in 1 year is = $\frac{208\times 100}{800\times 2}$ = 13 TK

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