Problem 1 :
John bought a car for $18000 and sold it to his friend for $18900. Find the profit percentage.
Solution :
Profit = Selling price - Cost price
Profit = 18900 - 18000
Profit = 900
Profit % = (Profit/Cost price) ⋅ 100 %
Profit % = (900/18000) ⋅ 100 %
Profit % = 5 %
Problem 2 :
Peter bought an item at $300 and sold it for $240. Find the loss percentage.
Solution :
Loss = Cost price - Selling price
Loss = 300 - 240
Loss = 60
Loss % = (Loss/Cost price) ⋅ 100 %
Loss % = (60/300) ⋅ 100 %
Loss % = 20 %
Problem 3 :
A sold a laptop to B at 15% profit. B sold the same laptop to C at 20% profit. If C had paid $1656 for it, find the price at which A bought the laptop.
Solution :
Let x be the price at which A bought the laptop.
Cost price of B = 115% of x = 1.15x
Cost price of C = 120% of 1.15x = 1.38x
It is given that C paid $1656.
Then, we have
1.38x = 1656
Divide both sides by 1.38
x = 1656/1.38
x = 1200
So, the price at which A bought the laptop is $1200.
Problem 4 :
Michael sold an item at a loss of 5%. If he had sold at a profit of 20%, he would have got $100 more. Find the cost is the cost price of the item.
Solution :
Let x be the cost price of the chair
S.P (-5%) = 95% of x
S.P (-5%) = 0.95x -----(1)
S.P (+10%) = 120% of x
S.P (+10%) = 1.2x -----(2)
In (2), he got $100 more than (1).
Then, we have
(2) - (1) = 100
1.2x - 0.95x = 100
0.25x = 100
Divide both sides by 0.25
x = 100/0.25
x = 10000/25
x = 400
So, the cost price of the item is $400.
Problem 5 :
A man bought 20 units of a product at the cost of $400 and sold 5 units at the cost of $125. Find the profit or loss percentage.
Solution :
Cost price for 20 units = $400
Cost price for one unit = 400/20 = $20
Selling price for 5 units = $125
Selling price for one unit = 125/5 = $25
Because selling price is more than cost price, there is profit.
Profit = Selling price - Cost price
Profit = 25 - 20
Profit = 5
Profit % = (Profit/Cost price) ⋅ 100 %
Profit % = (5/20) ⋅ 100 %
Profit % = 25 %
To learn profit and loss shortcuts,
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Jul 03, 22 08:00 PM
Rotation 180 Degrees about the Origin Worksheet
Jul 03, 22 07:59 PM
Rotation 90 Degrees Counterclockwise about the Origin Worksheet
Jul 03, 22 07:51 PM
Worksheet on 90 Degree Anticlockwise Rotation