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GATE 2023 CH – Question 7

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

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

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Show answer and explanation

Correct answer: (A) 400

Explanation

Take 3 units of sand at 1 unit of cost per unit and 1 unit of cement at 2 units of cost per unit. The costs are 3 and 2, a total of 5, and the cement is $\frac{2}{5}$ of it: $\frac{2}{5} \times 1000 = 400$ rupees.