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.
The ratio of males working public company from C and females working in private company from city B is 4:5. The females working in public company from B is what percentage of males in public company in city A.
Answer: A. 780% — ConceptIn a data-interpretation table with algebraic cell entries, you first pin down the unknown letters using the side-conditions, then read every required…
- A.
780%
- B.
80%
- C.
180%
- D.
760%
- E.
708%
Attempted by 18 students.
Show answer & explanation
Correct answer: A
Concept
In a data-interpretation table with algebraic cell entries, you first pin down the unknown letters using the side-conditions, then read every required cell as a pure number. A "what percentage of" question is always (part ÷ base) × 100, where the part is the quantity asked about and the base is the quantity after the words "percentage of".
Setting up the equations
Males in city A are split as Private = 15x − 2y and Public = y, so total males in A = (15x − 2y) + y = 15x − y. Note (i) makes this 50, giving 15x − y = 50.
Males in private companies from B and C are 16x and 9y, so note (ii) gives 16x + 9y = 154.
From the first equation y = 15x − 50. Substituting: 16x + 9(15x − 50) = 154 → 16x + 135x − 450 = 154 → 151x = 604 → x = 4, and then y = 15(4) − 50 = 10.
Reading the required cells
Males in public company from C = 24 (read directly from the table). The given ratio is Males(public, C) : Females(private, B) = 4 : 5, so Females(private, B) = 24 × 5 ÷ 4 = 30.
Total females in city B (private + public) = 108, so Females(public, B) = 108 − 30 = 78.
Males in public company from A = y = 10.
Computing the percentage
Required percentage = (Females public B ÷ Males public A) × 100 = (78 ÷ 10) × 100 = 780%.
Cross-check
With x = 4, y = 10: males in A = 40 + 10 = 50 (matches note i) and males private in B + C = 64 + 90 = 154 (matches note ii), so the extracted figures 78 and 10 are consistent, confirming 780%.