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IGCSE Mathematics - Percentages& Compound interest-Worksheet

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Answer the following 

1. Alex scored 72% for an examination out of 150 marks. How many marks did Alex score? 

2. Petra has a monthly income of $4700. She does not have to pay any tax on the first $2400 she earns, but she has to pay 15% of the remainder as tax. 

a How much tax does Petra have to pay?
b How much does Petra have left after tax?
c What percentage of the $4700 does Petra actually pay in tax? 

3. A camera is purchased for €650 and is marked up by 20% 
    Find: a the profit b the selling price 

4. Brad bought an old car for $600. He spent $1038 restoring it and sold it for $3500. Find his profit or loss on the sale. 

5. Calculate the simple interest on a $4000 loan at a rate of 7% per annum over 3 years. Hence find the total amount to be repaid. 

6. What rate of simple interest per annum would need to be charged on a loan of $20 000 if you wanted to earn $ 3000 in interest over 2 years? 

7. The value of an old book has increased by 35% to $540. What was its original value? 

8. A share trader buys a parcel of shares for $4250 and sells them for $3800.
   Calculate the percentage decrease in the investment 

9. Increase $3500 by 10% and then decrease the result by 14% 

10. $5000 is invested at 8% p.a. compound interest with interest calculated annually.
a What will it amount to after 3 years? b Find the interest earned. 

11. After 4 years a tractor purchased for €58 500 has a resale value of €35080.
Find its annual rate of depreciation. 

12. Biathlete Jo cycles 60 km at a speed of 30 km/h, and then runs another 15 km at a speed of 10 km/h.
Find: a the total time b the average speed for Jo’s training session. 

13. Ahmed earns $20000 each year.In 1991, he paid no tax on the first $3000 of his earnings. He paid 25% of the rest as tax.
Show that he paid $4250 as tax.


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