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

Question

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.  New Comer 0