Problem

Emily earns $£ 4289$ each month before tax is taken out. This amount is then split into three parts:
She doesn't pay any tax on $£ 979$ of it. She pays $20 \%$ tax on $£ 3225$ of it. She pays $40 \%$ tax on the rest of it.
How much of Emily's monthly earnings are left after tax has been taken out?
Give your answer in pounds $(£)$.

Answer

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Answer

\(\boxed{3610}\)

Steps

Step 1 :Calculate the remaining amount taxed at 40%: \(4289 - 979 - 3225 = 85\)

Step 2 :Calculate the tax on £3225 (20% tax) and £85 (40% tax): \(0.20 \times 3225 = 645\) and \(0.40 \times 85 = 34\)

Step 3 :Subtract the total tax from Emily's initial earnings: \(4289 - 645 - 34 = 3610\)

Step 4 :\(\boxed{3610}\)

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