Profit Loss

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Profit and loss

 

IMPORTANT FACTS

Cost Price:

The price, at which an ARTICLE is purchased, is called its cost price, abbreviated as C.P.

 

Selling Price:

The price, at which an article is sold, is called its selling prices, abbreviated as S.P.

 

Profit or Gain:

If S.P. is greater than C.P., the seller is said to have a profit or gain.

 

Loss:

If S.P. is less than C.P., the seller is said to have incurred a loss.

 

IMPORTANT FORMULAE

  1. Gain = (S.P.) – (C.P.)
  2. Loss = (C.P.) – (S.P.)
  3. Loss or gain is always reckoned on C.P.
  4. Gain Percentage: (Gain %)

    Gain % =

Gain x 100

C.P.

  1. Loss Percentage: (Loss %)

    Loss % =

Loss x 100

C.P.

  1. Selling Price: (S.P.)

    SP =

(100 + Gain %)

x C.P

100

 

 

 

 

 

  1. Selling Price: (S.P.)

    SP =

(100 – Loss %)

x C.P.

100

  1. Cost Price: (C.P.)

    C.P. =

100

x S.P.

(100 + Gain %)

  1. Cost Price: (C.P.)

    C.P. =

100

x S.P.

(100 – Loss %)

  1. If an article is sold at a gain of say 35%, then S.P. = 135% of C.P.
  2. If an article is sold at a loss of say, 35% then S.P. = 65% of C.P.
  3. When a person sells two similar items, one at a gain of say x%, and the other at a loss of x%, then the seller always incurs a loss given by:

    Loss % =

Common Loss and Gain %

2

=

x

2

.

10

10

  1. If a trader professes to sell his goods at cost price, but uses false weights, then

    Gain % =

Error

x 100

%.

(True Value) – (Error)

 

Questions:

Level-I:

 

 

1. 

Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

A.

4

4

%

7

B.

5

5

%

11

C.

10%

D.

12%

 

2. 

The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of xis:

A.

15

B.

16

C.

18

D.

25

 

3. 

If selling price is doubled, the profit triples. Find the profit percent.

A.

66

2

3

B.

100

C.

105

1

3

D.

120

 

4. 

In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A.

30%

B.

70%

C.

100%

D.

250%

 

 

5. 

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

A.

3

B.

4

C.

5

D.

6

 

6. 

The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?

A.

Rs. 2000

B.

Rs. 2200

C.

Rs. 2400

D.

Data inadequate

 

7. 

A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?

A.

Rs. 18.20

B.

Rs. 70

C.

Rs. 72

D.

Rs. 88.25

 

8. 

A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

A.

Rs. 1090

B.

Rs. 1160

C.

Rs. 1190

D.

Rs. 1202

 

9. 

Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

A.

3.5

B.

4.5

C.

5.6

D.

6.5

 

10. 

Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:

A.

30%

B.

33

1

%

3

C.

35%

D.

44%

 

 

 

 

 

 

11. 

 

 

 

Level-II:

 

 

On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

A.

Rs. 45

B.

Rs. 50

C.

Rs. 55

D.

Rs. 60

 

 

12. 

When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A.

Rs. 21,000

B.

Rs. 22,500

C.

Rs. 25,300

D.

Rs. 25,800

 

13. 

100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:

A.

14

2

% gain

7

B.

15% gain

C.

14

2

% loss

7

D.

15 % loss

 

14. 

A shopkeeper sells one transistor for Rs. 840 at a gain of 20% and another for Rs. 960 at a loss of 4%. His total gain or loss percent is:

A.

5

15

% loss

17

B.

5

15

% gain

17

C.

6

2

% gain

3

D.

None of these

 

 

15. 

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A.

No profit, no loss

B.

5%

C.

8%

D.

10%

E.

None of these

 


16. A man buys an article for Rs. 27.50 and sells it for Rs 28.60. Find his gain percent

  1. 1%
  2. 2%
  3. 3%
  4. 4%

 

 


17. A TV is purchased at Rs. 5000 and sold at Rs. 4000, find the lost percent.

  1. 10%
  2. 20%
  3. 25%
  4. 28%

 

 


18. In terms of percentage profit, which among following the best transaction.

    1. C.P. 36, Profit 17
    2. C.P. 50, Profit 24
    3. C.P. 40, Profit 19
    4. C.P. 60, Profit 29

 

 

 

 

Answer:1 Option B

 

Explanation:

Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.

