Read the following scenario and answer the THREE questions that follow.
Comprehension:
The plots below depict and compare the average monthly incomes (in Rs. ā000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices.
Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.
Rs.100 in 2025 is worth Rs. 60 in 2015 prices, and Rs. 25 in 2005 prices. Based on the given plots, which of the following statements, about the unscaled incomes, i.e., the incomes before scaling to 2025 prices, CANNOT be correct? (All statements refer to people represented in the given plots.)
We are told thatĀ Rs.100 in 2025 is worth Rs. 60 in 2015 prices, and Rs. 25 in 2005 prices
Option A:Ā Average unscaled income for both genders increased in all 10 cities from 2005 to 2015
This is true. The averageĀ unscaled income of both male and femaleĀ for all the 10 cities will be more in 2015 than 2005. Why? The unscaled income in 2005 is $$\frac{1}{4}$$th of value given in the graph.Ā While in 2015 it is $$\frac{3}{5}$$th of value given in the graph. For allmost all the points the values in 2015 is more than that in 2005. And for those values that are lesser in 2015 than 2005, when the values when scaled as stated in the question, the value in 2015 will be more than 2005 as they don't have that much margin.
Option B:Ā Average unscaled income of women was about Rs. 15,000 in 2015 in City H
The least value ofĀ average income of women in 2015 accross all cities is 27.5.
Its unscaled value =Ā $$\frac{27.5*60}{100}$$ = 16.5. This is more than 15,000. So, this option is correct.
Option C:Ā Average unscaled income of men in City E increased by about 140% from 2005 to 2015
Average income of men in City E in 2005 = 20,000
Its unscaled value will be $$20000\cdot\frac{25}{100}$$= 5,000
Average income of men in City E in 2015 = 25,000
Its unscaled value will be $$25000\cdot\frac{60}{100}$$= 12,000
$$\frac{\left(12000-5000\right)}{5000}=1.4$$
So, option C is also correct.
Option D:Ā Average unscaled income of women in City G increased by about 120% from 2005 to 2015
Average income of women in City G in 2005Ā = 32,500
Its unscaled value will be $$32500\cdot\frac{25}{100}$$= 8,125
Average income of women in City G in 2015 = 32,500
Its unscaled value will be $$32500\cdot\frac{60}{100}$$= 19,500
$$\frac{\left(19500-8125\right)}{8125}=1.2$$
So, this is also a correct option.
Option E:Ā
Unscaled gap for city G in 2005 is more than in 2015.
So, this is an incorrect statement.Ā
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