If price of sugar is increased by 20% Abhishek reduced his consumption by 1 kg so its overall expenditure
increase 10% only. If total expenditure is 660. Then find the increased rate per kg.
Answers
Given : price of sugar is increased by 20% Abhishek reduced his consumption by 1 kg so its overall expenditure increase 10% only.
total expenditure is 660.
To find : the increased rate per kg.
Solution:
total expenditure is 660. Rs
Consumption = C kg
price of sugar = 660/C Rs per kg
price of sugar is increased by 20%
=> New price = (660/C) (1 + 20/100) = 792/C Rs per kg
Abhishek reduced his consumption by 1 kg
Consumption = C-1 kg
overall expenditure increase 10% only
New expenditure = 660 + (10/100)660 = 726
(792/C)(C - 1) = 726
=> 792 - 792/C = 726
=> 792/C = 66
New price = 66 Rs per kg
increased rate per kg. = 66 Rs per kg
Additional info
old price = Rs 55 per kg , consumption = 12 kg expenditure = 660 Rs
increased price = Rs 66 per kg consumption = 11 kg expenditure = 726 Rs
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