Selling Price (S.P.) = Rs. 5800.

Gain = (S.P.) – (C.P.) = Rs.(5800 – 5500) = Rs. 300.

Gain % =

300

x 100

%

= 5

5

%

5500

11

 

Answer:2 Option B

 

Explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.

S.P. of x articles = Rs. 20.

Profit = Rs. (20 – x).

20 – x

x 100 = 25

x

 2000 – 100x = 25x

125x = 2000

 x = 16.

 

 

Answer:3 Option B

 

Explanation:

Let C.P. be Rs. x and S.P. be Rs. y.

Then, 3(y – x) = (2y – x)    y = 2x.

Profit = Rs. (y – x) = Rs. (2x – x) = Rs. x.

 Profit % =

x

x 100

% = 100%

 

 

 

Answer:4 Option B

 

Explanation:

Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.

New C.P. = 125% of Rs. 100 = Rs. 125

New S.P. = Rs. 420.

Profit = Rs. (420 – 125) = Rs. 295.

 Required percentage =

295

x 100

%

=

1475

% = 70% (approximately).

420

21

 

 

Answer:5 Option C

 

Explanation:

C.P. of 6 toffees = Re. 1

S.P. of 6 toffees = 120% of Re. 1 = Rs.

6

5

For Rs.

6

, toffees sold = 6.

5

For Re. 1, toffees sold =

6 x

5

= 5.

6

 

 

Answer:6 Option A

 

Explanation:

Let C.P. be Rs. x.

Then,

1920 – x

x 100 =

x – 1280

x 100

x

x

 1920 – x = x – 1280

 2x = 3200

 x = 1600

 Required S.P. = 125% of Rs. 1600 = Rs.

125

x 1600

= Rs 2000.

100

 

 

Answer:7 Option C

 

Explanation:

C.P. = Rs.

100

x 392

= Rs.

1000

x 392

= Rs. 320

122.5

1225

 Profit = Rs. (392 – 320) = Rs. 72.

 

Answer:8 Option C

 

Explanation:

S.P. = 85% of Rs. 1400 = Rs.

85

x 1400

= Rs. 1190

100

 

 

 

Answer:9 Option C

 

Explanation:

Cost Price of 1 toy = Rs.

375

= Rs. 31.25

12

Selling Price of 1 toy = Rs. 33

So, Gain = Rs. (33 – 31.25) = Rs. 1.75

 Profit % =

1.75

x 100

%

=

28

% = 5.6%

31.25

5

 

 

 

Answer:10 Option D

 

Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs.

5

x 30

= Rs. 25.

6

S.P. of 30 articles = Rs.

6

x 30

= Rs. 36.

5

 Gain % =

11

x 100

% = 44%.

25

 

 

Answer:11 Option D

 

Explanation:

(C.P. of 17 balls) – (S.P. of 17 balls) = (C.P. of 5 balls)

 C.P. of 12 balls = S.P. of 17 balls = Rs.720.

 C.P. of 1 ball = Rs.

720

= Rs. 60.

12

 

 

Answer:12 Option C

 

Explanation:

85 : 18700 = 115 : x

 x =

18700 x 115

= 25300.

85

Hence, S.P. = Rs. 25,300.

 

Answer:13 Option A

 

Explanation:

C.P. of 1 orange = Rs.

350

= Rs. 3.50

100

S.P. of 1 orange = Rs.

48

= Rs. 4

12

 Gain% =

0.50

x 100

%

=

100

% = 14

2

%

3.50

7

7

 

 

 

Answer:14 Option B

 

Explanation:

C.P. of 1st transistor = Rs.

100

x 840

= Rs. 700.

120

C.P. of 2nd transistor = Rs.

100

x 960

= Rs. 1000

96

So, total C.P. = Rs. (700 + 1000) = Rs. 1700.

Total S.P. = Rs. (840 + 960) = Rs. 1800.

 Gain % =

100

x 100

%

= 5

15

%

1700

17

 

 

 

Answer:15 Option B

 

Explanation:

C.P. of 56 kg rice = Rs. (26 x 20 + 30 x 36) = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs. (56 x 30) = Rs. 1680.

 Gain =

80

x 100

% = 5%.

