Question : The tax on the salary of C is $\frac{1}{4}$th of the salary and savings are $\frac{1}{3}$rd of the salary. The ratio of the expenditures to the savings is_____.
Option 1: 4 : 5
Option 2: 4 : 3
Option 3: 5 : 4
Option 4: 3 : 4
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Correct Answer: 5 : 4
Solution :
Let the salary of C be $12a$.
⇒ Tax $= 12a × \frac14 = 3a$
And, savings $= 12a × \frac13=4a$
⇒ Expenditure $= 12a - 3a - 4a=5a$
⇒ Ratio of expenditure : saving $= 5a : 4a=5 : 4$
Hence, the correct answer is 5 : 4.
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