Calculating Total Successful Girls in Academic Programmes

The question asks us to find the total number of girls who successfully completed their academic programmes based on the provided table and the information that the total number of girls in each programme is 90.

The table shows the percentage of girls who were successful in each programme:

• B.A.: 60%
• B.Sc.: 70%
• B.Com.: 60%
• B.B.A.: 60%
• B.C.A.: 80%
• B.Tech.: 60%

We are given that the total number of girls in each of these academic programmes is 90. To find the number of successful girls in each programme, we need to calculate the specified percentage of 90.

Step-by-Step Calculation of Successful Girls per Programme

We will calculate the number of successful girls for each academic programme:

• For B.A.: 60% of 90 = $\frac{60}{100} \times 90 = 0.6 \times 90 = 54$ girls
• For B.Sc.: 70% of 90 = $\frac{70}{100} \times 90 = 0.7 \times 90 = 63$ girls
• For B.Com.: 60% of 90 = $\frac{60}{100} \times 90 = 0.6 \times 90 = 54$ girls
• For B.B.A.: 60% of 90 = $\frac{60}{100} \times 90 = 0.6 \times 90 = 54$ girls
• For B.C.A.: 80% of 90 = $\frac{80}{100} \times 90 = 0.8 \times 90 = 72$ girls
• For B.Tech.: 60% of 90 = $\frac{60}{100} \times 90 = 0.6 \times 90 = 54$ girls

Calculating the Total Number of Successful Girls

Now, we sum the number of successful girls from each programme to find the total number of girls who successfully completed their academic programmes from the college.

Total successful girls = (Successful B.A. girls) + (Successful B.Sc. girls) + (Successful B.Com. girls) + (Successful B.B.A. girls) + (Successful B.C.A. girls) + (Successful B.Tech. girls)

Total successful girls = $54 + 63 + 54 + 54 + 72 + 54$

Let's add these numbers:

$54 + 63 = 117$

$117 + 54 = 171$

$171 + 54 = 225$

$225 + 72 = 297$

$297 + 54 = 351$

So, the total number of girls who have successfully completed the academic programmes from the college is 351.

Total successful girls = $54 + 63 + 54 + 54 + 72 + 54 = 351$.

Conclusion

Based on the data and calculations, the total number of girls who have successfully completed their academic programmes from the college is 351.

Revision Table: Successful Students Calculation

Additional Information: Analyzing Academic Data

Analyzing data presented in tables, like the one in this question, is a common task in various fields, including education and statistics. Such tables provide a concise way to summarize information and perform comparisons or calculations.

• Understanding Percentages: A percentage like 60% successful girls in B.A. means that for every 100 girls in the B.A. programme, 60 were successful. If the total number of girls is different from 100, we scale the number proportionally. In this case, if there are 90 girls, 60% of 90 is calculated.
• Importance of Identifying Relevant Data: The table contained data for both boys and girls, but the question specifically asked about girls. It was crucial to only use the percentages for girls.
• Consistency in Data: The problem stated that the total number of girls in *each* programme is 90. This simplified the calculation as the base number for the percentage calculation was the same for all programmes. If the total number of girls varied per programme, we would have to use a different base number for each calculation.
• Applications: This type of analysis is useful for colleges to understand performance across different programmes and demographics (boys vs. girls), identify areas needing improvement, or compare success rates.