THE ELECTRICITY BILL OF A CERTAIN ESTABLISHMENT IS PARTLY FIXED AND PARTLY VARIES AS THE NUMBER OF THE UNITS OF ELECTRICITY CONSUMED. WHEN IN CERTAIN MONTH 480 UNITS ARE CONSUMED THE BILL IS RS 1600. IN ANOTHER MONTH WHEN 550 UNITS ARE CONSUMED, THE BILL IS RS.1810. IN ANOTHER MONTH WHEN 600 UNITS ARE CONSUMED, THE BILL FOR THAT MONTH WOULD BE:
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Let the fixed amount be Rs. x and the cost of each unit be Rs. y. Then,
540y+x=1800 ...(i) and
620y+x=2040 ...(ii)
On subtracting (i) from (ii), we get 80y=240⇒y=3
Putting y = 3 in (i), we get :
540×3+x=1800⇒x=(1800−1620)=180
∴ Fixed charges =Rs.180, Charge per unit =Rs.3
Total charges for consuming 500 units =Rs.(180+500×3)=Rs.1680
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1680 i hope this helps...
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