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 X in city N is 20% less than the total number of bikes sold by X in city M. Find the ratio of the total number of cars sold by Y in city N to the total number of bikes sold by Y in city K.
- A.
3:1
- B.
2:1
- C.
2:3
- D.
1:4
- E.
1:3
Show answer & explanation
Correct answer: E
Concept
In a table where a column gives a COMBINED total for two entities (X and Y) and another column gives ONE entity's share, the other entity's share is found by subtraction: share of the second entity = combined total - share of the first entity. A stated percentage change ("p% less") scales a base value by the factor (1 - p/100).
Reading the data
Total bikes (X+Y): K=328, L=560, M=440, N=620.
Total cars (X+Y): K=450, L=980, M=730, N=350.
Bikes sold by Y: K=210, L=320, M=90, N=195.
Application
Bikes sold by X in M = total bikes in M - bikes by Y in M = 440 - 90 = 350.
Cars sold by X in N = 20% less than bikes by X in M = 350 x (1 - 20/100) = 350 x 0.80 = 280.
Cars sold by Y in N = total cars in N - cars by X in N = 350 - 280 = 70.
Bikes sold by Y in K = 210 (read directly from the table).
Required ratio = cars by Y in N : bikes by Y in K = 70 : 210.
Divide both terms by 70: 70 : 210 = 1 : 3.
Cross-check
Scale back: 1 : 3 multiplied by 70 gives 70 : 210, which matches cars by Y in N (70) and bikes by Y in K (210). The order is fixed by the question (cars by Y in N FIRST, then bikes by Y in K), so the ratio is 1 : 3.