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: PRIME BANK(AB) | WRITTEN QUESTION (MATH) SOLVE | 1996

Correct Answer: ans: 85,000 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 $\frac{6(190000-x)}{100}$

Here we can say,

$\frac{7.5x}{100}$+ $\frac{6(190000-x)}{100}$=12675

=>$\frac{7.5x+1140000-x}{100}$=12675

=>1.5x = 1267500 -1140000

=>1.5x: = 127500so, x = 85000 Tk.

x = 85000 Tk.

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