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A rectangular pit 12 m long, 9 m wide and 4 m deep is dug for a foundation. Digging costs ₹35 per cubic metre, and the excavated earth is then sold for ₹12 per cubic metre. What is the net cost of the work?

Competition practiceMensuration
  • A₹9936
  • B₹5184
  • C₹15120
  • D₹20304

Step-by-Step Solution

The pit holds 4 = 432 cubic m. Digging costs = ₹15120 and the earth fetches = ₹5184, so the net outgo = 15120 - 5184 = ₹9936. Equivalently, = ₹9936. The trap ₹15120 never credits the sale; ₹20304 adds the two amounts instead of subtracting; ₹5184 quotes only the money received.
Answer: A) ₹9936

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