Question
Elina allocates her total salary as follows: she pays 8%
as tax, then from the remaining amount, she spends 30% on rent, 20% on education, and Rs. 4500 on food. The rest of her salary, amounting to Rs. 18500, is saved. Determine the amount she pays as tax.Solution
Let the salary of Elina be Rs. 100x Tax paid by her = 100x X 0.8 = 8x After paying tax income of Elina = 100x - 8x = Rs. 92x Total expenditure of Elina on rent, education and food: = (92x X 0.5 + 4500) = Rs, (46x + 4500) ATQ, 92x - (46x + 4500) = 18500 Or, 46x - 4500 = 18500 + 4500 Or, 46x = 23000 So, 'x' = 500 Therefore, required amount = 100 X 50 X 0.8 = Rs. 4000
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