The following table shows the percentage (%) distribution of total population. literate males and literate females in six cities A-F. In all six cities together. total population, number of literate males and number of literate females are 1.5 crore. 40 lakh and 25 lakh. respectively. Ratio of males to females among the total population is 8 ∶ 7. Based on the data in the table. answer the question: City – wise Distribution of Population City (%) Population (out of 1.5 crore) (%) Literate Males (out of 40 lakh) (%) Literate Females (out of 25 lakh) A 16% 18% 24% B 18% 12% 18% C 21% 20% 12% D 15% 16% 16% E 20% 19% 20% F 10% 15% 10%
Number of literate males of City D is __________ % more than the number of literate females of City D.
60
The question asks us to find the percentage by which the number of literate males in City D is more than the number of literate females in City D. To answer this, we need to extract the relevant information for City D from the provided table and then perform the necessary calculations.
We are given the following information:
The table shows the percentage distribution of these totals across the six cities (A to F). Let's look at the provided table:
| City | % Population (out of 1.5 crore) | % Literate Males (out of 40 lakh) | % Literate Females (out of 25 lakh) |
|---|---|---|---|
| A | 16% | 18% | 24% |
| B | 18% | 12% | 18% |
| C | 21% | 20% | 12% |
| D | 15% | 16% | 16% |
| E | 20% | 19% | 20% |
| F | 10% | 15% | 10% |
From the table, for City D:
Now, we calculate the actual number of literate males in City D:
Number of literate males in City D = 16% of Total Literate Males
Number of literate males in City D $$= 0.16 \times 40,00,000$$
Number of literate males in City D $$= 6,40,000$$
Next, we calculate the actual number of literate females in City D:
Number of literate females in City D = 16% of Total Literate Females
Number of literate females in City D $$= 0.16 \times 25,00,000$$
Number of literate females in City D $$= 4,00,000$$
We need to find out by what percentage the number of literate males of City D is more than the number of literate females of City D. The comparison is made with respect to the number of literate females in City D.
Difference between literate males and females in City D:
Difference $$= \text{Literate males in City D} - \text{Literate females in City D}$$
Difference $$= 6,40,000 - 4,00,000$$
Difference $$= 2,40,000$$
Now, we calculate the percentage increase (how much more the literate males are than the literate females):
Percentage increase $$= \frac{\text{Difference}}{\text{Number of literate females in City D}} \times 100$$
Percentage increase $$= \frac{2,40,000}{4,00,000} \times 100$$
Percentage increase $$= \frac{24}{40} \times 100$$
Percentage increase $$= \frac{3}{5} \times 100$$
Percentage increase $$= 0.6 \times 100$$
Percentage increase $$= 60\%$$
So, the number of literate males of City D is 60% more than the number of literate females of City D.
| Concept | Explanation | Application in Problem |
|---|---|---|
| Percentage Distribution | Showing how a total quantity is divided into parts, expressed as percentages. | The table shows how total literate males/females are distributed among cities. |
| Calculating Value from Percentage | To find a specific value when a percentage of a total is given: $$ \text{Value} = \frac{\text{Percentage}}{100} \times \text{Total} $$ | Used to find the exact number of literate males/females in City D. |
| Percentage Difference ('% More Than') | To find how much quantity A is more than quantity B as a percentage of B: $$ \frac{\text{A} - \text{B}}{\text{B}} \times 100 $$ | Used to find how much more literate males are than literate females in City D, relative to literate females. |
A percentage is a way of expressing a number as a fraction of 100. The symbol '%' is used to indicate percentage. For example, 16% means 16 out of 100, or $\frac{16}{100}$.
When calculating a percentage of a total amount, you convert the percentage to a decimal (by dividing by 100) and then multiply by the total. For instance, 16% of 40 lakh is calculated as $0.16 \times 40,00,000$.
Calculating percentage difference requires careful identification of the base quantity (the number you are comparing against). In the question "A is what percentage more than B?", B is the base quantity. The difference (A - B) is calculated as a percentage of B.
These skills are fundamental for solving data interpretation questions involving percentages and ratios, common in quantitative aptitude tests.
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?