In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students?
The students are divided into 3 + 2 = 
<gadget id="calculator">3+2</gadget>
<output>5</output>
5 parts where 3 parts are for males and 2 parts are for females.
Each part represents 1000/5 = 
<gadget id="calculator">1000/5</gadget>
<output>200</output>
200 students.
So, there are 3 x 200 = 
<gadget id="calculator">3*200</gadget>
<output>600</output>
600 males.
And there are 2 x 200 = 
<gadget id="calculator">2*200</gadget>
<output>400</output>
400 females.
Hence, 600 x 2/3 = 400 males play basketball.
And 400 x 1/5 = 
<gadget id="calculator">400*1/5</gadget>
<output>80</output>
80 females play basketball.
A total of 400 + 80 = 
<gadget id="calculator">400+80</gadget>
<output>480</output>
480 students play basketball.
Therefore, 1000 - 480 = 
<gadget id="calculator">1000-480</gadget>
<output>520</output>
520 do not like to play basketball.
The percentage of the school that do not like to play basketball is 520/1000 * 100 = 
<gadget id="calculator">520/1000*100</gadget>
<output>52</output>
52.

<result>52</result>