The proportion problem is the question type in the analysis of the vocational test data of public institutions, in which the current proportion is an important section of the content, it can appear as an independent question, or it can appear in a mixed way with other knowledge points, and its difficulty itself is not high, but its extended question type still needs to attract the attention of candidates.
1) Question type identification.
The characteristics of the question type of the current weight are generally as follows:
The proportion of current time + subject A to subject B is;
The proportion of subject A in the current time + subject B is:
2) Regular question types.
The basic formula of the current proportion is: specific gravity = partial quantity overall quantity, and the data for regular questions can be substituted and calculated according to the cut-off of the option gap, for example:
Example 1] At the end of 2020, there were 43,687 mass cultural institutions in the country, a decrease of 386 from the end of the previous year. Among them, there were 32,825 township comprehensive cultural stations, a decrease of 705. At the end of the year, there were 185076 employees in mass cultural institutions nationwide, a decrease of 4,992 over the end of the previous year. Among them, there are 7,075 people with senior professional titles and 17,969 people with intermediate professional titles.
In 2020, among the employees of mass cultural institutions in the country, the proportion of employees with intermediate and senior professional titles is about:
a.8% b.14%
c.27% d.38%
Analysis] The problem structure is "the proportion of subject A (employees with intermediate and senior professional titles) in the current time (2020) + subject B (employees of national mass cultural institutions)", in order to find the question type of the current proportion, the partial amount is 7075 + 17969, and the whole is 185076, according to the proportion = part of the overall quantity, and the option gap is large, after the interception processing, it is (7 + 18) 185 = 25 185, the first quotient is 1, so option B is selected.
3) Extended question type.
In addition to the conventional formula to solve the current proportion, the current proportion difference and the pie-shaped proportion chart will also be solved.
Example 2] In November 2015, 20 cultural and creative industry functional zones in Beijing achieved a revenue of 7019800 million yuan, a year-on-year increase of 75%, which is higher than the average growth rate of the city's cultural and creative industry income of 12 percentage points, accounting for 68 percent of the city's cultural and creative industry income8%。Its Chinese science and technology integration demonstration functional area achieved revenue of 3772500 million yuan, a year-on-year increase of 78%, accounting for 537%;The cultural and financial integration functional area achieved an income of 436500 million yuan, a year-on-year increase of 10%, accounting for 62%。
In November 2015, how many percentage points higher was the proportion of the income of the cultural and creative industry in the city's cultural and creative industry income in the cultural and technological integration demonstration functional area in November 2015? (
a.69 b.48
c.33 d.25
Analysis] Method 1: According to January 11, 2015, 20 cultural and creative industry functional zones in Beijing achieved an income of 7019800 million yuan....It accounts for 68 percent of the city's cultural and creative industry income8%, the city's cultural and creative income is: 70198/68.8% 1,020 billion yuan, then the above question column is 37725/10200-436.5/10200=(3772.5-436.5) 10200 = 3336 10200, the first quotient 3, so choose option C.
Method 2: If the proportion of A accounts for B is A, and the proportion of B accounts for C is B, then A C=A BxB C=A% B, the proportion of the income of the cultural and technological integration demonstration functional area in the city's cultural and creative industry income is: 688%×53.7%, and the proportion of the income realized by the cultural and financial integration functional area in the city's cultural and creative industry income is 688%×6.2%, the difference between the two is: 688%×(53.7%-6.2%)=68.8%×47.5%≈33%。