The per cubic metre rates are ₹3,000 per cum for stone ballast, ₹2,000 per cum for coarse sand and ₹10,000 per cum for cement. For production of 10 m3 of 1 : 3 : 6 cement concrete, the cost will be (to nearest thousand):
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A.
₹51,000
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B.
₹66,000
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C.
₹26,000
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D.
₹84,000
Correct Answer:
A. ₹51,000
Explanation:
To calculate the total cost for 10 m³ of 1:3:6 concrete, we convert the wet volume to a dry volume of 15 m³ (using a factor of 1.5). According to the 1:3:6 ratio (10 parts total), we require 1.5 m³ of cement, 4.5 m³ of sand, and 9 m³ of stone ballast. Using the unit rates provided—₹10,000, ₹2,000, and ₹3,000 respectively—the individual material costs are ₹15,000, ₹9,000, and ₹27,000. Summing these results in a total of ₹51,000, which identifies Option A as the correct answer.
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