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.

Cities	Bikes sold by (X and Y)	Cars sold by (X and Y)	Bikes sold by Y
K	328	450	210
L	560	980	320
M	440	730	90
N	620	350	195

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?

The correct option is 64%.

Step 1: Understand the given data from the table

From the table provided in the question:

• In City K: Total Bikes (X + Y) = 328, Total Cars (X + Y) = 450, Bikes by Y = 210

• In City L: Total Bikes (X + Y) = 560, Total Cars (X + Y) = 980, Bikes by Y = 320

• In City M: Total Bikes (X + Y) = 440, Total Cars (X + Y) = 730, Bikes by Y = 90

• In City N: Total Bikes (X + Y) = 620, Total Cars (X + Y) = 350, Bikes by Y = 195

Step 2: Find the total number of bikes sold by X in city L

Total bikes sold by (X + Y) in city L = 560

Bikes sold by Y in city L = 320

Bikes sold by X in city L = Total bikes in L - Bikes sold by Y in L

$\text{Bikes sold by X in L}=560-320=240$

Step 3: Find the total number of cars sold by Y in city M

According to the given condition, 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.

$\text{Cars sold by Y in M}=240+200=440$

Step 4: Find the total number of cars sold by X in city M

Total cars sold by (X + Y) in city M = 730

Cars sold by X in city M = Total cars in M - Cars sold by Y in M

$\text{Cars sold by X in M}=730-440=290$

Step 5: Calculate the required percentage

We need to find what percentage the total number of cars sold by X in city M (290) is of the total number of cars sold by X and Y together in city K (450).

$\text{Required Percentage}=\left(\frac{290}{450}\right)\times 100$

$\text{Required Percentage}=\frac{29000}{450}=\frac{580}{9}\approx 64.44\%\approx 64\%$

Hence, the total number of cars sold by X in city M is approximately 64% of the total number of cars sold by X and Y together in city K.