The price of 8 litre of mustard oil and 5 litre of groundnut oil together is ₹1150. If the price of mustard oil increases by 10% and that of groundnut oil by 20%, the price of the two is ₹1,310. Find out the price per litre of both the oil.
Answers
Answer:
mus. 700. gro . 450
Step-by-step explanation:
let price of 1lt. must. oil=x
8lt.-------. =8x
price of 1lt.groun.oil. =y
5lt.---. 5y
8x+5y = 1150
8x+8x×(10/100)+5y+5y×20/100=1310
44x+30y=6550
solve both equation x=175/2. y= 450
Answer:
1 litre mustrad oil - 87.5
1 litre groundnut oil - 90
Step-by-step explanation:
Assume mustard oil and groundnut oil as x and y.
1) so, 8 litre of mustard oil plus 5litre of groudnut oil = 1150
Substitute x and y for oils now:
8x + 5y = 1150 --> Equation 1
2) Now consider hiked price of both the oils, 10% and 20 % respectively.
8x+(8x*10/100) + 5y+(5y*20/100) = 1310
After computation it is now:
22x + 15y = 3275 --> Equation 2
Now solve the equation by Gaussian elimination method
8x + 5y = 1150
22x + 15y = 3275
Let's make y equal by multiplying equation 1 with 3.
8x + 5y = 1150 --> 24x+ 15y = 3450
Elimination of y:
24x + 15y = 3450
22x + 15y = 3275
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2x = 175
x = 87.5
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Now substitute x in any of the equation.
22*87.5 + 15y = 3275
15y = 3275-1925=1350/15 = 90.