Problem 1 :
A house in Kitsilano was sold for 300% of what owners paid. If the owners sold the property for $1.2 million, how much did they originally pay for the house ?
Solution :
Worth of property when owner's sold = 1.2 million
Original price = 300% of 1.2
= (300/100) x 1.2
= 3.6 million
Problem 2 :
Alice Wong contributed $36 towards a birthday present that cost a total of $80. What percent of the total did she contribute?
Solution :
Alice wong's contribution = $36
Worth of birthday present = $80
36 is what percentage of 80,
Let x be the required percentage.
x% of 80 = 36
(x/100) ⋅ 80 = 36
8x/10 = 36
x = (36 ⋅ 10)/8
x = 45%
So, he contributed 45% of total.
Problem 3 :
$475 is what percent more than $125?
Solution :
Let x be the required percentage.
x% of 125 = 475
(x/100) ⋅ 125 = 475
x = (475 ⋅ 100)/125
x = 380
100 + 280 = 380
So, 280% more of 125.
Problem 4 :
$530 is what percent less than $643.95?
Solution :
Let x be the required percentage.
x% of 643.95 = 530
(x/100) ⋅ 643.95 = 530
643.95x/100 = 530
x = 530 (100) / 643.95
x = 82.30
100 - 82.30 ==> 17.69
Approximately 17.7% less than 643.95
Problem 5 :
In Quebec, a motorcycle sold for $28,461.38 including 5% GST and 7.5% PST. How much did the motorcycle cost before tax?
Solution :
GST = 5%
PST = 7.5%
Total = 12.5%
Amount of be paid = 12% less than the original
Let x be the amount before tax.
(100 + 12.5)% of x = 28,461.38
112.5% of x = 28,461.38
x = 28461.38/1.125
x = 25299
So, the original amount before tax is 25299.
Problem 6 :
A bartender whose salary was $320 per week was given a raise of $40 per week. What percent increase did the bartender receive?
Solution :
Salary = 320
The amount he is wishing to raise = 40
Let x be the required unknown percentage.
x% of 320 = 40
320x/100 = 40
32x/10 = 40
32x = 400
x = 400/32
x = 12.5
So, the raise is 12.5% of salary.
Problem 7 :
A credit card carries a 15.2% interest rate. If the amount of interest accrued for last month was $360, what is the balance on the card?
Solution :
Let x be the balance.
Interest = 15.2%
Interest accrued = 360
15.2% of x = 360
0.152x = 360
x = 360/0.152
x = 2368.42
Problem 8 :
Revenue increased from $1,062 last year to $1,947 this year. What was the percent increase in profit?
Solution :
Percentage increase or decrease
= |old value - new value| / old value x 100%
Old value = 1062, new value = 1947
= {|1947 - 1062| / 1062} x 100%
= (885/1062) x 100%
= 0.833 x 100%
= 83.3%
Problem 9 :
Net income in November increased 18 ½% over October’s net income. If net income for October was $25680, what was net income for November?
Solution :
Net income = 25680
Increases by 18 1/2%
Income after November = (100 + 18.5)% of 25680
= 18.5% of 25680
= 1.185 x 25680
= 30430.8
So, the income after November is 30430.8
Problem 10 :
The CPI at the end of 2010 was 15% lower than at the end 2000. What was the CPI at the end of 2010, if the CPI at the end of 2000 was 120?
Solution :
CPI amount at the end of 2000 = 120
85% of 120 = CPI amount at the end of 2010.
= (85/100) x 120
= 0.85 x 120
= 102
Problem 11 :
The earnings per share (EPS) of a company last year was $1.12. This year the earnings per share is $1.40. What is the percent change in EPS? What is the new EPS as a percent of the old EPS?
Solution :
Earning last year = 1.12 (old value)
Earning this year = 1.40 (new value)
Percentage change = { (1.40 - 1.12)/1.12 } x 100%
= (0.28 / 1.12) x 100%
= 0.25 x 100%
= 25%
So, the percentage change is 25%.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
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