The total number of female viewers of COLORS TV from city C is approximately…

2024

The total number of female viewers of COLORS TV from city C is approximately ______ % of the total number of female viewers of Jio TV from city A.

Answer: B. 88Concept When a total is split in the ratio m : f, the share of one part equals the total multiplied by that part’s term and divided by the sum of the terms.…

  1. A.

    82

  2. B.

    88

  3. C.

    96

  4. D.

    108

Show answer & explanation

Correct answer: B

Concept

When a total is split in the ratio m : f, the share of one part equals the total multiplied by that part’s term and divided by the sum of the terms. Separately, a question of the form “X is what percent of Y” is answered by (X ÷ Y) × 100, in which Y — the quantity that follows the word “of” — is always the base of the comparison.

Application

The stem points at exactly two cells of the table, so pull those two rows out first:

Channel and city

Total viewers

M : F

Female viewers

COLORS, city C

2400

2 : 3

2400 × 3/5 = 1440

JIO, city A

2778

7 : 10

2778 × 10/17 ≈ 1634.12

  1. COLORS in city C has 2400 viewers split 2 : 3, so the ratio has 2 + 3 = 5 parts and women hold 3 of them: 2400 × 3/5 = 1440 women.

  2. JIO in city A has 2778 viewers split 7 : 10, so the ratio has 7 + 10 = 17 parts and women hold 10 of them: 2778 × 10/17 = 27780/17 ≈ 1634.12 women.

  3. The wording “… is approximately ___ % of the … Jio TV from city A” puts the JIO city-A figure after “of”, so 1634.12 is the base and 1440 is the compared quantity.

  4. Required percentage = (1440 ÷ 1634.12) × 100 = 144000/1634.12.

  5. 1440 ÷ 1634.12 ≈ 0.8812, and 0.8812 × 100 ≈ 88.12, which to the nearest whole number is 88.

Cross-check

Run the arithmetic backwards: 88% of 1634.12 is 1438.0, which sits within 2 viewers of the actual 1440, so 88 is the closest whole-number match. The neighbouring candidates miss by a wide margin — 82% of the base is about 1340 and 96% is about 1569, each more than 100 viewers away from 1440. A quick sanity filter also helps: 1440 is smaller than 1634, so the answer has to be under 100, and any candidate above 100 can be discarded before any calculation.

So the total number of female COLORS viewers in city C is approximately 88% of the total number of female JIO viewers in city A.

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