Based on the data in table, answer the five questions that follow: The following table shows the break‐up of population in terms of males, females and transgenders of five different cities A ‐ E. Some of the data in the table is in percent (%) while some data is in numbers. City‐wise Break‐up of Population If the ratio of literate males to illiterate males of City 'D' is 11 ∶ 7. then what is the difference between the number of literate males and number of illiterate males of City 'D'?City Population Break-up Males Females Transgenders A 45% 30% 2000 B 50% 3000 35% C 8000 35% 15% D 45% 3600 25% E 38% 32% 4200
1200
The question asks us to find the difference between the number of literate males and illiterate males in City 'D', given a ratio of literate to illiterate males and the population break-up data from the provided table.
Let's first examine the data given for City 'D' in the table:
| City | Population Break-up | Males | Females | Transgenders |
|---|---|---|---|---|
| A | 45% | 30% | 2000 | |
| B | 50% | 3000 | 35% | |
| C | 8000 | 35% | 15% | |
| D | 45% | 3600 | 25% | |
| E | 38% | 32% | 4200 |
For City 'D', we have the following information:
The total population of any city is 100%. In City D, the population is divided among males, females, and transgenders. We have the percentages for males and transgenders. The remaining percentage must be for females.
Percentage of Females = 100% - (Percentage of Males + Percentage of Transgenders)
Percentage of Females in City D = \(100\% - (45\% + 25\%)\)
Percentage of Females in City D = \(100\% - 70\%\)
Percentage of Females in City D = \(30\%\)
We are given that the number of females in City D is 3600. This number corresponds to 30% of the total population of City D.
Let the total population of City D be \(P_D\). Then,
\(30\%\) of \(P_D = 3600\)
\(\frac{30}{100} \times P_D = 3600\)
\(P_D = \frac{3600 \times 100}{30}\)
\(P_D = \frac{360000}{30}\)
\(P_D = 12000\)
So, the total population of City D is 12000.
From the table, we know that males constitute 45% of the total population of City D.
Number of Males in City D = \(45\%\) of Total Population of City D
Number of Males = \(45\%\) of 12000
Number of Males = \(\frac{45}{100} \times 12000\)
Number of Males = \(45 \times 120\)
Number of Males = \(5400\)
There are 5400 males in City D.
The question states that the ratio of literate males to illiterate males in City D is 11 : 7.
This means that for every 11 literate males, there are 7 illiterate males among the male population of City D.
The total number of parts in the ratio is \(11 + 7 = 18\) parts.
These 18 parts represent the total number of males in City D, which we found to be 5400.
Value of one ratio part = \(\frac{\text{Total Number of Males}}{\text{Total Ratio Parts}}\)
Value of one ratio part = \(\frac{5400}{18}\)
Value of one ratio part = \(300\)
Now we can find the number of literate and illiterate males:
Let's verify: \(3300 + 2100 = 5400\), which is the total number of males in City D. The numbers match.
The question asks for the difference between the number of literate males and the number of illiterate males of City 'D'.
Difference = Number of Literate Males - Number of Illiterate Males
Difference = \(3300 - 2100\)
Difference = \(1200\)
The difference between the number of literate males and illiterate males in City D is 1200.
| Description | Value | Calculation / Basis |
|---|---|---|
| Percentage of Females in City D | 30% | \(100\% - (45\% + 25\%)\) |
| Number of Females in City D | 3600 | Given in table |
| Total Population of City D | 12000 | \(3600 / 30\% = 3600 \times (100/30)\) |
| Percentage of Males in City D | 45% | Given in table |
| Number of Males in City D | 5400 | \(45\%\) of 12000 = \(0.45 \times 12000\) |
| Ratio of Literate to Illiterate Males | 11 : 7 | Given in question |
| Total Ratio Parts | 18 | \(11 + 7\) |
| Value of One Ratio Part | 300 | \(5400 / 18\) |
| Number of Literate Males | 3300 | \(11 \times 300\) |
| Number of Illiterate Males | 2100 | \(7 \times 300\) |
| Difference (Literate - Illiterate) | 1200 | \(3300 - 2100\) |
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District | Male teachers | Female teachers |
East | 1650 | 2375 |
North | 1075 | 2651 |
West | 1280 | 1520 |
South | 1170 | 1085 |
Central | 690 | 859 |
Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source | Amit | Suresh | Nitin | Varun |
Salary | 35000 | 38500 | 29000 | 42000 |
Arrears | 6000 | 6300 | 5000 | 7500 |
Bonus | 1000 | 1100 | 1000 | 1240 |
Overtime | 1800 | 1950 | 1400 | 1500 |
Study the table and answer the question:
Income (Rs.) | No. of persons |
Less than 200 | 12 |
Less than 250 | 26 |
Less than 300 | 34 |
Less than 350 | 40 |
Less than 400 | 50 |
The following table shows the annual profit of a company (in Rs. lakh).
2014-2015 | 2015-2016 | 2016-0217 | 2017-2018 | 2018-2019 |
625 | 690 | 725 | 775 | 815 |
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
| States | Persons |
| S1 | 100 |
| S2 | 200 |
| S3 | 400 |
| S4 | 500 |
| S5 | 600 |
| S6 | 800 |
What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?