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Job

Solve the following mathematical problems:

A customer bought 5 pencils and 6 erasers at Tk. 80. Next week the price of each pencil increases by 20% . But the price of eases remains unchanged . Now the customer buys 2 pencils and 3 erasers at Tk. 39.  Find the new price of each pencil. (percentage)

Created: 2 years ago | Updated: 11 months ago
Updated: 11 months ago
Answer :

Let, the initial price of each pencil is Tk. x

And the initial price of each eraser is Tk y

 According the questions, 5x+6y= 80 …………..(i) 

After price increase of pencil, the new price I pencil is (x+20% of x) Tk.

x+20x100=6x5 tk. 

According to the question, 

(2×6x5)+(3×y)=3912x5+3y=39  

Now, multiplying equation (i) by 5 and equation (ii) by 2 and subtracting equation (ii) from equation (i) we get , 

25x+30y=40024x+30y=390x=10

New price of a pencil will be = 6x5=6×105=12 tk. 

ans. The new price of each pencil is 12 Tk.

1 year ago

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