The price of 2 sarees and 4 shirts is Tk. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay?

 

A    Tk. 1200

B    Tk. 2400

C    Tk. 4800

D    Cannot be determined

Solution

Correct Answer: Option B

 

Let the price of a saree and a shirt be Tk. x and Tk. y respectively.

Then, 2x + 4y = 1600 .... (i) and x + 6y = 1600 .... (ii)

Divide equation (i) by 2, we get the below equation.

=> x +  2y =  800 --- (iii)

Now subtract (iii) from (ii)

 x +  6y = 1600  (-)

 x +  2y =  800 

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      4y =  800

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Therefore, y = 200.

Now apply value of y in (iii)

=>  x + 2 x 200 = 800

=>  x + 400 = 800

Therefore x = 400

Solving (i) and (ii) we get x = 400, y = 200.

So, Cost of 12 shirts = Tk. (12 x 200) = Tk. 2400.

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