Question 11:
A trader buys 500 kg of rice at $2.50 per kg. He sells 400 kg at $3.00 per kg and the remaining at $2.80 per kg. Calculate his overall profit percentage.
Answer:
Cost Price (CP) for 500 kg = 500 kg * $2.50/kg = $1250
Selling Price (SP) for 400 kg = 400 kg * $3.00/kg = $1200
Selling Price (SP) for the remaining 100 kg = 100 kg * $2.80/kg = $280
Total Selling Price (SP) = $1200 + $280 = $1480
Profit = Total SP - Total CP = $1480 - $1250 = $230
Overall Profit Percentage = (Profit / Total CP) * 100
Overall Profit Percentage = ($230 / $1250) * 100 ≈ 18.4%
Question 12:
A watch was sold for $2000 at a profit of 25%. Calculate the cost price of the watch.
Answer:
Profit Percentage = 25%
Selling Price (SP) = $2000
Let the cost price (CP) be x dollars.
Profit = Profit Percentage * CP
$2000 - CP = 25% of CP
$2000 - 0.25x = 0.25x
Solving for x:
1.25x = $2000
x = $2000 / 1.25
x = $1600
The cost price of the watch is $1600.
Question 13:
A company bought 1000 shares of a company at $50 each. It sold 200 shares at $60 each and the remaining at $40 each. Calculate the overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 1000 shares = 1000 shares * $50/share = $50,000
Selling Price (SP) for 200 shares = 200 shares * $60/share = $12,000
Selling Price (SP) for the remaining 800 shares = 800 shares * $40/share = $32,000
Total Selling Price (SP) = $12,000 + $32,000 = $44,000
Profit = Total SP - Total CP = $44,000 - $50,000 = -$6,000 (Note: Negative value indicates a loss)
Overall Profit/Loss Percentage = (Profit/Loss / Total CP) * 100
Overall Profit/Loss Percentage = (-$6,000 / $50,000) * 100 ≈ -12%
The overall loss on the whole transaction is approximately 12%.
Question 14:
A retailer bought 50 laptops for $20,000. He sold 40 laptops at a profit of 15% and the remaining 10 laptops at a loss of 10%. Calculate the overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 50 laptops = 50 laptops * $20,000 = $1,000,000
Profit on 40 laptops = 15% of (40 * $20,000) = 15% of $800,000 = $120,000
Loss on 10 laptops = 10% of (10 * $20,000) = 10% of $200,000 = $20,000
Total Profit = Profit on 40 laptops - Loss on 10 laptops = $120,000 - $20,000 = $100,000
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($100,000 / $1,000,000) * 100 = 10%
The overall profit on the whole transaction is 10%.
Question 15:
A company sold 800 units of a product, making a profit of $3200. Calculate the profit percentage if the cost price per unit was $40.
Answer:
Number of units sold = 800
Profit = $3200
Cost Price (CP) per unit = $40
Total Cost Price (CP) for 800 units = 800 units * $40 per unit = $32,000
Profit Percentage = (Profit / Total CP) * 100
Profit Percentage = ($3200 / $32,000) * 100 = 10%
The profit percentage on the whole transaction is 10%.
Sure! Here are the answers to the profit and loss questions:
Question 16:
A shopkeeper bought 120 pens at a rate of $5 each. He sold 90 pens at $7 each and the remaining pens at $4 each. Calculate his overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 120 pens = 120 pens * $5/pen = $600
Total Selling Price (SP) for 90 pens = 90 pens * $7/pen = $630
Total Selling Price (SP) for the remaining 30 pens = 30 pens * $4/pen = $120
Total Profit = Total SP - Total CP = ($630 + $120) - $600 = $150
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($150 / $600) * 100 = 25%
The overall profit on the whole transaction is 25%.
Question 17:
A company manufactured 500 mobile phones at a cost of $120 each. Due to increased demand, they sold 400 mobile phones at $200 each and the remaining at $180 each. Calculate their overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 500 mobile phones = 500 mobile phones * $120/phone = $60,000
Total Selling Price (SP) for 400 mobile phones = 400 mobile phones * $200/phone = $80,000
Total Selling Price (SP) for the remaining 100 mobile phones = 100 mobile phones * $180/phone = $18,000
Total Profit = Total SP - Total CP = ($80,000 + $18,000) - $60,000 = $38,000
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($38,000 / $60,000) * 100 ≈ 63.33%
The overall profit on the whole transaction is approximately 63.33%.
Question 18:
A person sold a used car for $8000, incurring a loss of 20%. Find the cost price of the car.
Answer:
Loss Percentage = 20%
Selling Price (SP) = $8000
Let the cost price (CP) be x dollars.
Loss = Loss Percentage * CP
$8000 - CP = 20% of CP
$8000 - 0.20x = 0.20x
Solving for x:
1.20x = $8000
x = $8000 / 1.20
x = $6666.67 (approx)
The cost price of the car is approximately $6666.67.
