## IGCSE Mathematics 0580/04/SP/20 Q1

**1 (a) **Kristian and Stephanie share some money in the ratio 3 : 2. Kristian receives $72.

**(i) **Work out how much Stephanie receives.

**(ii) **Kristian spends 45% of his $72 on a computer game.

Calculate the price of the computer game.

**(iii) **Kristian also buys a meal for $8.40 .

Calculate the fraction of the $72 Kristian has left after buying the computer game and the meal.

Give your answer in its lowest terms.

**(iv) Stephanie buys a book in a sale for $19.20 . This sale price is after a reduction of 20%.**

**Calculate the original price of the book.**

**(b) Boris invests $550 at a rate of 2% per year simple interest.**

**Calculate the value of the investment at the end of 10 years.**

**(c) Marlene invests $550 at a rate of 1.9% per year compound interest. **

**Calculate the value of the investment at the end of 10 years.**

**(d) Hans invests $550 at a rate of ***x***% per year compound interest.At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.**

** Find the value of ***x***.**

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