A family used to consume 20 liters of cooking oil in a month. The price of cooking oil increased by 50% and the family reduced its consumption of cooking oil such that the expenditure on cooking oil went up by only 20%. How much cooking oil does the family consume at present?
Answers
Answer:
wow, that family is spending a LOT on oil
wonder what they do for a living
Answer:
16 liters
Step-by-step explanation:
Given :- Consumption of oil by a family = 20 liters.
Price of oil increased by 50%.
Family reduced it's expenditure on oil such that price went up by 20%.
To Find:- Family's consumption of oil at present.
Solution:-
Let the initial price of the cooking oil be Rs. x per liter.
Let the family's present consumption of oil be n liters.
Price of buying 20 liters of cooking oil before hike = 20x
After price increase, price of 1 liter of cooking oil = x + (50 × x)/100
= x + x/2
= 3x/2
20% of Family's expenditure on cooking oil = 20/100 × 20x
= 1/5 × 20x
= 4x
Acc. to the question,
n × 3x/2 = 20x + 4x
⇒ 3nx/2 = 24x
⇒ 3n = 24 × 2
⇒ n = 48 ÷ 3
⇒ n = 16 liters
Therefore, family's present consumption of oil = 16 liters.
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