Problem: A trader bought 65 meter cloth & sold 20 meter at a profit 15% ,30 meter at a profit of 19% &the rest at a profit of 25%. In total he made a profit of Tk. 498. What was hispurchase price of per meter of cloth?

View all: ISLAMI BANK(AB) | WRITTEN QUESTION (MATH) SOLVE | 1995

Correct Answer: ans: The price of per meter cloth is Tk. 40

Explanation:

Let, the price of per meter cloth is Tk. x

The price of 20 meter cloth= Tk.20x

The price of 30 meter cloth=Tk.30x

So, the price of=(65 – 20 — 30)meter=15 meter cloth=Tk.15x

At 15% profit,Tk. 100 Provides profit = Tk.15

Tk.20x Provides profit = $\frac{15x20x}{100}$

At 19% profit,Tk. 100 Provides profit = TR. 19Tk.

30x Provides profit = $\frac{19x30x}{100}$

At 25% profit,Tk. 100 Provides profit = Tk.25Tk.

15x Provides profit = $\frac{25x15x}{100}$

According to question, $\frac{15x20x}{100}$ +$\frac{19x30x}{100}$ + $\frac{25x15x}{100}$ = 498

=>249x=9960

x=40

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