4MA0 Higher June 2013 Paper 4R Q5
5 A shop, Furniture 4U, had a sale.
(a) In the sale, normal prices were reduced by 15%.
(i) The normal price of a table was $280
Work out the sale price of the table.
Work out the sale price of the table.
(ii) The normal price of a chair was reduced in the sale by $24
Work out the normal price of the chair.
(6)Work out the normal price of the chair.
(b) Ruth, Suha and Yasmin went to the sale.
The amounts of money spent by Ruth, Suha and Yasmin were in the ratios 2 : 3 : 7
Ruth and Suha spent a total of $320 in the sale.
Work out the amount of money Yasmin spent in the sale. (3)
The amounts of money spent by Ruth, Suha and Yasmin were in the ratios 2 : 3 : 7
Ruth and Suha spent a total of $320 in the sale.
Work out the amount of money Yasmin spent in the sale. (3)
| Scheme | Marks |
|---|---|
| (i) \(\dfrac{15}{100} \times 280\) or 42 | M1 |
| 280 − “42” | M1 |
| 238 | A1 |
| (ii) \(\dfrac{24}{0.15}\) or \(24 \times \dfrac{100}{15}\) | M2 |
| 160 | A1 |
| (6) |
Notes
M1: M2 for \(\dfrac{85}{100} \times 280\)
M1: dep
A1: cao
M2: for \(\dfrac{24}{0.15}\) or \(24 \times \dfrac{100}{15}\)
M1 for \(\dfrac{24}{15}\) or 1.6
A1: cao
| Scheme | Marks |
|---|---|
| 2 + 3 or 5 | M1 |
| \(\dfrac{320}{5}\) or 320 ÷ “5” or 64 or \(\dfrac{7}{5}\) oe | M1 |
| 448 | A1 |
| (3) |
Notes
M1: 5 may be denominator of a fraction or coefficient in an equation such as \(5x = 320\)
M1: dep
A1: Also award for 128 : 192 : 448