All Junior Cert Mathematics posts
• #### Anyone get Question 3 today in maths hl paper it in the descrition Freedomhunter123

Eleanor has a gross income of €38500 for the year.

She has an annual tax credit of €3300.

The standard rate cut-off point is €33 800.

The standard rate of income tax is 20% and the higher rate is 40%.

(a) Find Eleanor’s net income for the year (i.e. after tax is paid).

Eleanor receives a pay rise. As a result, her net income for the year is €34780.

(b) Find Eleanor’s new gross income for the year.

1. #### Freedomhunter123

i didnt get part (b). (a) was piss easy

2. #### 5678

yeah loads didn't I got an answer but idk if it was right

3. #### Curley-Holmes

^ same, i got like 43000 (something around that)

Part B was 41200 (I actually guessed this in the exam and it happened to be right0

5. #### granners

I eventually did after an hour its 41200. The question was sneaky as you needed to use algebra and treat the gross income as x

6. #### Dazzla16

Here's how you work it out:

Gross income: x

Gross tax:

€33800 . 20% = €6760 (I used the full stop as a multiplication sign so you wont be confused by it and the variable 'x')

(x - €33800) . 40% = 2/5(x - €33800) = 2/5x - €13520

Total Gross tax: €6760 + 2/5x - €13520 = 2/5x - €6760

Tax credit: €3300

Net tax (tax payable): 2/5x - €6760 - €3300 = 2/5x - €10060

Net income: €34780

We know that: Gross income - Net tax = Net income

So: x - (2/5x - €10060) = €34780

5x - (2x - €50300) = €173900 (Multiplied both sides by 5)

5x - 2x + €50300 = €173900 (Remember: double negatives gives you a positive)

3x = €123600

x = €41200

Therefore: the Gross income was €41200.

7. #### Dazzla16

@damilola.adeniji.50 I must say, you're very lucky. Often people make an attempt at a question, but never arrive to the right answer. You, however, got it right! As long as you showed that a gross income of €41200 will give Eleanor (the person in the question) a net income of €34780, you would probably get full marks!

8. #### SStudent

I got close to it i think. oh well...i used cross multiplication

9. #### 5678

i can't remember what i got i don't think it was 41200 but it worked out when i checked it backwards :(

10. #### Kekkikz

How did I get here..