2. A reduction of 25% in price of carrots enables a hotel owner to buy 5kg more for 400rs.
Find -
a) Reduced cost per kg
b) Original cost per kg
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expenditure = price × quantity =400
price and quantity are inversely proportional
original price,o = p
final price,f = p×(1-25%) = .75p
o:f = 1:.75 = 4:3
original quantity =o1
final quantity =f1
ratio o1:f1 = 1/4 :1/3 =3:4
as quantity is inversely proportional to price
f1-o1 = 1part = 5kg
o1 = 3parts = 15kgs
o1×p = 15×p = 400
p= 400/15 =26.67 rupees
original price,p =26.67 rupees
reduced price = .75p = 20 rupees
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