"Before lockdown 1 kilogram of onion and 4 kilograms of potato together cost Rs. 220. Due to lock down, the prices of potato and onion increase by 50% and 10% respectively. If the total cost of both potato and onion now is Rs. 266, find the original cost per kg of each."
Solve the question Algebraically and Graphically.
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Step-by-step explanation:
Given "Before lock down 1 kilogram of onion and 4 kilograms of potato together cost Rs. 220. Due to lock down, the prices of potato and onion increase by 50% and 10% respectively. If the total cost of both potato and onion now is Rs. 266, find the original cost per kg of each."
- Let onion be o and potato be p
- So we have the equation
- O + 4P = 220
- Now increase in price will be
- O + 10 / 100(O) + 4 (P + 50/100 P) = 266
- So we get
- 11/10 O + 6P = 266
- Now we get the equations as
- O + 4P = 220
- 11 / 10 O + 6P = 266
- Multiply the first equation by 11/10 we get
- 11/10 O + 22/5 P = 242
- 11/10 O + 6P = 266
- Subtracting we get
- So – 8/5 P = - 24
- Or P = 15
- OR 4 p = 4 x 15 = Rs 60
- So 4P = 4 x 15 = Rs 60
- Also O + 4P = 220
- O + 4(15) = 220
- Or O = 220 – 60
- Or O = Rs 160
Therefore price of each per kg will be Rs 160 and Rs 15
Reference link will be
https://brainly.in/question/8694723
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