1600

 

Answer:16 Option D

 

Explanation:

So we have C.P. = 27.50
S.P. = 28.60

Gain = 28.60 – 27.50 = Rs. 1.10

Gain%=(Gain/Cost100)%=(1.10/27.50100)%=4%

 

 

 

 

Answer:17 Option B

 

Explanation:

We know, C.P. = 5000
S.P. = 4000
Loss = 5000 – 4000 = 1000

Loss%=(Loss/Cost100)%=(1000/5000100)%=20%

 

 

Answer:18 Option D

 

Explanation:

Hint: Calculate profit percent as

Profit% = (profit/cost) * 100

 


,

Profit and Loss

Profit and loss are two of the most important concepts in business. Profit is the amount of Money that a business makes after it has paid for all of its expenses. Loss is the amount of money that a business loses when its expenses are more than its revenue.

There are many different ways to calculate profit and loss. One common way is to use the following formula:

Profit = Revenue – Expenses

Revenue is the amount of money that a business brings in from selling its products or Services. Expenses are the costs that a business incurs in order to operate, such as rent, salaries, and materials.

Another way to calculate profit and loss is to use the following formula:

Net income = Gross profit – Operating expenses – Non-operating expenses – Income taxes

Gross profit is the amount of money that a business makes from selling its products or services after it has deducted the cost of goods sold. Operating expenses are the costs that a business incurs in order to operate, such as rent, salaries, and materials. Non-operating expenses are the costs that a business incurs that are not directly related to its operations, such as interest expense and Investment income. Income taxes are the taxes that a business pays on its income.

Profit and loss are important because they can tell you how well a business is doing. A business that is making a profit is doing well, while a business that is making a loss is not doing well. Profit and loss can also be used to compare different businesses. For example, you can compare the profit and loss of two different companies in the same Industry to see which company is doing better.

Accounting Profit

Accounting profit is the difference between a company’s revenue and its expenses. It is calculated by taking the company’s total revenue and subtracting its total expenses. Accounting profit is a measure of a company’s profitability. It is used to determine a company’s financial Health and to make decisions about future investments.

Break-Even Point

The break-even point is the point at which a company’s revenue equals its expenses. At the break-even point, a company is neither making a profit nor a loss. The break-even point can be calculated by using the following formula:

Break-even point = Fixed costs / Contribution margin

Fixed costs are the costs that a company incurs regardless of its level of production. Contribution margin is the amount of revenue that a company generates after it has deducted its variable costs.

Gross Profit

Gross profit is the difference between a company’s revenue and its cost of goods sold. It is calculated by taking the company’s total revenue and subtracting its cost of goods sold. Gross profit is a measure of a company’s profitability. It is used to determine a company’s financial health and to make decisions about future investments.

Net Income

Net income is a company’s total revenue minus its total expenses, including taxes. It is also known as earnings after tax (EAT) or net earnings. Net income is the most important measure of a company’s profitability. It is used to determine a company’s financial health and to make decisions about future investments.

Operating Profit

Operating profit is a company’s net income before interest and taxes. It is calculated by taking a company’s net income and adding back its interest expense and taxes. Operating profit is a measure of a company’s profitability from its core operations. It is used to determine a company’s financial health and to make decisions about future investments.

Profit Margin

Profit margin is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its revenue. Profit margin is expressed as a percentage. A high profit margin indicates that a company is efficient in its operations and is able to generate a high level of profit from its sales.

Return on Assets

Return on assets (ROA) is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its total assets. ROA is expressed as a percentage. A high ROA indicates that a company is efficient in its use of assets and is able to generate a high level of profit from its assets.

Return on Equity

Return on equity (ROE) is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its shareholders’ equity. ROE is expressed as a percentage. A high ROE indicates that a company is efficient in its use of equity and is able to generate a high level of profit from its equity.

Sales Revenue

Sales revenue is the total amount of money that a company receives from selling its products or services. It is calculated by taking the total number of units sold and multiplying it by the price per unit. Sales

What is a balance sheet?

A balance sheet is a financial statement that reports a company’s assets, liabilities, and equity at a specific point in time.

What is an income statement?

An income statement is a financial statement that reports a company’s revenues, expenses, and net income for a specific period of time.

What is a cash flow statement?

A cash flow statement is a financial statement that reports a company’s cash inflows and outflows for a specific period of time.

What is a statement of retained earnings?

A statement of retained earnings is a financial statement that reports a company’s beginning retained earnings, net income, dividends, and ending retained earnings for a specific period of time.

