The price of onions soared higher by 15%. Shiny reduced the consumption of onions for this reason by10%. By how much % will her expense for onion increase or decrease
Answers
Answer:
3.5 %
Step-by-step explanation:
= 15 - 10 - 1500/100
= 5 - 1.5
= 3.5
Expenses increases by 3.5 % if price increases by 15 % and consumption reduced by 10%.
Given : The price of onion got higher by 15 %
Consumption reduced by 10 %
To Find : By how much % will her expense for onion increase or decrease
Solution:
Original Price = P Rs/kg
Consumption = C kg
Expenses = Price per units * units consumed
=> E = PC Rs
The price of onion got higher by 15 %
New Price = P + (15/100)P = 1.15P
Consumption reduced by 10 %
New Consumption = C - (10/100)C = 0.9C
New Expenses = 1.15P * 0.9C
= 1.035PC
Increase in Expenses = 1.035PC - PC = 0.035PC
% increase in consumption = ( 0.035PC/PC) * 100
= 3.5 %
Expenses increases by 3.5 % if price increases by 15 % and consumption reduced by 10%.
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