The subgroup indices of the consumer price index number of workers of an industrial town for
the year 2020, with base year as 2018, are as follows:
Food: 180; Clothing: 140; Fuel and Lighting: 120; House rent: 200; and Misc: 150.
The weight of various subgroups are 50,9,6,15 and 20, respectively. IT is proposed to fix industrial
dearness allowance such that the employees are compensated fully for the rise in prices of food
and house rent but only to the extent of 50 percent of the increase in prices of rest of subgroups.
What should be the dearness allowance expressed as a percentage of wages?