Question 130

The incomes of A, Band C are in the ratio 7 : 9 : 12 and their spendings are in the ratio 8 : 9 : 15. If A saves 1/4 th of his income, then the savings of A, B and C are in the ratio of

Solution

let the income of  A , B , C  be 7a, 9a, 12a 

and expenditure be 8b, 9b, 15b respectively 

saving of A = 7a - 8b 

savings of B = 9a - 9b 

saving of C = 12a - 15b

given that 7a - 8b = 7/4 a

28a - 32b = 7a 

21a = 32b 

b = 21/32a

ratio of saving of A , B , C is :-

7/4a : 99a/32 : 69/32a 

56 : 99 : 69


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