The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can…

20242025

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 ?

  1. A.

    Rs. 1200

  2. B.

    Rs. 2400

  3. C.

    Rs. 4800

  4. D.

    Cannot be determined

Attempted by 411 students.

Show answer & explanation

Correct answer: B

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

  1. Form the two equations from the statements:

    2x + 4y = 1600

    x + 6y = 1600

  2. Eliminate x: multiply the second equation by 2 to get 2x + 12y = 3200, then subtract the first equation (2x + 4y = 1600):

    2x + 12y = 3200

    Subtracting 2x + 4y = 1600 gives 8y = 1600, so y = 200.

  3. Find x using x + 6y = 1600: substitute y = 200 to get x + 1200 = 1600, so x = 400.

  4. Compute the cost of 12 shirts: 12 × y = 12 × 200 = 2400.

Answer: Rs. 2400.

Explore the full course: Tcs Preparation