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An establishment's electricity bill has a fixed component and a variable component based on units consumed. For 540 units, the bill is Rs. 1800; for 620 units, it's Rs. 2040. What is the bill for 500 units?
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Solution: Step 1: Let the fixed charge be x and the charge per unit be y. Step 2: From the given data, we have two equations: 540y + x = 1800 and 620y + x = 2040. Step 3: Subtract the first equation from the second: 80y = 240, so y = 3. Step 4: Substitute y = 3 into the first equation: 540*3 + x = 1800. Step 5: Solve for x: 1620 + x = 1800, so x = 180. Step 6: For 500 units, the bill = 180 + 500*3. Step 7: Calculate: 180 + 1500 = 1680.
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