Graphical Reasoning Logic Judgment Definition Judgment Analogy Reasoning
In the test, the data analysis is different from the quantitative relationship that requires strong logical thinking ability and the ability to learn from each other, but most of them have a fixed mix and regularity. The reason why everyone is not correct in the problem is that the underlying reason is that they cannot really understand the intention of the material. For example, for the expression of growth rate, there are seventy-two changes like Sun Wukong, which leaves us unconscious. Often some students will choose to memorize it directly, but they do not know if the expression method has changed slightly. CCP Education takes everyone to explore how to understand memory to judge growth rates in different descriptions.
First, the situation when the growth rate is positive
[Example 1] In 2012, China ’s total retail sales of social consumer goods was 18.39996 trillion yuan, an increase of 14% year-on-year, and the increase rate was 1 percentage point larger than the previous year. What was the growth rate of the previous year?
[Answer] 13%
[Chinese public analysis] We can analyze in this way, the growth rate of 14% in 2012 is obtained after expanding by 1 percentage point from 2011, so the growth rate in 2011 should be smaller, and then the subtraction is used, so the growth rate in 2011 is obtained. It is 14% -1% = 13%.
[Example 2] In 2012, China ’s total retail sales of social consumer goods was 18.39996 trillion yuan, an increase of 14% year-on-year, and the growth rate was reduced by 1 percentage point from the previous year. What was the growth rate of the previous year?
[Answer] 15%
[Chinese public analysis] According to the explanation of the previous example, we still analyze according to this idea. The growth rate in 2012 was 14%, which was reduced by 1 percentage point from 2011. Therefore, it should be larger in 2011, so use addition. 14% + 1% = 15%
Second, the situation when the growth rate is negative
[Example 3] In 2012, China ’s total retail sales of social consumer goods was 18.39996 trillion yuan, an increase of -14% year-on-year, and the growth rate was 1 percentage point larger than the previous year. What was the growth rate of the previous year?
[Answer] -15%
[Chinese public analysis] The growth rate of -14% in 2012 was obtained by an increase of 1 percentage point from 2011. Therefore, the growth rate in 2011 should be small, and subtraction is used. Therefore, the growth rate in 2011 is -14% -1% =-15%.
[Example 4] In 2012, China ’s total retail sales of social consumer goods was 18.39996 trillion yuan, an increase of -14% year-on-year, and the growth rate was reduced by 1 percentage point from the previous year. What was the growth rate of the previous year?
[Answer] -13%
[Chinese public analysis] The growth rate of -14% in 2012 was obtained by reducing by 1 percentage point from 2011. Therefore, the growth rate in 2011 should be large, and addition is used. Therefore, the growth rate in 2011 is -14% + 1% =-13%.
[Example 5] In 2012, China's total retail sales of social consumer goods was 18.39996 trillion yuan, an increase of -14% year-on-year, and the decline rate increased by 1 percentage point compared with the previous year. What was the growth rate of the previous year?
[Answer] -13%
[Chinese public analysis] The difference between this question is that when it comes to "decline", we can understand it like this, the growth rate in 2012 is -14%, "minus sign" represents a decline, and "14%" represents a range, so the question can be In this way, the range of 14% is obtained after being expanded by 1 percentage point. Therefore, the range is smaller before the expansion, so the subtraction is 14% -1% = 13%, so the rate of increase in 2011 is 13%, plus A negative sign, that is, a decline of -13% in 2011.
[Example 6] In 2012, China ’s total retail sales of social consumer goods was 18.39996 trillion yuan, an increase of -14% year-on-year, and the decrease was 1 percentage point smaller than the previous year. What was the growth rate of the previous year?
[Answer] -15%
[Chinese public analysis] The same analysis of the previous question, the growth rate in 2012 is -14%, "minus sign" represents a decline, "14%" represents the range, so the problem can be understood this way, the range of 14% is reduced by 1 percentage point. Come, so before the reduction is larger, the addition is 14% + 1% = 15%, so the growth rate in 2011 is 15%, plus the negative sign, that is, the decline in 2011 is -15%. At the same time, it sometimes describes that the decline is narrowed or decreased. In fact, the meaning of reduction and reduction is the same.
Summary: Summarize the various situations in the above example, everyone just need to remember this formula
Regardless of the positive or negative growth rate, the expansion and subtraction decrease and increase;
Only the difference is not the same, add '-' after adding or subtracting
Although there are various expressions of growth rate, as long as we understand it and then remember it, the effect must be more effective than rote memorization. And with the help of memorizing tips, even if it changes in 72, we can cope with it.
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