Practice the questions given in the Worksheet on Profit or Loss Percent on a regular basis. Get to know the shortcut tips and tricks for all the problems on profit, loss percent, and try to apply the related knowledge. Download the Profit and Loss Percentage Worksheet over here for free and learn how to find a profit, profit percent, cost price, or loss percentage, given the other parameters. 6th Grade Math Students can make the most out of this practice worksheet for profit or loss and get a good hold of the concept.
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Profit and Loss Worksheets for Grade 6 PDF
I. The cost price of an article is Rs. 1600 and the selling price is 3/2 times his cost price. Find profit or loss as a percent?
Solution:
Given,
Cost Price of an article=Rs 1600
Selling Price of the article=3/2(1600)
=3(800)
=2400
Here selling Price of the article> Cost Price of the article. So Profit is gained.
Profit = SellingPrice – CostPrice
=Rs. 2400 – Rs. 1600
=Rs. 800
Profit Percent=Profit/C.P × 100
=800/1600 × 100
=1/2 × 100
=50
Hence, By selling the article the Profit Percentage is 50%.
II. Find the cost price of the gift article which is sold for Rs. 1050 at the gain of Rs. 150. Also, find the gain as the percent?
Solution:
Given,
Selling Price of the gift article=Rs 1050
Gain=Rs 150
We know that Cost Price=Selling Price-Profit
=Rs 1050 – Rs 150
=Rs 900
Cost Price of the gift article is Rs 900.
Gain Percent=Gain/C.P × 100
=150/900 × 100
=16.66
Hence, By selling the gift article the gain Percentage is 16.66%.
III. A dealer sold a camera for Rs. 2050 gaining 1/5 of its cost price. Find:
i) the cost price of the camera
ii) the gain percent earned by the dealer.
Solution:
Given,
Selling Price of Camera=Rs 2050
Let the cost Price of Camera=Rs x
x + 1/5 x=Rs 2050
6x/5=2050
x=2050 × 5/6
=1708
Cost Price of the Camera=Rs 1708
Profit=Selling Price – Cost Price
=Rs 2050 – Rs 1708
=Rs 342
Profit Percent=Profit/C.p × 100
=342/1708 × 100
=20%
Hence, By selling the camera the profit percentage is 20%.
IV. Jay purchased a house for Rs. 40,00,000. He spent Rs. 20,000 on repairs and Rs. 50,000 on air-conditioning. If he had sold the house for Rs. 40,00,00. Find the gain or loss percentage in this transaction?
Solution:
Given,
Jay purchased the house=Rs 40,00,000
The total amount spent on the house is
= 40,00,000 + 20,000 + 50,000
= 40,70,000
This is the cost price of the house 40,70,000.
The selling price of the house = Rs 40,00,000
Because the selling price of the house is less than the cost price, there is loss.
We know that Loss = Cost price – Selling price
Loss = 40,70,000 – 40,00,000
Loss = 70,000
we know that Loss % = (Loss/Cost price) ⋅ 100 %
Loss % = (70000/40,70,000) ⋅ 100 %
Loss % = 1.71 %
Hence, By selling the house the loss percentage is 1.71%.
V. Groceries are purchased for Rs. 15000. If one-fifth of the groceries sold at a profit of 15% and the remaining four-fifth of the groceries at a profit of 10%, find the net profit percentage?
Solution:
Given,
Groceries are purchased for=Rs. 15000
The cost price of one-fifth of the groceries is
= 1/5 ⋅ 15000
= 3000
The selling price of one-fifth of the groceries (at 5% profit) is
= (100 + 15)% of 3000
= 115% of 3000
= 3450
The cost price of the remaining four-fifth of the groceries is
= 4/5 ⋅ 15000
= 12000
Selling price of the remaining four-fifth of the groceries (at 10% profit) is
= (100 + 10)% of 12000
= 110% of 12000
= 1.10 ⋅ 12000
= 1,3200
Selling price of the total groceries
= 3450 + 1,3200
= 1,6650
We know that Net profit = S.P of the total groceries – C.P of the total groceries
Net Profit = 16650 – 15000
Net Profit = 1650
we know that Net Profit Percentage is (Net profit/Cost price) ⋅ 100 %
Net profit % = (1650/15000) ⋅ 100
Net profit % = 11
Therefore, the Net Profit Percentage is 11%.
