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An electricity bill is calculated for $2$ months. In January, $350$ units are consumed, and in February, $80$ units are consumed. The rates are: first $100$ units at $4$ per unit, units from $101$ to $300$ at $6$ per unit, and units above $300$ at $9$ per unit. The fixed meter charge is $50$ per month. A government tax of $10\%$ is charged on the overall cost. Find the total bill.

  1. $2617$
     
  2. $2670$
     
  3. $2717$
     
  4. $2770$

1 Answer

1 1 vote

 

 Month by Month

January (350 units):

  • First 100 units @ 4: $400$

  • 101–300 units (200 units) @ 6: $1200$

  • Units above 300 (50 units) @ 9: $50 \times 9 = 450$

  • January Energy Cost: $400 + 1200 + 450 = 2050$

February (80 units):

  • 80 units @ 4: $80 \times 4 = 320$

  • February Energy Cost: $320$


Totaling the Components

  • Total Energy Cost: $2050 + 320 = 2370$

  • Fixed Charges (2 months): $50 \times 2 = 100$

  • Subtotal: $2370 + 100 = 2470$

Applying the 10% Tax

  • Tax: $10\% \text{ of } 2470 = 247$

  • Total Bill: $2470 + 247 = 2717$

  • so option c is correct. 

 

 

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