PSLE Linda spent $180 in February. This amount was a 10% decrease from what she spent in January. The amount she spent in March was a 50% 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 |
- 10% |
|
February |
90% |
100 u |
Change |
|
+ 50 u |
March |
|
150 u |
(a)
Spending in January = 100%
Spending in February = 100% - 10% = 90%
90% = 180
1% = 180 ÷ 90 = 2
Spending in January
= 100%
= 100 x 2
= $200
Spending in February = 100 u
Spending in March = 100 u + 50 u = 150 u
100 u = 180
1 u = 180 ÷ 100 = 1.8
Spending in March
= 150 u
= 150 x 1.8
= $270
Total spending from January to March
= 200 + 180 + 270
= $650
(b)
Increase in spending in March compared to January
= 270 - 200
= $70
Percentage increase
=
Increase in spendingSpending in January x 100%
=
70200 x 100%
= 35%
Answer(s): (a) $650; (b) 35%