Expenditure = $\displaystyle \frac{\text{Profit}}{\text{Profit}\%} \times 100 => \frac{250000}{20\%} \times$ 100 = 1250000.
Profit% of company B in 2012 => 20% = 250000.
Let expenditure be 100.
Income = Expenditure + Profit.
Income = 100 + 20% = 120% of the Expenditure.
Income = $\displaystyle \frac{\text{Profit}}{\text{Profit}\%} \times$ 120 Â (Expenditure + Profit)
=> $\displaystyle \frac{250000}{20} \times$ 120 = 1500000.
Ratio of Expenses:
$\displaystyle \frac{\text{A}}{\text{B}} = \frac{100}{125} \times \frac{120}{100} = \frac{12000}{12500} = \frac{24}{25}$
A : B = 24 : 25.
Profit % in 2012 => Company A = 25%, B = 20%.
Or 25% of A = 20% of B.
Percent to value inverse proportion.
Then value of A and B will be in 25 : 20 => inverse 20 : 25 or 4 : 5.
Percentage of profit in 2012 = 20%: 2013 = 30%.
Difference = 30% - 20% = 10%.
Increase % = $\displaystyle \frac{10}{20} \times$ 100 = 50%.
Qualified = 3500; Appeared = 5000.
Pass % = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.
In 2010 = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.
In 2011 = $\displaystyle \frac{2000}{6000} \times$ 100 = 33.33%.
Difference in percentage = 70% - 33.33% = 36.67%.
Pass percentages:
2010 = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.
2011 = $\displaystyle \frac{2000}{6000} \times$ 100 = 33.33%.
2012 = $\displaystyle \frac{2000}{4000} \times$ 100 = 50%.
2013 = $\displaystyle \frac{3000}{7000} \times$ 100 = 42.85%.
2014 = $\displaystyle \frac{4000}{5500} \times$ 100 = 72.72%.
2015 = $\displaystyle \frac{3000}{7000} \times$ 100 = 42.85%.
Total number of qualified candidates: 3500 + 2000 + 2000 + 3000 + 4000 + 3000 = 17500.
Total number of candidates appeared: 5000 + 6000 + 4000 + 7000 + 5500 + 7000 = 34500.
Pass % = $\displaystyle \frac{17500}{34500} \times$ 100 = 50.72% or 50%.
Appeared in 2010 = 5000; Qualified = 3500.
Pass % = $\displaystyle \frac{3500}{5000} \times$ 100 = 70%.
Appeared in 2015 = 7000; qualified = 3000.
Pass % = $\displaystyle \frac{3000}{7000} \times$ 100 = 42.85%.
70% - 42.85% = 27.14% or 27%.
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