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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. 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?

  2. In which state, the number of patients who recovered from covid-19 steadily decreasing?

  3. What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?

  4. 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.

  5. 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?

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