In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in scncol earlier, in one region, 25% were in G now, whereas the rest were enrolled in 12; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools.
What number of the surveyed kids now were in G in W?
In a follow up survey of the same kids two years later, it was found that all the kids were now in school. Of the kids who were not in scncol earlier, in one region, 25% were in G now, whereas the rest were enrolled in 12; in the second region, all such kids were in G now; while in the third region, 50% of such kids had now joined G while the had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined G. It was also seen that no surveyed kid had changed schools.
What number of the surveyed kids now were in G in W?
The correct option is A 6000
Number of kids going to government schools (G) =(55100)×30000=16500
Number of kids going to government schools (G) whose mothers had not completed primary education = 13500
Number of kids going to government schools (G) whose mothers had completed primary education = 16500 - 13500 = 3000
Number of kids from S going to government schools (G) = 6000
Number of kids from S going to government schools (G) whose mothers had not completed primary education = 5100
Number of kids from S going to government schools (G) whose mothers had completed primary education = 6000 - 5100 = 900
Therefore, number of kids from NE & W combined going to government schools (G) whose mothers had completed primary education = 3000 - 900 = 2100
Number of kids from NE & W combined going to government schools (G) whose mothers had not completed primary education = 4200 + 4200 = 8400
Total number of kids from NE & W combined going to government schools (G) = 8400 + 2100 = 10500
According to condition 3 given in the question, we have
Number of kids from NE going to government schools (G) = Number of kids from W going to government schools (G) =105002=5250
Now, Number of kids from S not going to school = 300
Number of kids from NE not going to school = 300 + 300 = 600
We know that total number of kids not going to school =(8100)×30000=2400
Therefore, number of kids from W not going to school = 2400 - 300 - 600 = 1500
As per the question, 50% of those not going to school earlier have joined government school (G) now =(12)×2400=1200
and if we observe and apply the new conditions given in the question, we have
Number of kids from S, who had not gone to school earlier, joining government school (G) now = 300
Number of kids from NE, who had not gone to school earlier, joining government school (G) now =(14)×600=150
Number of kids from W, who had not gone to school earlier, joining government school (G) now = =(14)×1500=750
The above three figures of 300 + 150 + 750 amount to 1200 which is the same number as the number of kids, not going to school earlier but joining government school (G) now.
Hence, total number of kids including recent joinees from W going to government school (G) = 5250 + 750 = 6000
6000
Number of kids going to government schools (G) =(55100)×30000=16500
Number of kids going to government schools (G) whose mothers had not completed primary education = 13500
Number of kids going to government schools (G) whose mothers had completed primary education = 16500 - 13500 = 3000
Number of kids from S going to government schools (G) = 6000
Number of kids from S going to government schools (G) whose mothers had not completed primary education = 5100
Number of kids from S going to government schools (G) whose mothers had completed primary education = 6000 - 5100 = 900
Therefore, number of kids from NE & W combined going to government schools (G) whose mothers had completed primary education = 3000 - 900 = 2100
Number of kids from NE & W combined going to government schools (G) whose mothers had not completed primary education = 4200 + 4200 = 8400
Total number of kids from NE & W combined going to government schools (G) = 8400 + 2100 = 10500
According to condition 3 given in the question, we have
Number of kids from NE going to government schools (G) = Number of kids from W going to government schools (G) =105002=5250
Now, Number of kids from S not going to school = 300
Number of kids from NE not going to school = 300 + 300 = 600
We know that total number of kids not going to school =(8100)×30000=2400
Therefore, number of kids from W not going to school = 2400 - 300 - 600 = 1500
As per the question, 50% of those not going to school earlier have joined government school (G) now =(12)×2400=1200
and if we observe and apply the new conditions given in the question, we have
Number of kids from S, who had not gone to school earlier, joining government school (G) now = 300
Number of kids from NE, who had not gone to school earlier, joining government school (G) now =(14)×600=150
Number of kids from W, who had not gone to school earlier, joining government school (G) now = =(14)×1500=750
The above three figures of 300 + 150 + 750 amount to 1200 which is the same number as the number of kids, not going to school earlier but joining government school (G) now.
Hence, total number of kids including recent joinees from W going to government school (G) = 5250 + 750 = 6000
