16 a ×= £996 £1162 M1 2 M1 for multiplication M A A1 3 A1 cao = £996 = £1162 A × 1.04 = £6.50 A = = £6.25 A b × 1.07 = £957.65 £6.25 M1 M1 for multiplication by 1.04 and rearrangement A = £= £895 A1 A1 cao A If the original amount is the multiplier is A, for a percentage increase or decrease, b c £895 M1 M1 for multiplication by 1.07 and rearrangement and the new value is C: A1 A1 cao × = A b C = × A C d B1 B1 for correct explanation either in words or by a general formula, provided the variables are defined If the multiplier is x: > 1 means an increase e x B1 B1 for clarity that a decrease has a multiplier between 0 < < 1 means a decrease. x 0 and 1 and increase has a multiplier greater than 1 (a multiplier of 1 will not change the value) 8 17 a Comparing salary in May and April: B1 3 B1 for subtraction of April salary from May salary M £1568 £1544 = £24 B1 B1 for clearly comparing the salary difference with the – Comparing sales in May and April: sales difference £24 is earned on £4000 sales. 24 000 ÷ 4000 = 6 6 £24 = £144 B1 B1 for division and multiplication to establish basic £1544 £144 = £1400 salary (ft) – So the basic salary is £1400. £1553 £1400 = £153 – == 6.375 6.375 × 4000 = £25 500 B1 B1 for correct calculations to find sales figure (ft) £25 500 Own question b Own question B1 B1 for clear question with reasoning and solution 5
16 a b c d e A ×= £996 A = £996 = £1162 A × 1.04 = £6.50 A = = £6.25 A × 1.07 = £957.65 A = £= £895 If the original amount is A, the multiplier is b for a percentage increase or decrease, and the new value is C: A × b = C £1162 £6.25 £895 A = C × If the multiplier is x: x > 1 means an increase 0 < x < 1 means a decrease. M1 A1 M1 A1 M1 A1 B1 B1 2 3 M1 for multiplication A1 cao M1 for multiplication by 1.04 and rearrangement A1 cao M1 for multiplication by 1.07 and rearrangement A1 cao B1 for correct explanation either in words or by a general formula, provided the variables are defined B1 for clarity that a decrease has a multiplier between 0 and 1 and increase has a multiplier greater than 1 (a multiplier of 1 will not change the value) M 8 17 a b Comparing salary in May and April: £1568 – £1544 = £24 Comparing sales in May and April: £24 is earned on £4000 sales. 24 000 ÷ 4000 = 6 6 £24 = £144 £1544 – £144 = £1400 So the basic salary is £1400. £1553 – £1400 = £153 == 6.375 6.375 × 4000 = £25 500 Own question £25 500 Own question B1 B1 B1 B1 B1 3 B1 for subtraction of April salary from May salary B1 for clearly comparing the salary difference with the sales difference B1 for division and multiplication to establish basic salary (ft) B1 for correct calculations to find sales figure (ft) B1 for clear question with reasoning and solution M 5