Question 3. The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. Chapter 3: Pair of Linear Equations in Two Variable Maths Class 10 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 3. The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and geometrically. is solved by our expert teachers. You can get ncert solutions and notes for class 10 chapter 3 absolutely free. NCERT Solutions for class 10 Maths Chapter 3: Pair of Linear Equations in Two Variable is very essencial for getting good marks in CBSE Board examinations
Solution: Let cost each kg of apples = Rs x
Cost of each kg of grapes = Rs y
Given that The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160
So that
2 x + y = 160 … (1)
2x = 160 - y
x = (160 – y)/2
Let y = 0 , 80 and 160 we get
X = (160 – ( 0 ))/2 = 80
X = (160- 80 )/2 = 40
X = (160 – 2* 80 )/2 = 0
| X | 80 | 40 | 0 |
y | 0 | 80 | 160 |
Given that the cost of 4 kg of apples and 2 kg of grapes is Rs 300
so we get
4 x + 2 y = 300 … (2)
Divide by 2 we get
2 x + y = 150
Subtract 2x both side we get
Y = 150 – 2 x
Plug x = 0 , 50 , 100 we get
Y = 150 – 2*0 = 150
Y = 150 – 2* 50 = 50
Y = 150 – 2 * (100 ) = - 50
| X | 0 | 50 | 100 |
Y | 150 | 50 | -50 |
Algebraic representation
2 x + y = 160 … (1)
4 x + 2 y = 300 … (2)
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