13. Case Study – 3
With the increase in the fuel prices, the price of consumer products increases
because oil is an essential component of the industrial and the manufacturing
sectors, also petrol and diesel is used for the transportation of goods, thus creating
an inflationary pressure. There are two statements which based on petrol and CNG
gas, given below.
Statement I Every six months, price of petrol increases at the rate of Rs. 4 per
litre. Taking price of petrol in July, 2020 as ‘x’ and present price (July, 2021) of
petrol as ‘y’.
Statement II Due to continuous rise in the petrol price, people are shifting
towards CNG whose price increases at the rate of Rs. 3 per litre in a year.
So, give answer of the question by reading the above statements.
(1) According to first statement, form a linear equation showing amount spend on
petrol in July 2021.
(a) x y = + 8 (b) x y = −8 (c) y x = + 8 (d) 8
2
y x
+ =
(2) If x=3, then find the value of ‘y’.
(a) 9 (b) 10 (c) 11 (d) 12 5
(3) According to second statement, form a linear equation taking price of CNG in
July 2020 as ‘a’ and in July 2021 as ‘b’.
(a) b a = − 3 (b) a b = − 3 (c) b a = + 3 (d) 2 3 b a = +
(4) If a = 5, then find the value of ‘b’.
(a) 6 (b) 7 (c) 8 (d) 9
(5) If a = 11, then find the value of ‘b’
(a) 11 (b) 12 (c) 13 (d) 14
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