Cite an example
It is known that in 2021, the total wage income for A, the year-on-year growth rate of a; the total number of people for B, the year-on-year growth rate of b; ask: 2021 per capita wage income year-on-year growth rate of how much?
Problem identification: from the question, ? per capita wage income? That is, the concept of average, and the emergence of? The rate of growth? The concept of the average can be analyzed for the average growth rate.
Application of the formula:
Special attention: here a for the growth rate of the numerator, b for the growth rate of the denominator. For example: per capita wage income that is , so wage income for the numerator, a for the growth rate of wage income, the number of people for the denominator, b for the growth rate of the number of people; and then, cotton acres of production year-on-year growth rate, that is, production for the molecule, a for the growth rate of production, acres for the denominator, b for the growth rate of the number of acres. Therefore, solve the problem directly into the formula for a and b can be.
Example 1 In 2016, the national catering revenue was 357.99 billion yuan, an increase of 10.8% year-on-year, and catering revenue accounted for 10.8% of total retail sales of consumer goods.In 2016, there were 3,655,000 catering industry operating units in the whole society, a year-on-year decrease of 8.2%; the number of employees was 18,460,000 people, a year-on-year increase of 5.7%.
The average number of employees per operating unit in the catering industry in the whole society in 2016 was about:
A. decreased by 2% B. decreased by 15%
C. increased by 2% D. increased by 15%
Answer D
Ans The first step is to identify the question type. From the question, ? The average number of employees per business unit? , that is, the concept of average, combined with the option appears again? Percentage increase/decrease over the previous year? That is, the concept of growth rate, linked to identify the points for the average growth rate.
The second step, the application of the formula. The average number of employees per business unit, that is, the number of employees for the numerator, a for the growth rate of the number of employees, the number of business units for the denominator, b for the growth rate of the number of business units. That is, a = 5.7%, b = -8.2%
The third step, substitute the formula, .
Hence, choose option D.
Example 2 In the first three quarters of 2018, the total amount of social logistics in Province S was 3,535,726,000,000 yuan, an increase of 6.4% year-on-year, with the growth rate slowing down by 0.7 percentage points compared with that of the first half of the year.
In the first three quarters of 2018, the total cost of social logistics in Province S was 268.21 billion yuan, an increase of 6.3% year-on-year, a slowdown of 0.9 percentage points compared with the first half of the year, of which: the total cost of the logistics and transportation link was 185.46 billion yuan, an increase of 6.3% year-on-year; the total cost of the storage link was 61.24 billion yuan, an increase of 6.4% year-on-year; the total cost of the management link was 21.49 billion yuan, a year-on-year increase of 6.4%.
In the first three quarters of 2018, the average logistics costs generated per 10,000 yuan of total social logistics compared with the same period of the previous year:
A. declined by less than 1%B. declined by more than 1%
C. rose by less than 1%D. rose by more than 1%
Answer A
Ans The first step is to identify the question type. As can be seen from the question, ? The average logistics costs incurred per 10,000 yuan of total social logistics? , that is, the concept of average, combined with the options and appeared? than the same period last year, up / down percentage? that is the concept of growth rate, linked to identify the points for the average growth rate.
The second step, the application of the formula. The second step, the application of the formula, the average of every million yuan of total social logistics generated logistics costs, that is, logistics costs for the molecule, a for the growth rate of logistics costs, total logistics for the denominator, b for the growth rate of total logistics. That is, a = 6.3%, b = 6.4%
The third step, substitute the formula, .
Therefore, choose option A.
Through the above study, in fact, we found that the average growth rate of this test is not difficult, keep in mind the question identification method, accurate application of the formula is its winning formula. Of course, in recent years, there are some renovations on this test, such as a and b unknown, the average growth rate, or known b and r, a and other types of questions, I hope that the students mastered the basic questions, but also to grasp the new method of questioning strategy.