In western Europe, x bicycles were sold in each of the years 1990 and 1993.
Dear Sir,
need great advise. my understanding on the question is different from the official solution.
assume number of bike is 100
1990 = 42/100 * 100 = 42
1993 = 33/100*100 = 33
the decrease in number of bike = new – old / old * 100
= 33 – 42 / 42 * 100
= 9/42 * 100
why it is wrong sir. Many thanks . Hope to hear from you.
In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
A) 9% of (x/100) B) 14% of (x/100) C) 75% of (x/100) D) 9% of x E) 14% of x
Let us go by your assumption :
Total number of bikes in the market is 100 in 1990 and 1993
In 1990 market share = 42/100 * 100 = 42
In 1993 market share = 33/100*100 = 33
Decrease in the number of bikes produced by the company is 42 – 33 = 9
Now take a deep breath and read the last line of the question very carefully. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?
They are asking for the decrease in market share.
In 1990 the market share was 42 percent and in 1993 the market share was 33 percent.
So the decrease is 9 %
So to find the number of bikes: 0.09x or 9 percent of x.
Now coming to the question: Where did you go wrong.
What you found out the percent decrease in production from the producers of Western Europe in the same period.
= 33 – 42 / 42 * 100
= 9/42 * 100
Hope everything is clear!