Cbse Open Text Based Assessment Worksheet - Class Ix - Board Of High School And Intermediate Education - 2015-2016 Page 25
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28THEME – 2: ENERGY CONSUMPTION AND ELECTRICITY BILL
SOME PROBABLE QUESTIONS
1. Form a linear equation if the total bill of a house in Delhi is above Rs. 4000 for a month
assuming that the consumption is of ‘x’ units as per Delhi tariff slabs shown in actual
bill.
(3 marks)
2. Form linear equations to calculate bill for consumption of electricity units between 300
units and 500 units for all states and metro cities given in last table of the text.
(3 marks)
3. Amit has four bedrooms flat. He installed five fans and three air conditioners of 1 ton in
the house. He observed that his total consumption for light and other electrical
appliances excluding fan and air conditioner is 200 units in a month. He wishes that his
monthly consumption of electricity should be 600 units in a month. Establish a linear
equation for the same assuming that he is using all fans for ‘m’ number of hours and air
conditioner for ‘p’ number of hours. AC of 1 ton take load of 2000 W.
(4 marks)
4. Mohan uses a 20 Watt tube light and a 100 Watt lamp to light up his room. The usage
hours per day of the tube light are three times the usage hours per day of the lamp.
Form a linear equation to calculate the total number of units consumed in the month of
November of a particular year. Also, draw its graph.
(4 marks)
5. The electricity tariff plan of a particular city is as follows:
First 200 units
Rs 2.00/unit
Next 150 units
Rs 3.00/unit
Next 150 units
Rs x/unit
Any units above 500 Rs 6.00/unit
The total electrical charges of a particular house in the city are Rs 3,400 for y (y > 500)
units of consumption. Establish a linear relationship between x and y. If x = 5, then
what is the value of y?
(3 marks)
6. Amit has two bedrooms flat. There are three fans and one air conditioner of 1.5 tons in
the house. His total consumption of electricity for light and other electrical appliances
excluding fans and the air conditioner is 150 units.
He wishes that his monthly
consumption of electricity should be 600 units in a month. Form a linear equation
representing the given information assuming that he is using all fans for x number of
hours and air conditioner for y number of hours. (Assume air conditioner of 1.5 tons
takes load of 2500 W)
(3 marks)
7. For the consumption of x units for a month as per Delhi Tariff slabs shown in actual
bill, form a linear equation in the total cost Rs. y and total consumption x units lies
between 400 units and 600 units. Find the total consumption, if total electric bill for a
month is Rs. 2136.
(4 marks)
Prepared by: M. S. KumarSwamy, TGT(Maths)
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