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  • A study to look at the early learning of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (5). 50 four-year old

A study to look at the early learning of rural kids was carried out in a number of villages spanning three states, chosen from the North East (NE), the West (W) and the South (5). 50 four-year old kids each were sampled from each of the 150 villages from NE, 250 villages from W and 200 villages from S It was found that of the 30000 surveyed kids 55% studied in primary schools run by government (G), 37% In private schools (P) while the remaining 8% did not go to school (0).
 

The kids surveyed were further divided into two groups based on whether their mothers dropped out of school before completing primary education or not. The table below gives the number of kids in different types of schools for mothers who dropped out of school before completing primary education:

 

G

P

O

Total

NE

4200

500

300

5000

W

4200

1900

1200

7300

S

5100

300

300

5700

Total

13500

2700

1800

18000

It Is also known that:
1. In S, 60% of the surveyed kids were in G. Moreover, in S, all surveyed kids whose mothers had completed primary education were in school.
2. In NE, among the 0 kids, 50% had mothers who had dropped out before completing primary education.
3. The number of kids in G in NE was the same as the number of kids in G in W. 
 

Question : 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 school earlier, in one region, 25% were in 0 now, whereas the rest were enrolled in F, in the second region, all such kids were in 0 now; while in the third region, 50% of such kids had now joined G while the rest had joined P. As a result, in all three regions put together, 50% of the kids who were earlier out of school had joined 0. It was also seen that no surveyed kid had changed schools.
What percentage of the surveyed kids in S. whose mothers had dropped Out before completing primary
education, were in G now? 

Option: 1

194.7%

 


Option: 2

89.5%


Option: 3

934%


Option: 4

Cannot be determined from the given information


Answers (1)

best_answer

The initial survey identified 2,400 kids who were not attending school. Among them, 600 were from NE, 1,500 were from W, and 300 were from S.

According to the given percentages, a certain number of kids were transferred to government schools (G). We need to determine the correct distribution to account for the total of 1,200 kids who shifted to G.

Considering the possibilities:

If 100% of NE kids (600), 25% of S kids (75), and 50% of W kids (750) were transferred, the total would be 600 + 75 + 750 = 1,425. However, this doesn't match the total of 1,200 kids transferred to G, so we can eliminate this case.

If 100% of NE kids (600), 25% of W kids (375), and 50% of S kids (300) were transferred, the total would be 600 + 375 + 300 = 1,275. This case also doesn't match the total of 1,200 kids transferred to G, so we can eliminate it as well.

Therefore, the correct case is where 50% of W kids (750), 25% of NE kids (150), and 100% of S kids (300) were transferred to G. This accounts for a total of 1,200 kids transferred.

Adding this to the existing count, 5,100 kids whose mothers had dropped out were already in G in S. With the transfer, an additional 300 students are included. So the total becomes 5,400 kids whose mothers had dropped out in G in S, out of a total of 5,700.

Calculating the percentage:    \frac{5,400}{5,700}=94.73 %

Therefore, the correct answer is option 1, which corresponds to a percentage of 94.73%.

Posted by

HARSH KANKARIA

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