To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sandand 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 whatis the cost (in rupees) of cement used?(A) 400(B) 600(C) 800(D) 200
Question
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sandand 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 whatis the cost (in rupees) of cement used?(A) 400(B) 600(C) 800(D) 200
Solution
To solve this problem, we need to follow these steps:
Step 1: Determine the ratio of sand and cement in the mixture. The given ratio is 3:1, which means for every 3 parts of sand, there is 1 part of cement.
Step 2: Determine the ratio of the cost of sand and cement. The given ratio is 1:2, which means the cost of sand is 1 part and the cost of cement is 2 parts.
Step 3: Calculate the cost of sand. Since the total cost of sand and cement is 1000 rupees, we can set up the equation: Cost of sand / Cost of cement = 1 / 2 Let's assume the cost of sand is x rupees. Then the cost of cement would be 2x rupees. So, x + 2x = 1000 3x = 1000 x = 1000 / 3 x ≈ 333.33 rupees
Step 4: Calculate the cost of cement. Since the cost of sand is approximately 333.33 rupees, the cost of cement would be approximately 2 * 333.33 = 666.66 rupees.
Therefore, the cost of cement used to construct the wall is approximately 666.66 rupees, which is closest to option (B) 600 rupees.
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