Question 19:
A company purchased 200 chairs for $6000. Out of these, 25% of the chairs were found to be defective and were sold at half their cost price. The remaining chairs were sold at a profit of 20%. Calculate the overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 200 chairs = 200 chairs * $6000/chair = $120000
Number of defective chairs = 25% of 200 chairs = 0.25 * 200 = 50 chairs
Cost Price (CP) for defective chairs = 50 chairs * $6000/chair = $3000
Selling Price (SP) for defective chairs = 50 chairs * 0.5 * $6000/chair = $1500
Number of non-defective chairs = 200 chairs - 50 chairs = 150 chairs
Selling Price (SP) for non-defective chairs = 150 chairs * (1 + 20%) * $6000/chair = $180000
Total Selling Price (SP) = $1500 + $180000 = $181500
Total Profit = Total SP - Total CP = $181500 - $120000 = $61500
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($61500 / $120000) * 100 ≈ 51.25%
The overall profit on the whole transaction is approximately 51.25%.
Question 20:
A trader bought a batch of 100 watches at a total cost of $3000. He sold 60 watches at $40 each and the remaining at $25 each. Calculate his overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 100 watches = $3000
Selling Price (SP) for 60 watches = 60 watches * $40/watch = $2400
Selling Price (SP) for the remaining 40 watches = 40 watches * $25/watch = $1000
Total Selling Price (SP) = $2400 + $1000 = $3400
Total Profit = Total SP - Total CP = $3400 - $3000 = $400
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($400 / $3000) * 100 ≈ 13.33%
The overall profit on the whole transaction is approximately 13.33%.
Question 21:
A retailer bought 80 mobile phone cases for $200. He sold 60 of them at a profit of 25% and the remaining at a loss of 15%. Calculate his overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 80 mobile phone cases = 80 cases * $200/case = $16000
Profit on 60 cases = 25% of (60 * $200) = 25% of $12000 = $3000
Loss on the remaining 20 cases = 15% of (20 * $200) = 15% of $4000 = $600
Total Profit = Profit on 60 cases - Loss on 20 cases = $3000 - $600 = $2400
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($2400 / $16000) * 100 ≈ 15%
The overall profit on the whole transaction is approximately 15%.
Question 22:
A company purchased 1000 T-shirts at a rate of $8 each. They sold 600 T-shirts at $12 each and the remaining at $6 each. Calculate their overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 1000 T-shirts = 1000 T-shirts * $8/T-shirt = $8000
Selling Price (SP) for 600 T-shirts = 600 T-shirts * $12/T-shirt = $7200
Selling Price (SP) for the remaining 400 T-shirts = 400 T-shirts * $6/T-shirt = $2400
Total Selling Price (SP) = $7200 + $2400 = $9600
Total Profit = Total SP - Total CP = $9600 - $8000 = $1600
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($1600 / $8000) * 100 = 20%
The overall profit on the whole transaction is 20%.
Question 23:
A person bought a laptop for $1200 and sold it for $1500. Calculate the profit
percentage.
Answer:
Cost Price (CP) = $1200
Selling Price (SP) = $1500
Profit = SP - CP = $1500 - $1200 = $300
Profit Percentage = (Profit / CP) * 100
Profit Percentage = ($300 / $1200) * 100 = 25%
The profit percentage is 25%.
Question 24:
A vendor bought 200 kg of apples at $2 per kg. Due to spoilage, he had to sell the remaining apples at $1.50 per kg. If the overall loss percentage on the whole transaction was 10%, find the quantity of apples that got spoiled.
Answer:
Let x kg of apples got spoiled.
Total Cost Price (CP) for 200 kg = 200 kg * $2/kg = $400
Total Selling Price (SP) for x kg (spoiled) = x kg * $0/kg = $0
Total Selling Price (SP) for the remaining (200 - x) kg = (200 - x) kg * $1.50/kg = $300 - $1.50x
Total Loss = Total CP - Total SP = $400 - ($0 + $300 - $1.50x) = $100 + $1.50x
Given, Overall Loss Percentage = 10%
Loss Percentage = (Total Loss / Total CP) * 100
10% = ($100 + $1.50x) / $400 * 100
1 + 0.015x = 0.10 * 100
1 + 0.015x = 10
0.015x = 9
x = 9 / 0.015
x = 600
The quantity of apples that got spoiled is 600 kg.
Question 25:
A company bought 500 books at a cost of $4000. They sold 350 books at $12 each and the remaining at $10 each. Calculate their overall profit or loss percentage on the whole transaction.
Answer:
Total Cost Price (CP) for 500 books = 500 books * $8/book = $4000
Selling Price (SP) for 350 books = 350 books * $12/book = $4200
Selling Price (SP) for the remaining 150 books = 150 books * $10/book = $1500
Total Selling Price (SP) = $4200 + $1500 = $5700
Total Profit = Total SP - Total CP = $5700 - $4000 = $1700
Overall Profit Percentage = (Total Profit / Total CP) * 100
Overall Profit Percentage = ($1700 / $4000) * 100 = 42.5%
The overall profit on the whole transaction is 42.5%.