The incomes of X, Y and Z are in the ratio 5:7:9 and their expenditures are in the ratio 6:7:12. If X saves 30% of his income, then what is the ratio of their savings?
(a) 24:18:35
(b) 18:35:24
(c) 24:35:18
(d) 18:24:35

• (b) 18:35:24
  
  Let the ratio of X, Y and Z's incomes be 5a : 7a : 9a and expenditure be 6b : 7b : 12b
  Given X saves 30% of his income or 5a(30/100)=3a/2, so 5a - 6b = 3a/2
  => 7a=12b or b=7a/12
  Now saving of Y = 7a - 7b = 7a - 7*(7a/12)= 35a/12 and
  Saving of Z = 9a -12b = 9a - 12*(7a/12)= 2a
  
  So ratio of their savings= 3a/2 : 35a/12 : 2 = 18 : 35 : 24
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