The table given below shows the number of persons participating in a survey from 6 different states. 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?States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800
4 ∶ 5
Finding the Ratio of Persons Participating in a Survey
The question asks us to find the ratio of the number of persons participating in a survey from state S3 to the number of persons participating in a survey from state S4. We are given a table that shows the number of participants from 6 different states.
| States | Persons |
|---|---|
| S1 | 100 |
| S2 | 200 |
| S3 | 400 |
| S4 | 500 |
| S5 | 600 |
| S6 | 800 |
Identifying the Number of Participants for S3 and S4
From the given table, we can find the number of persons participating from state S3 and state S4:
- Number of persons from state S3 = 400
- Number of persons from state S4 = 500
Calculating the Ratio
The ratio of the number of persons from state S3 to the number of persons from state S4 is written as:
Ratio = (Number of persons from S3) : (Number of persons from S4)
Substituting the values from the table:
Ratio = 400 : 500
Simplifying the Ratio
To simplify the ratio 400 : 500, we need to find the greatest common divisor (GCD) of 400 and 500. Both numbers are divisible by 100.
- Divide the first number (400) by 100: \(400 \div 100 = 4\)
- Divide the second number (500) by 100: \(500 \div 100 = 5\)
So, the simplified ratio is 4 : 5.
In mathematical notation, this is written as \(4 \ratio 5\).
Comparing with Options
We compare our calculated ratio \(4 \ratio 5\) with the given options:
- Option 1: \(3 \ratio 5\) (Does not match)
- Option 2: \(5 \ratio 4\) (Does not match, this is the inverse ratio S4:S3)
- Option 3: \(4 \ratio 3\) (Does not match)
- Option 4: \(4 \ratio 5\) (Matches)
Therefore, the ratio of the number of persons participating in a survey from state S3 to the number of persons participating from state S4 is \(4 \ratio 5\).
Revision Table: Survey Ratio Calculation
| Step | Description | Value/Result |
|---|---|---|
| 1 | Number of persons from S3 | 400 |
| 2 | Number of persons from S4 | 500 |
| 3 | Initial Ratio (S3:S4) | 400 : 500 |
| 4 | Simplify Ratio (Divide by 100) | \(400 \div 100 : 500 \div 100\) |
| 5 | Final Simplified Ratio | \(4 \ratio 5\) |
Additional Information: Understanding Ratios
A ratio is a way to compare two or more quantities of the same kind. It shows how many times one quantity is contained in another. Ratios are often written using a colon (:) between the quantities.
- For example, the ratio of apples to oranges in a basket might be 2:3, meaning for every 2 apples, there are 3 oranges.
- Ratios can often be simplified by dividing all parts of the ratio by their greatest common divisor (GCD). This does not change the relationship between the quantities, just the numbers used to express it.
- The order of the quantities in a ratio matters. The ratio S3 : S4 is different from the ratio S4 : S3.
Similar Questions
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 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
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690
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What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?A = Total number of cars manufactured by all the companies.
K = Difference between the number of C3 type cars manufactured by company H and the number of B3 type bike manufactured by company E.
What is the value of A : K?
H = Total number of B2 type bike manufactured by all the companies.
R = Total number of C1 type car manufactured by company F, G and D together.
What is the value of H / R?
What is the difference between the total number of C3 type car manufactured by company E and G together and the number of bikes of type B1 manufactured by company H?
What is the average of the total number of cars of type C1 manufactured by the given 5 companies?
Total number of bikes manufactured by company D is what percentage of total number of cars of type C1 manufacture by company G?
In the table, the production and the sale (in 1000 tonnes) of a certain product of a company over 5 years is given.
Years
Production (in 1000 tonnes)
Sale
(in 1000 tonnes)
2015
1250
1000
2016
1400
1290
2017
1450
1100
2018
1500
1450
2019
1600
1390
In which year(s) the production increases by more than 10% of that in the previous year?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
What is the ratio of salary of Varun to his income other than salary?study the following table and answer the question:
Percentage of marks obtained by six students in five subjects A, B,C, D & E.
Students
Subjects
A
(Out of 75)
B (
Out of 80)
C
(Out of 100)
D
(Out of 50)
E
(Out of 150)
Manju
68
85
86
72
92
Amit
64
65
80
96
80
Rekha
88
75
65
74
90
Anuj
80 55
68
66
84
Abhi
72
65
72
54
74
Vikram
60
70
73
84
86
The total marks obtained by Anuj in all the five subjects are?
Important Questions from Tabulation
What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?
In which state, the number of patients who recovered from covid-19 steadily decreasing?
What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?
Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.
In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?
