Mathematics 0580 · IGCSE · Ratio and proportion

Ratio and proportion — practice question

Alex is constructing a house. The materials cost $1\frac{1}{2}$ times the land cost. The wages cost $1\frac{1}{4}$ times the land cost.
(a)[2]

Show that the ratio of the costs, in simplest form, is land : materials : wages = 4 : 6 : 5.

(b)[2]

Show that the combined cost of land, materials and wages is $142 500$.

(c(i))[2]

Find the cost of the land.

(c(ii))[1]

Find the cost of the materials.

(d)[3]

Alex takes out a loan of $28 000$ for 6 years at 5.5% per year compound interest. Calculate the amount he repays at the end of the 6 years. Give your answer correct to the nearest dollar.

(e)[2]

When Alex sells the house, he earns a profit of 27% on the $142 500. Calculate the selling price of the house.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The ratio is $1 : 1.5 : 1.25$ or $1 : 1\frac{1}{2} : 1\frac{1}{4}$.

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