1.  The price of 2 sarees and 4 shirts is ₹ 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. ₹ 1200
B. ₹ 2400
C. ₹ 4800
D. Cannot be determined
E. None of these

Answer: Option

Explanation:

Let the price of a saree and a shirt be ₹x and ₹ 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  
----------------
      4y =  800
----------------

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.

Cost of 12 shirts = ₹ (12 x 200) = ₹ 2400.