Chapter 3ICSE Class 10 Maths100% Free

Shares and Dividends — Important Questions

13 hand-picked ICSE Class 10 Maths important questions for Shares and Dividends, each with a full model answer — the formats and topics most likely to appear in your board exam.

13
Questions
6
Question types
32
Total marks
₹0
With answers
Quick answer

High-yield ICSE Shares and Dividends questions test the difference between nominal (face) value and market value, computing dividend as rate×NV×number of shares\text{rate}\times\text{NV}\times\text{number of shares}, finding the number of shares as investmentmarket value\dfrac{\text{investment}}{\text{market value}}, and the percentage return incomeinvestment×100\dfrac{\text{income}}{\text{investment}}\times100. Comparison-of-investment and change-of-investment problems appear almost every year.

About Shares and Dividends

In the ICSE Class 10 Maths chapter Shares and Dividends you buy shares at their market value while dividends are always paid on the nominal (face) value. You compute annual income (dividend), the number of shares bought, the money invested, and the percentage return on the investment, and you compare or switch between different investments.

Nominal value and market valueDividend on sharesNumber of shares and investmentPercentage return (yield)Comparing and changing investments

Key concepts & formulas

Nominal value vs market value

Dividend is always a percentage of the nominal (face) value. A share bought above face value is at a premium, below face value is at a discount. Investment == number of shares ×\times market value.

Dividend and number of shares

Dividend=rate×nominal value×number of shares.\text{Dividend}=\text{rate}\times\text{nominal value}\times\text{number of shares}. Number of shares =investmentmarket value=total nominal valuenominal value per share.=\dfrac{\text{investment}}{\text{market value}}=\dfrac{\text{total nominal value}}{\text{nominal value per share}}.

Percentage return (yield)

Return %=annual incomeinvestment×100.\text{Return }\%=\dfrac{\text{annual income}}{\text{investment}}\times100. Buying at a premium lowers the yield below the dividend rate; buying at a discount raises it above.

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Important questions with answers

Try each on paper first, then reveal the model answer to check your method.

Question typeCountMarks
MCQ41
Assertion–Reason11
Very Short22
Short Answer33
Long Answer25
Case-based14

Multiple-choice questions (1 mark)

Q1MCQEasy1 mark

The dividend on a share is always calculated on its:

  1. (a)

    Nominal (face) value

  2. (b)

    Market value

  3. (c)

    Investment

  4. (d)

    Premium

Show model answer

Answer: (a) Nominal (face) value.

A company declares a dividend as a percentage of the face value of a share, regardless of the price at which it is traded.

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Q2MCQEasy1 mark

A 100\text{₹}100 share pays a dividend of 8%8\%. The dividend per share is:

  1. (a)

    8\text{₹}8

  2. (b)

    80\text{₹}80

  3. (c)

    0.08\text{₹}0.08

  4. (d)

    108\text{₹}108

Show model answer

Answer: (a) 8\text{₹}8.

Dividend =8% of 100=8=8\%\text{ of }100=\text{₹}8 per share.

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Q3MCQModerate1 mark

A man invests 4000\text{₹}4000 in 50\text{₹}50 shares that are quoted at a market value of 80\text{₹}80. The number of shares he buys is:

  1. (a)

    5050

  2. (b)

    8080

  3. (c)

    4040

  4. (d)

    100100

Show model answer

Answer: (a) 5050.

Number of shares =investmentmarket value=400080=50.=\dfrac{\text{investment}}{\text{market value}}=\dfrac{4000}{80}=50.

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Q4MCQHOTS1 mark

A 100\text{₹}100 share is bought at 125\text{₹}125 and pays a dividend of 10%10\%. The percentage return on the investment is:

  1. (a)

    8%8\%

  2. (b)

    10%10\%

  3. (c)

    12.5%12.5\%

  4. (d)

    12%12\%

Show model answer

Answer: (a) 8%8\%.

Dividend per share =10% of 100=10=10\%\text{ of }100=\text{₹}10; return =10125×100=8%.=\dfrac{10}{125}\times100=8\%.

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Assertion–Reason questions (1 mark)

Q5Assertion–ReasonModerate1 mark

Assertion (A): Buying a share at a premium gives a percentage return lower than the declared dividend rate.

Reason (R): The percentage return is the dividend expressed as a percentage of the market value, which exceeds the nominal value when the share is at a premium.

  1. (a)

    Both A and R are true and R is the correct explanation of A

  2. (b)

    Both A and R are true but R is not the correct explanation of A

  3. (c)

    A is true but R is false

  4. (d)

    A is false but R is true

Show model answer

Answer: (a) Both are true and R explains A: dividend is fixed on the nominal value, but return divides it by the larger market value, so at a premium the return falls below the dividend rate.

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Very short answer questions (2 marks)

Q6Very ShortEasy2 marks

A man holds 200200 shares of nominal value 10\text{₹}10 each in a company paying a dividend of 15%15\%. Find his annual dividend income.

Show model answer

Total nominal value =10×200=2000.=10\times200=\text{₹}2000.

Dividend =15% of 2000=15100×2000=300.=15\%\text{ of }2000=\dfrac{15}{100}\times2000=\text{₹}300.

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Q7Very ShortModerate2 marks

A 100\text{₹}100 share pays a dividend of 12%12\% and gives a return of 8%8\% to the buyer. Find the market value of the share.

