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Directions (1 - 5): Study the following table carefully and answer the questions that follow:
Semester fees (In Rs. thousands) for five Different Courses in 6 different years.
Year Course
B. Tech. M.Sc. B. Ed. M. Phil. Diploma
2005 11.5 5.8 7.5 4.7 1.8
2006 14.5 6.4 11.6 5.8 3.2
2007 20.0 10.2 13.9 8.6 4.8
2008 22.2 14.6 15.8 12.7 5.6
2009 35.8 17.7 18.5 25.1 12.5
2010 50.7 20.9 22.6 18.9 14.9
1
What was the average semester fee charged for M. Sc. course over all the years together?
Discuss
Answer & Solution
Average semester fee for M. Sc. course over the give years.
$$=\frac{\left(5.8+6.4+10.2+14.6+17.7+20.9 \right)\times1000}{6}$$
$$\eqalign{ & = \frac{75.6\times1000}{6} \cr & = \frac{75600}{6} \cr & = \text{Rs. }12600 \cr} $$
2
What was the total semester fee charged for all the course together in the year 2006?
Discuss
Answer & Solution
Total semester fee for all the courses in 2006
= Rs. (14.5 + 6.4 + 11.6 + 5.8 + 3.2) × 1000
= Rs. (41.5 × 1000)
= Rs. 41500
3
What was the approximate per cent increase in the semester fees of B. Ed. course in the year 2007 as compared to the previous year?
Discuss
Answer & Solution
Percent increase in semester fees of B. Ed. in the year 2007 as compared to 2006.
$$\eqalign{ & = \left\{ \frac{\left(13.9-11.6\right)}{11.6}\times100 \right\} \% \cr & = \left(\frac{2.3}{11.6}\times100\right)\% \cr & = \frac{2300}{116}\% \cr & = \frac{575}{29}\% \cr & = 19.8\% \cr & \approx 20\% \cr} $$
4
What was the difference between the total semester fee charged for diploma course over the years together and the fee charged for B. Tech Course in the year 2009?
Discuss
Answer & Solution
Required difference
= Rs. {(1.8 + 3.2 + 4.8 + 5.6 + 12.5 + 14.9) × 1000 - (35.8 × 1000)}
= Rs. {(42.8 × 1000) - (35.8 × 1000)}
= Rs. (7 × 1000)
= Rs. 7000
5
The semester fee charged for M. Phil course in the year 2008 was approximately what percentage of the semester fee charged for M. Sc course in the year 2009?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required Percentage} \cr & = \left\{\frac{\left(12.7\times1000\right)}{\left(17.7\times1000\right)}\times100\right\} \%\cr & = \left(\frac{127}{177}\times100\right)\% \cr & = \frac{12700}{177}\% \cr & = 71.75\% \cr & \approx 72\% \left(\text{Approx}\right) \cr} $$