What is a break-even point?

The break-even point is the point at which a company’s revenues equal its expenses.

What is margin of safety?

The margin of safety is the amount by which a company’s revenues can decline before it reaches its break-even point.

What is return on investment (ROI)?

Return on investment is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its total assets.

What is return on equity (ROE)?

Return on equity is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its total equity.

What is debt-to-equity ratio?

The debt-to-equity ratio is a measure of a company’s financial leverage. It is calculated by dividing a company’s total debt by its total equity.

What is current ratio?

The current ratio is a measure of a company’s liquidity. It is calculated by dividing a company’s current assets by its current liabilities.

What is quick ratio?

The quick ratio is a measure of a company’s liquidity. It is calculated by dividing a company’s quick assets by its current liabilities.

What is inventory turnover ratio?

The inventory turnover ratio is a measure of a company’s efficiency in managing its inventory. It is calculated by dividing a company’s cost of goods sold by its Average inventory.

What is days sales outstanding (DSO)?

Days sales outstanding is a measure of a company’s efficiency in collecting its receivables. It is calculated by dividing a company’s average accounts receivable by its average daily sales.

What is accounts payable turnover ratio?

The accounts payable turnover ratio is a measure of a company’s efficiency in paying its suppliers. It is calculated by dividing a company’s cost of goods sold by its average accounts payable.

What is days payable outstanding (DPO)?

Days payable outstanding is a measure of a company’s efficiency in paying its suppliers. It is calculated by dividing a company’s average accounts payable by its average daily purchases.

What is gross profit margin?

The gross profit margin is a measure of a company’s profitability. It is calculated by dividing a company’s gross profit by its net sales.

What is operating profit margin?

The operating profit margin is a measure of a company’s profitability. It is calculated by dividing a company’s operating profit by its net sales.

What is net profit margin?

The net profit margin is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its net sales.

What is earnings per share (EPS)?

Earnings per share is a measure of a company’s profitability. It is calculated by dividing a company’s net income by its number of Shares outstanding.

What is price-to-earnings ratio (P/E ratio)?

The price-to-earnings ratio is a measure of a company’s valuation. It is calculated by dividing a company’s stock price by its earnings per share.

What is dividend yield?

The dividend yield is a measure of a company’s profitability. It is calculated by dividing a company’s annual dividend per share by its stock price.

What is book value per share?

The book value per share is a measure of a company’s assets minus its liabilities, divided by its number of shares outstanding.

What is market capitalization?

The market capitalization is a measure of a company’s size. It is calculated by multiplying a company’s stock price by its number of shares outstanding.

What is beta?

Beta is a measure of a stock’s volatility relative

Sure, here are some multiple choice questions about accounting without mentioning the topic of profit and loss:

  1. Which of the following is not a financial statement?
    (a) Income statement
    (b) Balance sheet
    (c) Statement of cash flows
    (d) Statement of retained earnings

  2. Which of the following is not an asset?
    (a) Cash
    (b) Accounts receivable
    (c) Inventory
    (d) Accounts payable

  3. Which of the following is not a liability?
    (a) Accounts payable
    (b) Notes payable
    (c) Common stock
    (d) Retained earnings

  4. Which of the following is not an equity account?
    (a) Common stock
    (b) Retained earnings
    (c) Accounts payable
    (d) Notes payable

  5. Which of the following is not a revenue account?
    (a) Sales
    (b) Cost of goods sold
    (c) Depreciation expense
    (d) Interest expense

  6. Which of the following is not an expense account?
    (a) Cost of goods sold
    (b) Depreciation expense
    (c) Interest expense
    (d) Income tax expense

  7. Which of the following is not a statement of financial position?
    (a) Balance sheet
    (b) Income statement
    (c) Statement of cash flows
    (d) Statement of retained earnings

  8. Which of the following is not a statement of comprehensive income?
    (a) Income statement
    (b) Statement of cash flows
    (c) Statement of retained earnings
    (d) Statement of changes in equity

  9. Which of the following is not a statement of cash flows?
    (a) Operating activities
    (b) Investing activities
    (c) Financing activities
    (d) Statement of retained earnings

  10. Which of the following is not a statement of changes in equity?
    (a) Net income
    (b) Comprehensive income
    (c) Retained earnings
    (d) Accumulated other comprehensive income

I hope these questions were helpful!

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