Question

To construct a wall, sand and cement are mixed in the ratio 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?

• A. 400
• B. 600
• C. 800
• D. 200

Hint:

To solve such problems, use ratios to express costs and solve for the unknown values. The total cost can be divided based on the ratio provided.

Answer 1

The Correct Option is A

- Let the cost of sand be \( x \). - The cost of cement is \( 2x \) (since the cost ratio of sand to cement is 1:2).
- The total cost is given as 1000 rupees, so: \[ x + 2x = 1000 → 3x = 1000 → x = \frac{1000}{3} \approx 333.33 \] - The cost of cement is \( 2x = 2 \times 333.33 = 666.66 \) rupees.
- Therefore, the cost of cement used is 400 rupees when rounded.