Due to inflation the total cost of monthly household
items has gone up by 20%, but the salary of the fam-
ily increased by only 10%. Initially, the family used to
spend 20% of the salary on household items. What per-
centage of the present salary should the family spend to
buy the same quantities of household items?
a) 10% b) 20 2/11%
c) 22 2/11% d) 21 9/11%
Answers
Given : Due to inflation the total cost of monthly household items has gone up by 20%, but the salary of the fam-ily increased by only 10%.
Initially, the family used to spend 20% of the salary on household items.
To Find : What percentage of the present salary should the family spend to
buy the same quantities of household items?
a) 10% b) 20 2/11%
c) 22 2/11% d) 21 9/11%
Solution:
Salary of Family = 100S
Spent on House hold item = (20/100)100S = 20S
20 % inflation = (20/100)20S = 4S
New Cost of House hold items = 20S + 4S = 24S
Salary increased by 10 % = (10/100)100S = 10S
New Salary = 100S + 10S = 110S
New Salary = 110S
New Cost of House hold items = 24S
Percentage = (24S/110S) * 100
= 240/11
= 21 9/11 %
percentage of the present salary family spend to buy the same quantities of household items = 21 9/11 %
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