The number of male viewers of ZEE TV from city C is approximately ______ %…
2024
The number of male viewers of ZEE TV from city C is approximately ______ % more than the number of female viewers of SONY TV from city F?
Answer: D. 18.6 — ConceptWhen a group of total size T is divided in the ratio M : F, the terms of the ratio are parts, not counts: one part equals T ÷ (M + F), so the male…
- A.
12.4
- B.
15.2
- C.
17.3
- D.
18.6
Show answer & explanation
Correct answer: D
Concept
When a group of total size T is divided in the ratio M : F, the terms of the ratio are parts, not counts: one part equals T ÷ (M + F), so the male share is T × M/(M + F) and the female share is T × F/(M + F).
And "A is x% more than B" is always measured against B, the quantity that follows "more than": x = (A − B) ÷ B × 100. Changing which quantity sits in the denominator changes the figure, so fixing the base is the first step of such a comparison, not the last.
Application
Quantity needed | City | Channel | Total viewers | M : F | Working |
|---|---|---|---|---|---|
Male viewers | C | ZEE | 2610 | 3 : 2 | 2610 × 3/5 = 1566 |
Female viewers | F | SONY | 2508 | 9 : 10 | 2508 × 10/19 = 1320 |
City C, ZEE: total = 2610 and M : F = 3 : 2, so the number of parts is 3 + 2 = 5 and one part = 2610 ÷ 5 = 522. Male viewers = 3 × 522 = 1566.
City F, SONY: total = 2508 and M : F = 9 : 10, so the number of parts is 9 + 10 = 19 and one part = 2508 ÷ 19 = 132. Female viewers = 10 × 132 = 1320.
Excess of the male group over the female group = 1566 − 1320 = 246.
The stem asks by what per cent the first count exceeds the second, so the female count 1320 is the base: (246 ÷ 1320) × 100 = 18.63…%, which is approximately 18.6%.
Cross-check
Multiplying back, 1320 × 1.186 = 1565.5, essentially 1566, so 18.6% does reproduce the male count. Notice the asymmetry as well: measured the other way, 1320 is (246 ÷ 1566) × 100 = 15.7% less than 1566, not 18.6% less. The two figures differ because the base differs, which is exactly the trap this item sets.