Question

Answer the questions on the basis of the information given below.

There are only four companies’ viz. W, X, Y and Z that manufacture motorcycles in the market. The motorcycles manufactured by these companies are one or the other of the five types viz. Chopper, Dirt bikes, Scooter, Cruiser and Racer.

The following 4 pie-charts provide information about the number of motorcycles of each of the types manufactured by the company as a percentage of the total number of motorcycles manufactured by that company.
The following chart provides information about the number of Cruiser bikes manufactured by each of the companies as a percentage of the total number of cruiser bikes manufactured by all the companies.
Q. By what percent is the number of chopper bikes produced by Y greater than the number of Racer bikes produced by X?

• A. 62.5%
• B. 60%
• C. 55.55%
• D. 50%

Answer 1

The correct option is B 60%

We already saw from previous question that total number of shirts manufactured by the companies W, X, Y and Z is: $\frac{5X}{6},\frac{5X}{4},\frac{4X}{3}$, and $\frac{6X}{5}$ respectively.

The following table lists down the number of motorcycles of each type manufactured by each of the companies, when the total number of Cruiser bikes manufactured is 100.

Company	Chopper	Dirt bike	Scooter	Cruiser	Racer	Total
W	15	13.33	10	25	20	83.33
X	37.5	18.75	18.75	25	25	125
Y	40	29.33	16	20	28	133.33
Z	22.8	24	24	30	19.2	120

Number of chopper bikes produced by Y = 40

Number of Racer bikes produced by X = 25
Reqd. percentage = $\frac{40-25}{25}\times 100=60\%$