PSLE Linda spent $110 in July. This amount was a 45% decrease from what she spent in June. The amount she spent in August was a 40% increase from what she spent in July.
- What was the total amount that Linda spent from June to August?
- What was the percentage decrease in the amount Linda spent in August compared to June?
|
Spending |
June |
100% |
|
Change |
- 45% |
|
July |
55% |
100 u |
Change |
|
+ 40 u |
August |
|
140 u |
(a)
Spending in June = 100%
Spending in July = 100% - 45% = 55%
55% = 110
1% = 110 ÷ 55 = 2
Spending in June
= 100%
= 100 x 2
= $200
Spending in July = 100 u
Spending in August = 100 u + 40 u = 140 u
100 u = 110
1 u = 110 ÷ 100 = 1.1
Spending in August
= 140 u
= 140 x 1.1
= $154
Total spending from June to August
= 200 + 110 + 154
= $464
(b)
Decrease in spending in August compared to June
= 200 - 154
= $46
Percentage decrease
=
Decrease in spendingSpending in June x 100%
=
46200 x 100%
= 23%
Answer(s): (a) $464; (b) 23%