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(a) In 2013, Mary worked for Company A. Her salary for the year was $18750. (i) $5625 of her salary was not taxed. What percentage of her salary was not taxed? Answer ....................................... % [2] (ii) The remaining $13125 of Mary’s salary was taxed. 22% of this amount was deducted for tax. Mary’s take-home pay was the amount remaining from $18750 after tax had been deducted. She received this in 52 equal amounts as a weekly wage. Calculate Mary’s weekly wage. Answer $ ......................................... [3] (iii) In 2012 Mary had worked for Company B. When she moved from Company B to Company A, her salary increased by 25% to $18750. Calculate her salary when she worked for Company B.

Question

(a) In 2013, Mary worked for Company A. Her salary for the year was 18750.(i)18750. (i) 5625 of her salary was not taxed. What percentage of her salary was not taxed? Answer ....................................... % [2] (ii) The remaining 13125ofMary’ssalarywastaxed.22Mary’stake−homepaywastheamountremainingfrom13125 of Mary’s salary was taxed. 22% of this amount was deducted for tax. Mary’s take-home pay was the amount remaining from 18750 after tax had been deducted. She received this in 52 equal amounts as a weekly wage. Calculate Mary’s weekly wage. Answer .........................................[3](iii)In2012MaryhadworkedforCompanyB.WhenshemovedfromCompanyBtoCompanyA,hersalaryincreasedby25 ......................................... [3] (iii) In 2012 Mary had worked for Company B. When she moved from Company B to Company A, her salary increased by 25% to 18750. Calculate her salary when she worked for Company B.

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Solution

(i) To find out what percentage of her salary was not taxed, you divide the untaxed amount by the total salary and multiply by 100.

So, 5625/5625 / 18750 * 100 = 30%.

So, 30% of Mary's salary was not taxed.

(ii) The remaining $13125 of Mary’s salary was taxed. 22% of this amount was deducted for tax.

So, the tax deducted is 13125∗22/100=13125 * 22/100 = 2887.5.

Mary’s take-home pay was the amount remaining from $18750 after tax had been deducted.

So, her take-home pay is 18750−18750 - 2887.5 = $15862.5.

She received this in 52 equal amounts as a weekly wage.

So, Mary’s weekly wage is 15862.5/52=15862.5 / 52 = 305.05.

(iii) When she moved from Company B to Company A, her salary increased by 25% to $18750.

To find her previous salary, you divide the new salary by 1.25 (since a 25% increase is the same as multiplying by 1.25).

So, her salary when she worked for Company B was 18750/1.25=18750 / 1.25 = 15000.

This problem has been solved

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