Read the following table carefully and answer the questions given below. The…

2024

Read the following table carefully and answer the questions given below. The table shows the total number of bikes sold by two (X and Y) different companies in four (K, L, M, and N) different cities and the total number of cars sold by these two companies in these cities. The table also shows the total number of bikes sold by company Y in these cities.

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If total number of cars sold by Y in city K are two-fifth of the total number of bikes sold by Y in city K, then find the difference between the total number of cars sold by X in city K and bikes sold by X in city M.

  1. A.

    22

  2. B.

    16

  3. C.

    23

  4. D.

    15

  5. E.

    18

Show answer & explanation

Correct answer: B

Concept

In a data-interpretation table where a total is split between two parts, any single part equals the total minus the other part. Here each city's figure for the two companies combined (X + Y) is a total, so the value for one company alone is found by subtracting the other company's value: X-value = (X + Y total) - Y-value.

Applying it to this item

  1. Cars sold by Y in city K are given as two-fifths of the bikes sold by Y in city K. Bikes by Y in K = 210, so cars by Y in K = (2/5) x 210 = 84.

  2. Cars sold by X in city K = total cars in K - cars by Y in K = 450 - 84 = 366.

  3. Bikes sold by X in city M = total bikes in M - bikes by Y in M = 440 - 90 = 350.

  4. Required difference = cars by X in K - bikes by X in M = 366 - 350 = 16.

Cross-check

Re-add the parts to confirm the splits: in K, cars by X (366) + cars by Y (84) = 450, the table total; in M, bikes by X (350) + bikes by Y (90) = 440, the table total. Both reconstruct the originals, so the difference 366 - 350 = 16 is consistent.

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