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Dividend per share =12% of 100=12.=12\%\text{ of }100=\text{₹}12.

Return %=dividendmarket value×1008=12MV×100.\%=\dfrac{\text{dividend}}{\text{market value}}\times100\Rightarrow 8=\dfrac{12}{\text{MV}}\times100.

MV=12×1008=150.\text{MV}=\dfrac{12\times100}{8}=\text{₹}150.

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Short answer questions (3 marks)

Q8Short AnswerEasy3 marks

A man buys 300300 shares of nominal value 100\text{₹}100 each at a premium of 20\text{₹}20. The company pays a dividend of 12%12\%. Find (i) his investment, (ii) his annual dividend, and (iii) his percentage return.

Show model answer

Market value =100+20=120.=100+20=\text{₹}120.

(i) Investment =300×120=36000.=300\times120=\text{₹}36000.

(ii) Dividend =12% of (100×300)=12% of 30000=3600.=12\%\text{ of }(100\times300)=12\%\text{ of }30000=\text{₹}3600.

(iii) Return =360036000×100=10%.=\dfrac{3600}{36000}\times100=10\%.

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Q9Short AnswerModerate3 marks

A man invests 9000\text{₹}9000 in 50\text{₹}50 shares available at a discount of 5\text{₹}5. The company pays a dividend of 8%8\%. Find the number of shares he buys and his annual income.

Show model answer

Market value =505=45.=50-5=\text{₹}45.

Number of shares =900045=200.=\dfrac{9000}{45}=200.

Annual income =8% of (50×200)=8% of 10000=800.=8\%\text{ of }(50\times200)=8\%\text{ of }10000=\text{₹}800.

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Q10Short AnswerHOTS3 marks

A man wants an annual income of 1800\text{₹}1800 from 9%9\% shares of nominal value 100\text{₹}100 each. If the shares are available at a discount of 10\text{₹}10, find the number of shares he must buy and the sum he must invest.

Show model answer

Dividend per share =9% of 100=9.=9\%\text{ of }100=\text{₹}9.

Number of shares needed =18009=200.=\dfrac{1800}{9}=200.

Market value =10010=90.=100-10=\text{₹}90.

Investment =200×90=18000.=200\times90=\text{₹}18000.

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Long answer questions (5 marks)

Q11Long AnswerModerate5 marks

Mr. Roy buys 200200 shares of face value 100\text{₹}100 each at 160\text{₹}160 in a company paying a 20%20\% dividend. He later sells all the shares at 180\text{₹}180 each and invests the whole proceeds in 50\text{₹}50 shares quoted at 40\text{₹}40 paying an 8%8\% dividend. Find:

(i) his original annual dividend,

(ii) the sale proceeds,

(iii) the number of new shares he buys,

(iv) his new annual dividend, and

(v) the change in his annual income.

Show model answer

(i) Original dividend =20% of (100×200)=20% of 20000=4000.=20\%\text{ of }(100\times200)=20\%\text{ of }20000=\text{₹}4000.

(ii) Sale proceeds =200×180=36000.=200\times180=\text{₹}36000.

(iii) New shares =3600040=900.=\dfrac{36000}{40}=900.

(iv) New dividend =8% of (50×900)=8% of 45000=3600.=8\%\text{ of }(50\times900)=8\%\text{ of }45000=\text{₹}3600.

(v) Change =40003600=400=4000-3600=\text{₹}400 decrease in annual income.

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Q12Long AnswerHOTS5 marks

A company has 1000010000 shares of nominal value 100\text{₹}100 each and declares an annual dividend of 15%15\%. Mr. Verma owns 250250 of these shares, bought at 140\text{₹}140 each. Find:

(i) the total dividend paid by the company,

(ii) Mr. Verma's annual dividend,

(iii) his total investment, and

(iv) his percentage return, correct to two decimal places.

Show model answer

(i) Total dividend =15% of (100×10000)=15% of 1000000=150000.=15\%\text{ of }(100\times10000)=15\%\text{ of }1000000=\text{₹}150000.

(ii) Verma's dividend =15% of (100×250)=15% of 25000=3750.=15\%\text{ of }(100\times250)=15\%\text{ of }25000=\text{₹}3750.

(iii) Investment =250×140=35000.=250\times140=\text{₹}35000.

(iv) Return =375035000×100=10.71410.71%.=\dfrac{3750}{35000}\times100=10.714\ldots\approx10.71\%.

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Case-based questions (4 marks)

Q13Case-basedModerate4 marks

A man invests 60000\text{₹}60000 in shares of nominal value 100\text{₹}100 each, buying them at a market value of 120\text{₹}120. The company pays an annual dividend of 15%15\%.

(i) Find the number of shares he buys.

(ii) Find his annual dividend.

(iii) Find his percentage return.

(iv) If the market value later rises to 150\text{₹}150 and he sells all the shares, find his profit.

Show model answer

(i) Number of shares =60000120=500.=\dfrac{60000}{120}=500.

(ii) Dividend =15% of (100×500)=15% of 50000=7500.=15\%\text{ of }(100\times500)=15\%\text{ of }50000=\text{₹}7500.

(iii) Return =750060000×100=12.5%.=\dfrac{7500}{60000}\times100=12.5\%.

(iv) Sale proceeds =500×150=75000=500\times150=\text{₹}75000; profit =7500060000=15000.=75000-60000=\text{₹}15000.

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