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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  1. ₹51,000
  2. ₹66,000 
  3. ₹26,000
  4. ₹84,000

Answer (Detailed Solution Below)

Option 1 : ₹51,000
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Explanation:

For the mix of 10 m³ of 1:3:6 cement concrete.

The wet mix volume increases by about 52% compared to the dry mix:

  • Wet mix volume = 10 m³ × 1.52 = 15.2 m³.

Material Quantities:

  • Cement: (1/10) × 15.2 = 1.52 m³

  • Coarse Sand: (3/10) × 15.2 = 4.56 m³

  • Stone Ballast: (6/10) × 15.2 = 9.12 m³

Material Cost:

  • Cement: ₹10,000 per m³ × 1.52 m³ = ₹15,200

  • Coarse Sand: ₹2,000 per m³ × 4.56 m³ = ₹9,120

  • Stone Ballast: ₹3,000 per m³ × 9.12 m³ = ₹27,360

Total cost = ₹15, 200+ ₹9, 120+₹27,360 = ₹51,680.

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