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Q1: How to find Profit and loss?
Ans: Profit = SP-CP, Loss=CP-SP, where SP = Selling Price and CP= Cost Price
Q2: What is C.P?
Ans: The price paid by the shopkeeper to buy the goods from manufacturer is called CP (cost price)
Q3: How to find C.P?

Ans: In case of profit, CP=SP – profit and in case of loss CP = Loss + SP
Q4: How to find S.P?

Ans: In case of profit, SP=CP +profit and in case of loss SP = CP – Loss
Q5: Find the Profit  or Loss –
(i) S.P=600, C.P=398

Ans: Profit = SP-CP = 600-398 = 202
(ii) S.P=998, C.P=789

Ans: Profit = SP-CP = 998-789 = 209
(iii) S.P= 11300, C.P=11300

Ans: Neither profit nor loss as SP and CP are the same.

Q6: Find the profit or loss percentage:
(i) C.p = 700, s.p = 459

Ans: C.p = 700, SP = 459,
loss = ((CP-SP)/CP) X100 = 34.43%
(ii) C.p = 1999, s.p = 1990

Ans: C.p = 1999, s.p = 1990,
loss = ((CP-SP)/CP) X100 = 0.45%
(iii) C.p = 2890, s.p = 2900

Ans: C.p = 2890, s.p = 2900 ,
profit = ((SP-CP)/CP)*100 = 0.346%
(iv) C.p = 6392, s.p = 7392

Ans: C.p = 6392, s.p = 7392 ,
profit = ((SP-CP)/CP)*100 = 15.64%
(v) C.p = 6382, s.p = 2638

Ans: C.p = 6382, s.p = 2638 ,
loss = ((CP-SP)/CP) X100 = 58.66%

Q7: Ram bought a scooter worth rupees 19000, spent 6000 on repair. Then he sold the scooter at rupees 26000. How much he gain or loss(in percent)?
Ans: Gain = 26000 - (19000 + 6000)
Gain percent = ((SP-CP)/CP) X100 = 4%

Q8: Nidhi bought 19 pens at rupees 11/piece, and sells at rupees 13/piece. Find her the percent of loss or profit.
Ans: Gain percent = ((SP-CP)/CP) X100=18.18%

Q9: Ronny bought a mirror at rupees 900, and sells at 1900. Find the percent of profit.
Ans: The percent of profit = 111.11%
This can be calculated as follows:
((1900 - 900)/900) * 100 = 111.11%

Q10: Ram and Rimi bought 4 chocolates each at rupees 900 each. If Ram only sells his chocolate at the price of 1100 each. Then find their percent of  profit.

Ans: Price of 4 chocolates = 4X900 = 3600
SP = 4X1100 = 4400
profit percent = 22.22%

Q11: Rakesh bought a car worth rupees 450000 and sell it at rupees 505000. Find his percent of profit and loss.
Ans: His percent of profit = 12.22%
This can be calculated in a similar way to Q9
SP = 505000
CP = 45000
Gain = 505000 - 45000 = 5500

Q12: Ram bought a scooter worth rupees 19800, spent 6000 on repair. Then he sold the scooter at rupees 22000. How much he gain or loss (in percent)?
Ans: Loss (in percent) = 14.73%
Total Cost: 25800
Loss = 3800
Loss% = (3800/35800)*100 = 14.73%

Q13: Nidhi bought 19 pens at rupees 19/piece, and sells at rupees 13/piece. Find her the percent of loss or profit.

Ans: percent of loss = 31.58%
Loss = 6/piece
Loss % = (6/19) * 100 = 31.58%
Q14: Ronny bought a mirror at rupees 800, and sells at 1100. Find the percent of profit.

Ans: The percent of profit= 37.5%
Profit = 300
Profit % = (300/800)*100 = 37.5%
Q15: Ram and Rimi bought 4 chocolates each at rupees 900 each. If Ram only sells his chocolate at the price of 1300 e. Then find their percent of  profit.
Ans: Price of 4 chocolates = 4X900 = 3600,
Sp = 4X1300 = 5200
profit percent = 44.44%

Q16: Rakesh bought a car worth rupees 4508000 and sell it at rupees 5058000. Find his percent of profit and loss.
Ans: percent of profit = 12.2%
Net profit = SP - CP = 550000
Profit Percentage = ((SP - CP)/CP)*100 = 12.2%

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FAQs on Doc: Worksheet Solution: Profit & Loss - Mathematics for Class 5

1. What is the basic formula for calculating profit and loss?
Ans. The basic formula for calculating profit is: Profit = Selling Price (SP) - Cost Price (CP). If the result is positive, it indicates a profit; if negative, it indicates a loss. The formula for loss is: Loss = Cost Price (CP) - Selling Price (SP).
2. How can I determine the percentage of profit or loss?
Ans. To calculate the percentage of profit, use the formula: (Profit / Cost Price) x 100%. For loss, the percentage is calculated as: (Loss / Cost Price) x 100%. This will give you the percentage relative to the cost price.
3. What are some common examples of profit and loss scenarios in business?
Ans. Common examples include retail sales, where a store buys products at a cost price and sells them at a higher price (profit), or instances where products are sold at a discount resulting in a lower selling price than the cost price (loss). Other scenarios may include investments that yield returns (profit) or depreciation of assets (loss).
4. How can I prepare a profit and loss statement for my small business?
Ans. To prepare a profit and loss statement, start by listing your total revenue from sales. Then, subtract the total expenses incurred (cost of goods sold, operational costs, etc.). The resulting figure will show your net profit or loss for the specified period.
5. Why is understanding profit and loss important for business owners?
Ans. Understanding profit and loss is crucial for business owners as it helps them assess the financial health of their business, make informed decisions regarding pricing, budgeting, and forecasting, and identify areas for improvement to enhance profitability.
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