Problem: Mr. Rahman gets Tk. 12,675 from his investment at the year. He invested Tk. 1,90,000 a part of which at the rate of 7.5% and the rest at the rate of 6% profit. How much money did he invest at the rate of Tk. 7.5% profit?
View all: AB BANK LTD. | PROBATIONARY OFFICER | WRITTEN QUESTION (MATH) SOLVE | 1997
Correct Answer: 85000 TK
Explanation:
Let, Mr. Rahman invested Tk. x at 7 5% profit.
For Tk. 100 Rahman gets Tk. 7.5
For Tk. x Rahman gets Tk. $\frac{7.5x}{100}$
Mr Rahman invested Tk. (190000 —x) at 6%
For Tk. 100 Rahman gets Tk. 6
For Tk. (190000 —x) Rahman gets Tk. $\frac{6(190000)}{100}$
Here we can say,
$\frac{7.5x}{100} + \frac{6(190000)}{100}$= 12675
=> 1.5x = 1267500 — 1140000
=> 1.5x = 127500
So, x = 85000 Tk.