X’s salary is increased by 20%. On the increase, the tax rate is 10% higher. Find the percentage of increase in the tax liability

• Solution:
  If Previously he had to pay say Rs. X as tax
  After increase of 20% in salary he had to pay 20X/100 = X/5 Rs More Tax
  But in that increased amount the tax is also 10% Higher
  So now he had to pay (X/5)*(110/100) = 11X/50 Rs More Tax than Previous!
  So the increased % is ((11X/50)/X)*100 = 22% (Ans)
  
  ShortCut:
  If there is no increase in Taxation....
  Then 20% increase in salary implies 20%increase in Tax (as tax varies linearly with salary)
  now in that increased salary the tax also increased by 10%
  That means the total increase = 20 + 10% of 20 = 20+2 = 22% (Ans)
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