Ashifur August 8, 2023 - 14:34
Problem: A sum of Tk. 2,540 is lent out two parts, one at 12% and another one at 12.5%. If the total annual income is Tk. 311.60, then how much money has been lent at 12%.

View all: IFIC BANK LTD | PROBATIONARY OFFICER | WRITTEN QUESTION SOLVE(MATH) | 2002

Correct Answer: 12 %

Explanation:

Total money = Tk. 2540

Let, x amount money lent out at 12%(2540 — x) amount lent out at 12.5%

At 12%Tk. 100 makes income = Tk. l2

Tk. x makes Income = Tk. $\frac{12x}{100}$

= $\frac{3x}{25}$

At 12.5%,Tk. 100 makes income = Tk. 12.5Tk.

(2540 —x) makes Income = $\frac{12.5 x (2540-x)}{100}$= $\frac{2540-x}{8}$

According to the question,$\frac{3x}{25}$ + $\frac{2540-x}{8}$ = 311.60

=> 24x + 63500 — 25x = 62320

=> – x = 62320 – 63500

x = 1180Tk.

1180 has been lent at 12%.

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