PSLE Linda spent $1350 in September. This amount was a 50% increase from what she spent in August. The amount she spent in October was a 30% decrease from what she spent in September.
- What was the total amount that Linda spent from August to October?
- What was the percentage increase in the amount Linda spent in October compared to August?
|
Spending |
August |
100% |
|
Change |
+ 50% |
|
September |
150% |
100 u |
Change |
|
- 30 u |
October |
|
70 u |
(a)
Spending in August = 100%
Spending in September = 100% + 50% = 150%
150% = 1350
1% = 1350 ÷ 150 = 9
Spending in August
= 100%
= 100 x 9
= $900
Spending in September = 100 u
Spending in October = 100 u - 30 u = 70 u
100 u = 1350
1 u = 1350 ÷ 100 = 13.5
Spending in October
= 70 u
= 70 x 13.5
= $945
Total spending from August to October
= 900 + 1350 + 945
= $3195
(b)
Increase in spending in October compared to August
= 945 - 900
= $45
Percentage increase
=
Increase in spendingSpending in August x 100%
=
45900 x 100%
= 5%
Answer(s): (a) $3195; (b) 5%