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.
Total number of cars sold by Y in city M is 200 more than the total number of bikes sold by X in city L. The total number of cars sold by X in city M is what percentage of the total number of cars sold by X and Y together in city K?
- A.
64%
- B.
58%
- C.
42%
- D.
79%
- E.
82%
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Concept
In a two-company table, each main cell is a COMBINED (X + Y) total while a separate column gives only ONE company's share. The other company's share in a cell is found by subtraction: (that company) = (combined total) - (given company). A "what percentage of" question is always (part) / (the stated whole) x 100, so the whole named in the question fixes the denominator.
Applying it here
Bikes sold by X in city L = combined bikes in L - bikes by Y in L = 560 - 320 = 240.
Cars sold by Y in city M = 200 more than bikes by X in L = 240 + 200 = 440.
Cars sold by X in city M = combined cars in M - cars by Y in M = 730 - 440 = 290.
The stated whole is the combined cars (X and Y) in city K = 450, read directly from the cars column.
Required percentage = 290 / 450 x 100 = 64.44%, which is 64%.
Cross-check
64% of 450 = 288, very close to 290, so rounding to 64% is sound. The denominator here is city K's combined cars (450) - not city M's cars and not any bikes figure; swapping in a different whole, or mixing bikes with cars, gives a different and wrong percentage.