Read the information and answer the following questions. The table shows the…
2023
Read the information and answer the following questions.
The table shows the number of males working in private and public companies and number of females working in private and public company in four (A, B, C & D) different cities.
Note –
(i) Number of male employees in A are 50.
(ii) Total males working in private company from B and C are 154.
(iii) Total employees (male + female) working in any city = private companies + public company (iv) Males/females working in any city = Sum of males/females working in private and public company.
In city A, 40% of the females working in private company, then find the ratio females working in public companies from A to total males working in city D
- A.
11:35
- B.
35:11
- C.
13:11
- D.
11:13
- E.
none of these.
Show answer & explanation
Correct answer: A
Concept
Two unknowns in a data table are pinned down by forming one linear equation per given numeric condition and solving the simultaneous system. A percentage of a category is read as that fraction of the stated base, and a part of a whole equals the whole minus the other part.
Application
Set up the equations from the notes, using the table entries for city A (males in private = 15x − 2y, males in public = y):
Total males in A = (15x − 2y) + y = 15x − y = 50.
Total males in private companies from B and C = 16x + 9y = 154.
From the first equation, y = 15x − 50. Substitute into the second: 16x + 9(15x − 50) = 154, i.e. 16x + 135x − 450 = 154, so 151x = 604 and x = 4.
Then y = 15(4) − 50 = 10. So x = 4 and y = 10.
Females in city A total 55. Since 40% of them work in private companies, females in private = 40% of 55 = 22, and females in public = 55 − 22 = 33.
Total males in city D = males in private + males in public = 84 + 21 = 105.
Required ratio = females in public (A) : total males (D) = 33 : 105 = 11 : 35 (dividing both terms by 3).
Cross-check
Verify x = 4, y = 10 against both notes: total males in A = 15(4) − 10 = 50 ✓; private males in B + C = 16(4) + 9(10) = 64 + 90 = 154 ✓. Both conditions hold, and the ratio reduces cleanly: 33 : 105 → 11 : 35.