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Question

Study carefully the table given below and answer the question asked here under.
The following table gives the percentage of students belonging to low income group in each of the five colleges A, B, C, D and E, along with the proportion of males and females with and without low income.
College NamePercentage of students
with low income
Proportion of males
and females
With low incomeWithout low income
M:FM:F
A355:66:7
B253:54:5
C241:22:3
D193:24:3
E155:33:2

What is the number of males without low income in College C if the total number of students in that college is 5000?

The correct answer is
1520

College C Students Without Low Income Calculation

First, determine the percentage of students in College C who do not belong to the low-income group.

  • Percentage of students with low income = 24%
  • Percentage of students without low income = 100% - 24% = 76%

Calculate Total Students Without Low Income

Next, calculate the actual number of students without low income using the total student count for College C.

  • Total students in College C = 5000
  • Number of students without low income = $ \frac{76}{100} \times 5000 $
  • Number of students without low income = $ 0.76 \times 5000 = 3800 $

Determine Number of Males Without Low Income

Finally, use the proportion of males and females without low income to find the number of males.

  • Proportion of males to females without low income = 2:3
  • The total parts in this proportion is $ 2 + 3 = 5 $.
  • Males constitute $ \frac{2}{5} $ of the students without low income.
  • Number of males without low income = $ \frac{2}{5} \times 3800 $
  • Number of males without low income = $ 2 \times 760 = 1520 $

Therefore, there are 1520 males without low income in College C.

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Important Questions from Tabulation

  1. An object is placed beyond the centre of curvature (C) of a concave mirror. The image formed will be now:
  2. Directions: 

    Using the data from the graph answer the question below: 

    Find the total number of males from sector P and females from sector R together. 

    Ratio of number of male and female employees

     MaleFemale
    P67
    Q59
    R98
    S78
    T35
  3. Directions: 

    Using the data from the graph answer the question below: 

    Number of Employees working in 5 different sector: 

    Find the number of males from sector Q.

     Ratio of number of male and female employees:

     MaleFemale
    P67
    Q59
    R98
    S78
    T35

     

  4. Directions: 

    Using the data from the graph answer the question below: 

    Find the ratio between number of males from the sector T to number of females from the sector S.

  5. Directions: 

    Using the data from the graph answer the question below: 

    Find the total number of males from sector Q and females from sector P together.

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