PSLE Linda spent $420 in February. This amount was a 40% increase from what she spent in January. The amount she spent in March was a 40% decrease from what she spent in February.
- What was the total amount that Linda spent from January to March?
- What was the percentage decrease in the amount Linda spent in March compared to January?
|
Spending |
January |
100% |
|
Change |
+ 40% |
|
February |
140% |
100 u |
Change |
|
- 40 u |
March |
|
60 u |
(a)
Spending in January = 100%
Spending in February = 100% + 40% = 140%
140% = 420
1% = 420 ÷ 140 = 3
Spending in January
= 100%
= 100 x 3
= $300
Spending in February = 100 u
Spending in March = 100 u - 40 u = 60 u
100 u = 420
1 u = 420 ÷ 100 = 4.2
Spending in March
= 60 u
= 60 x 4.2
= $252
Total spending from January to March
= 300 + 420 + 252
= $972
(b)
Decrease in spending in March compared to January
= 300 - 252
= $48
Percentage decrease
=
Decrease in spendingSpending in January x 100%
=
48300 x 100%
= 16%
Answer(s): (a) $972; (b) 16%