PSLE Linda spent $110 in October. This amount was a 45% decrease from what she spent in September. The amount she spent in November was a 20% increase from what she spent in October.
- What was the total amount that Linda spent from September to November?
- What was the percentage decrease in the amount Linda spent in November compared to September?
|
Spending |
September |
100% |
|
Change |
- 45% |
|
October |
55% |
100 u |
Change |
|
+ 20 u |
November |
|
120 u |
(a)
Spending in September = 100%
Spending in October = 100% - 45% = 55%
55% = 110
1% = 110 ÷ 55 = 2
Spending in September
= 100%
= 100 x 2
= $200
Spending in October = 100 u
Spending in November = 100 u + 20 u = 120 u
100 u = 110
1 u = 110 ÷ 100 = 1.1
Spending in November
= 120 u
= 120 x 1.1
= $132
Total spending from September to November
= 200 + 110 + 132
= $442
(b)
Decrease in spending in November compared to September
= 200 - 132
= $68
Percentage decrease
=
Decrease in spendingSpending in September x 100%
=
68200 x 100%
= 34%
Answer(s): (a) $442; (b) 34%