Question

The price of 2 sarees and 4 shirts is Rs. 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. Rs. 1200
• B. Rs. 2400
• C. Rs. 4800
• D. Cannot be determined

Answer 1

The correct option is B Rs. 2400

Let the price of a saree and a shirt be Rs. x and Rs. 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+2×200=800
⇒x+400=800
Therefore x = 400
Solving (i) and (ii) we get x = 400, y = 200.
∴ Cost of 12 shirts = Rs. (12×200)= Rs. 2400.