If the price of tea is increased from rs 125/kg to rs 150/kg then a family decreased it's consumption by 2kg . Now it's Monthly expenditure increased by 10%.find orginal and present consumption.
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Answer:
price of 1 kg tea =125
price of 2kg tea=125+125=250
increased value 1 kg tea =150
price of 2kg tea=150+150=300
300-250=50
50 of 10%=5
Original consumption=250
present consumption=300
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expenditure = price × consumption
e = p×c
p= 125
e=125c -----A
new price, p1= 150
new consumption, c1 = c-2
new expenditure, e1 = e×(1+10%) = 1.1e
e1 = p1×c1
1.1e = 150×(c-2)
from A, substitute for e
1.1×125c = 150c - 300
137.5c = 150c -300
12.5c =300
c= 24
original consumption c = 24kgs
present consumption c1 = c-2 =22kgs
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