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GATE BT 2023 | GA | Question: 7

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To construct a wall, sand and cement are mixed in the ratio of $3: 1$. The cost of sand and that of cement are in the ratio of $1: 2$.

If the total cost of sand and cement to construct the wall is $1000$ rupees, then what is the cost (in rupees) of cement used?

  1. $400$
  2. $600$
  3. $800$
  4. $200$

1 Answer

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Let cost of 1 part of sand be Rs x

Required = 3 parts , hence cost =Rs 3x

Let cost of 1 part of cement be Rs y

Required = 1 part , hence cost = Rs y

But cost of sand and cement are in a ratio 1:2, which means cost of cement is 2 times that of sand

Thus, y = 2x

Total cost = Rs1000

Thus, 3x+ 2x = 1000

5x = 1000

x= 200

Thus, cost of sand = Rs 200

Cost of cement = 2x

                            = 2(200)

                            = Rs 400.
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