Appeared for Mains = 6000.
Finally selected = 750
Percentage = $\displaystyle \frac{750}{6000} \times$ 100 = 12.5%.
2010:
Appeared for Mains = 6000.
Finally selected = 750.
Percentage = $\displaystyle \frac{750}{6000} \times$ 100 = 12.5%.
2011:
Appeared for Mains = 6500.
Finally selected = 1000.
Percentage = $\displaystyle \frac{1000}{6500} \times$ 100 = 15.38%.
2012:
Appeared for Mains = 6500.
Finally selected = 1200.
Percentage = $\displaystyle \frac{1200}{6500} \times$ 100 = 18.46%.
2013:
Appeared for Mains = 5500.
Finally selected = 1000.
Percentage = $\displaystyle \frac{1000}{5500} \times$ 100 = 18.18%.
2014:
Appeared for Mains = 7000.
Finally selected = 1300.
Percentage = $\displaystyle \frac{1300}{7000} \times$ 100 = 18.57%.
2015:
Appeared for Mains = 6500.
Finally selected = 600.
Percentage = $\displaystyle \frac{600}{6500} \times$ 100 = 9.23%.
As 1% of the candidates who appeared for preliminary is finally selected then the candidates appeared for preliminary will be 100 times of the candidates finally selected.
2010:
Finally selected = 750.
Appeared for preliminary = 750 x 100 = 75000.
Qualified/Appeared for Mains = 6000.
Percentage = $\displaystyle \frac{6000}{75000} \times$ 100 = 8%.
2011:
Finally selected = 1000.
Appeared for preliminary = 1000 x 100 = 100000.
Qualified/Appeared for Mains = 6500.
Percentage = $\displaystyle \frac{6500}{100000} \times$ 100 = 6.5%.
2012:
Finally selected = 1200.
Appeared for preliminary = 1200 x 100 = 120000.
Qualified/Appeared for Mains = 6500.
Percentage = $\displaystyle \frac{6500}{120000} \times$ 100 = 5.41%.
2013:
Finally selected = 1000.
Appeared for preliminary = 1000 x 100 = 100000.
Qualified/Appeared for Mains = 5500.
Percentage = $\displaystyle \frac{5500}{100000} \times$ 100 = 5.5%.
2014:
Finally selected = 1300.
Appeared for preliminary = 1300 x 100 = 130000.
Qualified/Appeared for Mains = 7000.
Percentage = $\displaystyle \frac{7000}{130000} \times$ 100 = 5.38%.
2015:
Finally selected = 600.
Appeared for preliminary = 600 x 100 = 60000.
Qualified/Appeared for Mains = 6500.
Percentage = $\displaystyle \frac{6500}{60000} \times$ 100 = 10.83%.
Ratio = $\displaystyle \frac{\text{Selected for interview}}{\text{Finally selected}}$
2010 = $\displaystyle \frac{1500}{750}$ = 2.
2011 = $\displaystyle \frac{2000}{1000}$ = 2.
2012 = $\displaystyle \frac{3000}{1200}$ = 2.5.
2013 = $\displaystyle \frac{2500}{1000}$ = 2.5.
2014 = $\displaystyle \frac{3250}{1300}$ = 2.5.
2015 = $\displaystyle \frac{2250}{600}$ = 3.75.
Total number of candidates appeared for Mains = 38000.
Total number of candidates finally selected = 5850.
Overall Average percentage = $\displaystyle \frac{5850}{38000} \times$ 100 = 15.39%.
In 2011:
Appeared for Mains = 6500.
Finally selected = 1000.
Percentage = $\displaystyle \frac{1000}{6500} \times$ 100 = 15.38%.
Total production in 2014 = 325 + 400 + 550 = 1275.
Total production in 2013 = 300 + 325 + 425 = 975.
Percentage of production in 2014 of 2013:
= $\displaystyle \frac{1275}{975} \times$ 100 = 130.76% or 130%.
In 2011 total => 250 + 250 + 450 = 950 Tons.
In 2012 total => 150 + 300 + 500 = 950 Tons.
State B:
2010 = 250, 2011 = 250, difference = 250 â€“ 250 = 0.
2011 = 250, 2012 = 300, difference = 300 â€“ 250 = 50 (Increase).
Percentage = $\displaystyle \frac{50}{250} \times$ 100 = 20% (Increase).
2012 = 300, 2013 = 250, Difference = 250 â€“ 300 = - 50 (Decrease)
Percentage = $\displaystyle \frac{50}{300} \times$ 100 = 16.66% (Decrease).
2013 = 250, 2014 = 400, Difference = 400 â€“ 250 = 150 (Increase).
Percentage = $\displaystyle \frac{150}{250} \times$ 100 = 60% (Increase).
2014 = 400, 2015 = 300, Difference = 300 â€“ 400 = - 100 (Decrease).
Percentage = $\displaystyle \frac{100}{400} \times$ 100 = 25% (Decrease).
Total production in 2014 = 1275.
Total production in 2010 = 850.
Increase/Rise in production = 1275 â€“ 850 = 425 Tons.
Increase % = $\displaystyle \frac{425}{850} \times$ 100 = 50%.
Total production by all the three states for the period = 6250 Tons.
Average production = $\displaystyle \frac{6250}{6}$ = 1041.66 Tons.
In two years = 2014 = 1275 Tons, 2015 = 1250 Tons.
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