Question

The sum salary of a, b and c is 72000. They spend 80%, 85%and 75% of their salary. If the ratio of their saving is 8 : 9 : 20. What is the salary of a?

Answer 1

ANSWER : 16,000 RS

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THANKS FOR THE QUESTION !

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LET,

X BE THE COMMON MULTIPLE OF THE SAVINGS OF A , B , C

=> A : 8X RS

=> B : 9X RS

=> C : 20X RS

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EXPENDITURES OF A , B , C IN %

=> A : 80%

=> B : 85%

=> C : 75%

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THE SAVING OF A IN % :

=> 100% - EXPENDITURE

=> 100% - 80%

=> 20%

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BUT SAVING OF A IS 8X RS

=> TOTAL SALARY = 100% * 8X RS / 20%

=> TOTAL SALARY = 5 * 8X

=> TOTAL SALARY OF A = 40X RS

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SAVING OF B IN % :

=> 100% - 85%

=> 15%

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BUT SAVING OF B IS 9X RS

=> TOTAL SALARY OF B :

=> TOTAL SALARY = 100% * 9X RS / 15%

=> TOTAL SALARY = 60X RS

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SAVING OF C IN % :

=> 100% - 75%

=> 25%

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BUT SAVING OF C = 20X RS

=> TOTAL SALARY OF C :

=> TOTAL SALARY = 100% * 20X RS / 25%

=> TOTAL SALARY = 80X RS

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NOW ,

SUM OF SALARIES OF A , B , C IS GIVEN :

=> 72,000 RS

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=> 40X RS + 60X RS + 80X RS = 72,000 RS

=> 180X RS = 72,000 RS

=> X = 72,000 / 180

=> X = 400

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SALARY OF A :

=> 40X RS

=> 40*400 RS

=> 16,000 RS

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HOPE IT WILL HELP U........

THANKS AGAIN .......

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