the price of sugar is decrease by 25% and due to this,a family purchase 12 kg more sugar than earlier and the expenditure decrease by 7% .find the increased consumption
Answers
Answer:
Increased Consumption = 62 kg
Step-by-step explanation:
Let say Price of Sugar = P rs / Kg
Consumption of Sugar = C kg
Expenditure = CP Rs
price of sugar is decrease by 25%
=> Price of Sugar = P - (25/100)P = 0.75P rs/kg
family purchase 12 kg more sugar
=> Consumption of sugar = C + 12 kg
Expenditure = (C + 12) 0.75P = 0.75CP + 9P Rs
expenditure decrease by 7%
=> CP - (7/100)CP = 0.93CP Rs
0.93CP = 0.75CP + 9P
=> 0.18CP = 9P
=> C = 50
Consumption of sugar was 50 kg
Increased Consumption = 50 + 12 = 62 kg
Increased Consumption = 62 kg
Answer:
Increased Consumption = 62 kg
Step-by-step explanation:
Let say Price of Sugar = P rs / Kg
Consumption of Sugar = C kg
Expenditure = CP Rs
price of sugar is decrease by 25%
=> Price of Sugar = P - (25/100)P = 0.75P rs/kg
family purchase 12 kg more sugar
=> Consumption of sugar = C + 12 kg
Expenditure = (C + 12) 0.75P = 0.75CP + 9P Rs
expenditure decrease by 7%
=> CP - (7/100)CP = 0.93CP Rs
0.93CP = 0.75CP + 9P
=> 0.18CP = 9P
=> C = 50
Consumption of sugar was 50 kg
Increased Consumption = 50 + 12 = 62 kg
Increased Consumption = 62 kg