VI. On selling a mobile for Rs. 5000, a shopkeeper loses 10%. For what amount should he sell it to gain 5%?
Solution:
Selling Price of the mobile =Rs. 5000
Let the cost price of the mobile =x
Loss %=10
Loss %= Cp−Sp/Cp ×100
10= x−5000/x ×100
10/100=x-5000/x
x/10=x-5000
5000=x-x/10
5000=9x/10
50000/9=x
=5555Rs.
Let the new Sp be y Gain %=5
Gain %= Sp−Cp/CP ×100
5= (y−5555)/5555 ×100
5/100=y-5555/5555
1/20 × 5555=y-5555
277 + 5555=y
y=5832
Therefore, the new selling price is Rs. 5832.
VII. By selling an article for Rs. 625, a person loses equal to 1/5 of its selling price. Find the profit percent or the loss percent made if the same article is sold for Rs. 900?
Solution:
Given,
Selling Price of the article=Rs. 625
Loss=1/5 of the S.P
=625/5=Rs. 125
C.P =S.P +loss
=625+125 =750
New Selling Price=Rs. 900
S.P. = Rs. 900
C.P. =. Rs. 750
Profit percent= 900 – 750 = 150
= 150/750×100
= 20%
Hence, the Profit Percentage is 20% by selling the article.
VIII. An article bought for Rs. 550 is sold for Rs. 650. The second article bought for Rs. 485 is sold for Rs. 445 and the third article bought for Rs. 720 is sold for Rs. 820. Find the profit or the loss as percent on the whole?
Solution:
Given,
CP of the first article=Rs. 550
SP of the first article=Rs. 650
CP of the second article=Rs. 485
SP of the second article=Rs. 445
CP of the third article=Rs. 720
SP of the third article=Rs. 820
Total CP of all articles=Rs. 550 + Rs. 485 + Rs. 720
=Rs. 1755
Total SP of all articles=Rs. 650 + Rs. 445 + Rs. 820
=Rs. 1915
Selling Price is greater than cost price. So Profit is gained.
Profit=Selling Price – Cost Price
=Rs. 1915 – Rs. 1755
=Rs. 160
Profit%=160/1755 × 100
=9%
Hence, the profit is 9% on the whole.
IX. By selling two shirts each for Rs. 800, a shopkeeper gains 30 percent on one shirt and loses 30 percent on the other. Find profit or loss percent on the whole?
Solution:
Given,
Let CP1 & CP2 be the cost price of 1st shirt and 2nd shirt respectively.
The selling price of each shirt, SP1=Rs. 800
Gain of one shirt = 30%
SP1 – CP1/CP1 ×100=30.
800−CP1/CP1×100=30.
800−CP1=30/100.CP1
800=30/100. CP1+CP1
130/100.CP1=800
CP1=800×100/130
CP1=Rs. 615
and loss of other Shirt = 30 %
CP2−SP2/CP1×100=30
CP2−800=30/100.CP2
CP2-30/100.CP2=800
70/100.CP2=800
CP2=800×100/70
=Rs. 1142
The cost price of 1st Shirt = Rs. 615
The Cost price of the 2nd Shirt = Rs. 1142.
Total cost price ,CP = Rs (615+1142) = 1757
Total selling price SP = Rs (800+800) = Rs 1600.
loss on the whole =CP−SP/CP×100
=1757−1600/1757×100
=157/1757×100
= 8.93 %
Therefore, the loss percent is 8.93% by selling the two shirts.
x. Sindhu bought 60 chocolates for Rs. 120. She then sold each chocolate for Rs. 3. Find the profit or loss percentage?
Solution:
Given,
Cost price of 60 chocolates = Rs. 120
Cost price of 1 chocolate = 120/60 = Rs. 2
Selling price of 1 chocolate = Rs. 3
Because the selling price of 1 chocolate is more than the cost price of 1 chocolate, there is profit.
We know that Profit = Selling price – Cost price
Profit = Rs. 3 – Rs. 2
Profit = Rs. 1
We know that Profit % = (Profit/Cost price) ⋅ 100 %
Profit % = (1/2) ⋅ 100 %
Profit % = 50 %
Hence, the profit percentage is 50% by selling the chocolates.