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Problem 1 :
A man buy an article for $27.50 and sells it for $28.60. Find his profit percent.
Problem 2 :
If a camera is purchased for $490 and sold it for $465.50, find the loss percent.
Problem 3 :
By selling 33 meters of cloth, one gains the selling price of 11 meters. Find the profit percent.
Problem 4 :
A person incurs 5% loss by selling a laptop for $1140. At what price should the laptop be sold to earn 5% profit ?
Problem 5 :
The cost price of 21 articles is equal to S.P of 18 articles. Find the profit or loss percent.
Problem 6 :
A man bought candies at 3 for a dollar. How many for a dollar must he sell to earn a profit of 50% ?
Problem 7 :
If the cost price is 96% of the selling price, then what is the profit percent ?
Problem 8 :
An article is sold at a certain price. By selling it at 2/3 of that price, one loses 10%. Find the profit percent at original price.
Problem 1 :
A man buy an article for $27.50 and sells it for $28.60. Find his profit percent.
Solution :
Given :
Cost price = $27.50
Selling price = $28.60
Finding Profit :
Profit = Selling price - Cost price
Profit = 28.60 - 27.50
Profit = 1.10
Finding Profit Percent :
Profit percent = (Profit/Cost price) ⋅ 100 %
Profit percent = (1.10/27.50) ⋅ 100 %
Profit percent = 4 %
Problem 2 :
If a camera is purchased for $490 and sold it for $465.50, find the loss percent.
Solution :
Given :
Cost price = $490
Selling price = $465.50
Finding Loss :
Loss = Cost price - Selling price
Loss = 490 - 465.50
Loss = 24.50
Finding Loss Percent :
Loss percent = (Loss/Cost price) ⋅ 100 %
Loss percent = (24.50/490) ⋅ 100 %
Loss percent = 5 %
Problem 3 :
By selling 33 meters of cloth, one gains the selling price of 11 meters. Find the profit percent.
Solution :
Let the selling price of 1 meter of cloth be $1.
Then, the selling price of 33 meters of cloth = $33
By fact, we have
S.P of 33 m - C.P of of 33 m = Profit
Given :
By selling 33 meters of cloth, the profit earned is the selling price of 11 meters.
So, we have
S.P of 33 m - C.P of of 33 m = S.P of 11 m
S.P of 33 m - S.P of of 11 m = C.P of 33 m
S.P of 22 m = C.P of 33 m
22 ⋅ 1 = C.P of 33 m
22 = C.P of 33 m
Finding Profit :
Profit = Selling price - Cost price
Profit = 33 - 22
Profit = 11
Finding Profit Percent :
Profit percent = (Profit/Cost price) ⋅ 100 %
Profit percent = (11/22) ⋅ 100 %
Profit percent = (1/2) ⋅ 100 %
Profit percent = 50 %
Problem 4 :
A person incurs 5% loss by selling a laptop for $1140. At what price should the laptop be sold to earn 5% profit ?
Solution :
Let "x" be the cost price of the laptop.
Given :
The laptop is sold for $1140 at 5% loss.
So, we have
(100 - 5)% of x = 1140
95% of x = 1140
0.95x = 1140
Divide both sides by 0.95
0.95x / 0.95 = 1140 / 0.95
x = 1200
The cost price of the laptop = $1200.
Selling price of the laptop at 5% proft is
= (100 + 5)% of 1200
= 105% of 1200
= 1.05 ⋅ 1200
= 1260
Hence, the laptop should be sold at $1260 to earn a profit of 5%.
Problem 5 :
The cost price of 21 articles is equal to S.P of 18 articles. Find the profit or loss percent.
Solution :
Let the cost of 1 article $1.
Then, the cost price of 18 articles = $18
Given :
Cost price of 21 articles = Selling price of 18 articles
21 ⋅ 1 = Selling price of 18 articles
21 = Selling price of 18 articles
Finding Profit :
Profit = S.P of 18 articles - C.P of 18 articles
Profit = 21 - 18
Profit = 3
Finding Profit Percent :
Profit percent = (Profit/Cost price) ⋅ 100 %
Profit percent = (3/18) ⋅ 100 %
Profit percent = (1/6) ⋅ 100 %
Profit percent = 100/6 %
Profit percent = 16 ⅔ %
Problem 6 :
A man bought candies at 3 for a dollar. How many for a dollar must he sell to earn a profit of 50% ?
Solution :
Cost price of 3 candies = $1
Selling price of 3 candies at 50% is
= (100 + 50)% of cost price of 3 candies
= 150% of 1
= 1.5 ⋅ 1
= 1.5
So, he has to sell 3 candies for $1.50 to earn a profit of 50%.
Selling price of 1 candy = 1.50/3
Selling price of 1 candy = $0.50
No. of candies he has to sell for a dollar is
= 1/0.50
= 2
Hence, the person must sell 2 candies for a dollar to earn a profit of 50%.
Problem 7 :
If the cost price is 96% of the selling price, then what is the profit percent ?
Solution :
Let the selling price be $100.
Then the cost price is $96.
Finding Profit :
Profit = Selling price - Cost price
Profit = 100 - 96
Profit = 4
Finding Profit Percent :
Profit percent = (Profit/Cost price) ⋅ 100 %
Profit percent = (4/96) ⋅ 100 %
Profit percent = (1/24) ⋅ 100 %
Profit percent = 4.17 %
Problem 8 :
An article is sold at a certain price. By selling it at 2/3 of that price, one loses 10%. Find the profit percent at original price.
Solution :
Let the original selling price be $3 and the cost price be x.
(Here, original selling price is assumed as $3, because when it is multiplied by 2/3, the result will be an integer)
Then, 2/3 of the original selling price is
= 2/3 ⋅ 3
= 1
Selling price at 10% loss = 2/3 of the original S.P
(100 - 10)% of cost price = 2
90% of "x" = 2
0.9 ⋅ x = 2
0.9x = 2
Divide both sides by 0.9
0.9x / 0.9 = 2 / 0.9
x = 20/9
So, the cost price = $20/9.
Finding Profit :
Profit = Selling price - Cost price
Profit = 3 - 20/9
Profit = 27/9 - 20/9
Profit = (27 - 20)/9
Profit = 7/9
Finding Profit Percent :
Profit percent = (Profit/Cost price) ⋅ 100 %
Profit percent = [(7/9) / (20/9)] ⋅ 100 %
Profit percent = (7/9) ⋅ (9/20) ⋅ 100 %
Profit percent = 35 %
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