In all the six months combined _________% more votes are required by company A…
2024
In all the six months combined _________% more votes are required by company A to equal the total votes polled by company D.
Answer: B. 145 — ConceptFor a base quantity B and a target quantity T, the percentage increase needed to reach the target is ((T − B) / B) × 100. The difference T − B is…
- A.
150
- B.
145
- C.
133
- D.
88
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept
For a base quantity B and a target quantity T, the percentage increase needed to reach the target is ((T − B) / B) × 100. The difference T − B is measured relative to the original base B.
Application
Add company A’s votes across the six months: 1.5 + 1.0 + 1.0 + 1.5 + 2.0 + 3.0 = 10.0 lakh.
Add company D’s votes across the six months: 4.0 + 4.0 + 3.5 + 4.5 + 4.5 + 4.0 = 24.5 lakh.
Compute the required increase: ((24.5 − 10.0) / 10.0) × 100 = (14.5 / 10.0) × 100 = 145%.
Cross-check
Increasing 10.0 lakh by 145% adds 14.5 lakh, and 10.0 + 14.5 = 24.5 lakh, which equals company D’s total.
Therefore, company A requires 145% more votes.