PSLE Linda spent $1200 in September. This amount was a 50% increase from what she spent in August. The amount she spent in October was a 50% decrease from what she spent in September.
- What was the total amount that Linda spent from August to October?
- What was the percentage decrease in the amount Linda spent in October compared to August?
|
Spending |
August |
100% |
|
Change |
+ 50% |
|
September |
150% |
100 u |
Change |
|
- 50 u |
October |
|
50 u |
(a)
Spending in August = 100%
Spending in September = 100% + 50% = 150%
150% = 1200
1% = 1200 ÷ 150 = 8
Spending in August
= 100%
= 100 x 8
= $800
Spending in September = 100 u
Spending in October = 100 u - 50 u = 50 u
100 u = 1200
1 u = 1200 ÷ 100 = 12
Spending in October
= 50 u
= 50 x 12
= $600
Total spending from August to October
= 800 + 1200 + 600
= $2600
(b)
Decrease in spending in October compared to August
= 800 - 600
= $200
Percentage decrease
=
Decrease in spendingSpending in August x 100%
=
200800 x 100%
= 25%
Answer(s): (a) $2600; (b) 25%