PSLE Linda spent $160 in February. This amount was a 20% decrease from what she spent in January. The amount she spent in March was a 45% increase from what she spent in February.
- What was the total amount that Linda spent from January to March?
- What was the percentage increase in the amount Linda spent in March compared to January?
|
Spending |
January |
100% |
|
Change |
- 20% |
|
February |
80% |
100 u |
Change |
|
+ 45 u |
March |
|
145 u |
(a)
Spending in January = 100%
Spending in February = 100% - 20% = 80%
80% = 160
1% = 160 ÷ 80 = 2
Spending in January
= 100%
= 100 x 2
= $200
Spending in February = 100 u
Spending in March = 100 u + 45 u = 145 u
100 u = 160
1 u = 160 ÷ 100 = 1.6
Spending in March
= 145 u
= 145 x 1.6
= $232
Total spending from January to March
= 200 + 160 + 232
= $592
(b)
Increase in spending in March compared to January
= 232 - 200
= $32
Percentage increase
=
Increase in spendingSpending in January x 100%
=
32200 x 100%
= 16%
Answer(s): (a) $592; (b) 16%