Problem 1 :
What is 30 percent of 600?
Solution :
The picture shown below clearly illustrates the answer for the given question.
So, 30 percent of 600 is 180.
Problem 2 :
What percent of 500 is 75 ?
Solution :
The picture shown below clearly illustrates the answer for the given question.
So, 15 percent of 500 is 75.
Problem 3 :
What percent of 29 is 3?
Solution :
Let x be the required percentage.
Then, we have
x% of 29 = 3
(x/100) ⋅ 29 = 3
29x/100 = 3
Multiply each side by 100/29.
x = 3 ⋅ (100/29)
x = 300/29
x ≈ 10.3%
So, about 10.3% of 29 is 3.
Problem 4 :
Evaluate :
147 ÷ 49%
Solution :
147 ÷ 49% = 147 ÷ 0.49
147 ÷ 49% = 147 / 0.49
147 ÷ 49% = 14700 / 49
147 ÷ 49% = 300
Problem 5 :
If 20% of k is 8, then find the value of k.
Solution :
20% of k = 8
0.2 ⋅ k = 8
Divide each side by 0.2.
k = 40
Problem 6 :
An item is sold at 20% profit. If the cost price of the item is $80, find the selling price.
Solution :
selling Price = (100 + 20)% of cost price
Substitute $80 for cost price.
selling price = 120% of $80
= 1.2 ⋅ $80
= $96
Problem 7 :
An item is sold at 20% profit. If the selling price of the item is $108, find the cost price.
Solution :
(100 + 20)% of cost price = selling price
Substitute $108 for selling price.
120% of cost price = $108
1.2 ⋅ cost price = $108
Divide both sides by 1.2.
cost price = $90
Problem 8 :
Jacob spends 40% of his salary for food and 30% of the remaining for clothes and saves the rest. If Jacob's salary is $3000 per month, how much can he save in one year?
Solution :
Money spent for food :
40% of the salary = 0.4 ⋅ 3000
40% of the salary = $1200
Remaining salary is
= $3000 - $1200
= $1800
Money spent for clothes :
30% of the remaining salary = 0.3 ⋅ 1800
30% of the remaining salary = $540
After $540 spent for cloth, amount of money remaining :
= $1800 - $540
= $1260
After spent money for food and cloth, Jacob saves $1260 per month.
Amount of money saved in one year :
= 12 ⋅ 1260
= $15,120
Problem 9 :
Richard wants to earn a profit of 10 percent on selling an item at 12% percent discount. By what percent must he increase the cost price to get the list price ?
(List price = Price before discount given)
Solution :
Let $100 be the cost price of the item.
Then, the selling price of the item is
= 1.1 ⋅ 100
= 110 -----(1)
Let x be the list price.
Then, the selling price (after 12% discount in list price) is
= 0.88x ----(2)
From (1) and (2), we get
0.88x = 110
Divide each side by 0.88.
x = 125
Therefore the list price is $125.
Percentage increase from 100 to 125 is 25%.
So, Richard must increase 25 percent of the cost price to get the list list price.
Problem 10 :
If 20% of (x + y) is 60 and 40% of x is 36, then find 70% of y.
Solution :
Given : 20% of (x + y) is 60.
0.2(x + y) = 60
Divide each side by 0.2
x + y = 300 ----(1)
Given : 40% of x is 36.
0.4x = 36
Divide each side by 0.4
x = 90
Substitute 90 for x in (1).
90 + y = 300
Subtract 90 from each side.
y = 210
70% of y = 70% of 210
70% of y = 0.7 ⋅ 210
70% of y = 147
Problem 11 :
A is 40% of B, C is 30% of B. What percent of A is C?
Solution :
Since B is linked to both A and C, we can assume some value for B and solve the problem.
Let B = 100.
Given : A is 20% of B.
A = 0.4(100)
A = 40
Given : C is 30% of B.
C = 0.3(100)
C = 30
Let y% of A be equal to C.
y% of A = C
ʸ⁄₁₀₀ ⋅ 40 = 30
Divide both sides by 40.
ʸ⁄₁₀₀ = 0.75
Multiply both sides by 100.
y = 75
Therefore, 75% of A is C.
Problem 12 :
A store sells all items at 30% off and 5% sales tax has to be paid for all the items sold. What percentage of the original price has to be paid for each item?
Solution :
Let $100 be the original price of an item.
Price of the item after 30% off :
= (100 - 30)% of $100
= 70% of $100
= 0.7 ⋅ $100
= $70
Amount has to be paid for the item after 5% sales tax :
= (100 + 5)% of $70
= 105% of $70
= 1.05 ⋅ $70
= $73.5
73.5 is 73.5% of 100.
Therefore, 73.5% of the original price has to be paid for each item.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Apr 01, 23 11:43 AM
Mar 31, 23 10:41 AM
Mar 31, 23 10:18 AM