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Shares and Dividend Mathematics - Shares and Dividend

ICSE - STD 10 - Mathematics (ICSE - English Medium). 110 questions in this chapter.

Question types

Shares and Dividend question types

110 questions across 6 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.

110
Questions
6
Question groups
5
Question types
Sample Questions

Shares and Dividend questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 3[3 marks sum]3 Marks
Ashok invested Rs.26,400 in 12%, Rs.25 shares of a company. If he receives a dividend of Rs.2,475, find the:
(i) number of shares he bought.
(ii) market value of each share.
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Q 4[3 marks sum]3 Marks
Ashwarya bought 496, Rs.100 shares at Rs.132 each, find :
(i) Investment made by her
(ii) Income of Ashwarya from these shares, if the rate of dividend is 7.5%.
(iii) How much extra must ashwarya invest in order to increase her income by Rs.7,200
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Q 5[3 marks sum]3 Marks
How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an income of Rs. 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.
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Q 7[3 marks sum]3 Marks
Mr. Parekh invested Rs. 52,000 on Rs. 100 shares at a discount of Rs. 20 paying 8% dividend. At the end of one year, he sells the shares at a premium of Rs. 20. find
1) The annual dividend
2) The profit earned including his dividend.
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Q 8[5 marks sum]5 Marks
Mr. Gupta has a choice to invest in ten-rupee shares of two firm at Rs. 13 or at Rs. 16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find :
(i) Which firm is paying better.
(ii) If Mr. Gupta invests equally in both the firms and the difference between the returns from them is Rs. 30, find how much, in all, does he invest.
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Q 9[5 marks sum]5 Marks
A man invests a certain sum of money in 6% hundred-rupee shares at Rs.12 premium. When the shares fell to Rs.96, he sold out all the shares bought and invested the proceed in 10%, ten-rupee shares at Rs.8. If the change in his income is Rs.540, Find the sum invested originally
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Q 10[5 marks sum]5 Marks
Gopal  has some Rs.100 shares of company A, paying 10% dividend. He sells a certain number of these shares at a discount of 20% and invests the proceeds in Rs.100 shares at Rs.60 of company B paying 20% dividend. If his income, from the shares sold, increases by Rs.18,000, find the number of shares sold by Gopal.
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Q 11[5 marks sum]5 Marks
Gagan invested Rs.80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate:
(i) His investment in shares on the whole
(ii) The number of shares of first kind that he bought
(iii) Percentage return, on the shares bought on the whole.
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Q 12[5 marks sum]5 Marks
A man invests a certain sum on buying 15% Rs.100 shares at 20% premium. Find :
(i) His income from one share
(ii) The number of shares bought to have an income, from the dividend, Rs.6480
(iii) Sum invested
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Q 13[4 marks sum]4 Marks
Mr. Gupta has a choice to invest in ten-rupee shares of two firm at Rs. 13 or at Rs. 16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find :
(i) Which firm is paying better.
(ii) If Mr. Gupta invests equally in both the firms and the difference between the returns from them is Rs. 30, find how much, in all, does he invest.
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Q 14[4 marks sum]4 Marks
A man invests a certain sum of money in 6% hundred-rupee shares at Rs.12 premium. When the shares fell to Rs.96, he sold out all the shares bought and invested the proceed in 10%, ten-rupee shares at Rs.8. If the change in his income is Rs.540, Find the sum invested originally
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Q 15[4 marks sum]4 Marks
Gopal  has some Rs.100 shares of company A, paying 10% dividend. He sells a certain number of these shares at a discount of 20% and invests the proceeds in Rs.100 shares at Rs.60 of company B paying 20% dividend. If his income, from the shares sold, increases by Rs.18,000, find the number of shares sold by Gopal.
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Q 16[4 marks sum]4 Marks
Gagan invested Rs.80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate:
(i) His investment in shares on the whole
(ii) The number of shares of first kind that he bought
(iii) Percentage return, on the shares bought on the whole.
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Q 17[4 marks sum]4 Marks
A man invests a certain sum on buying 15% Rs.100 shares at 20% premium. Find :
(i) His income from one share
(ii) The number of shares bought to have an income, from the dividend, Rs.6480
(iii) Sum invested
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Q 18MCQ1 Mark
The sum invested to purchase 15 shares of a company of nominal value 75 available at a discount of 20% is:
  • A
    60
  • B
    90
  • C
    1350
  • ✓
    900

Answer: D.

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Q 19MCQ1 Mark
1.5% 50 shares at 120
2.7% 100 shares at 120
3.8% 10 shares at 13.50
Which is better investment above?
  • ✓
    Investment 1
  • B
    Investment 2
  • C
    Investment 3
  • D
    Investment 1 = Investment 2 = Investment 3

Answer: A.

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Q 20MCQ1 Mark
12% 25 shares at a discount of  5 means that:
1. The dividend on 1 share = 3 p.a.
2. The rate of return p.a. $=\left(\frac{3}{20} \times 100\right) \%=15 \%$
Which of the statement is valid?
  • A
    only 1
  • B
    only 2
  • ✓
    both 1 and 2
  • D
    neither 1 and 2

Answer: C.

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Q 21MCQ1 Mark
1. Shares of company A, paying 12%, 100 shares are at 80.
2. Shares of company B, paying 12%, 100 shares at 100.
3. Shares of company C, paying 12%, 100 shares are at 120.
Shares of which company are at premium?
  • A
    Company A
  • B
    Company B
  • ✓
    Company C
  • D
    Company A and C

Answer: C.

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Q 22MCQ1 Mark
Miss Parisa invests 24,840 on 10% dividend, 20 shares of a company. If the receives a dividend of 2,400, then marked value of each share will be:
  • ✓
    20.70
  • B
    21.75
  • C
    18.75
  • D
    19.7

Answer: A.

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Q 23Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If a share of  100 is selling at  88 , then it is said to be selling at a discount of  12 or at 12 below par.
Reason (R): If the market value of a share is less than its nominal value the share is called at discount or below par.
  • ✓
    Both assertion and reason are correct and reason is the correct explanation of assertion.
  • B
    Both assertion and reason are correct but reason is not the correct explanation of assertion
  • C
    Assertion is correct but reason is incorrect.
  • D
    Assertion is incorrect but reason is correct.

Answer: A.

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Q 24Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): If a share of 100 is selling at 88, then it is said to be selling at a discount of 12 or at 12 below par.
Reason (R): If the market value of a share is less than its nominal value the share is called at discount or below par.
  • ✓
    Both assertion and reason are correct and reason is the correct explanation of assertion.
  • B
    Both assertion and reason are correct but reason is not the correct explanation of assertion
  • C
    Assertion is correct but reason is incorrect.
  • D
    Assertion is incorrect but reason is correct.

Answer: A.

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Q 25Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): A man purchase 600 shares of face value 40 at par. It a dividend of 1680 was received at the end of the year, the rate of dividend is 7%
Reason (R): If annual income = number of shares rate of dividend face value of one share.
Then, Rate of dividend
$=\left(\frac{\text { annual income }}{\text { investment }} \times 100\right) \%$
  • ✓
    Both assertion and reason are correct and reason is the correct explanation of assertion.
  • B
    Both assertion and reason are correct but reason is not the correct explanation of assertion
  • C
    Assertion is correct but reason is incorrect.
  • D
    Assertion is incorrect but reason is correct.

Answer: A.

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Q 26Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): The equity shareholders are paid dividend on the shares held by them.
Reason (R): As the equity shareholders are the owners and dividend form their earning.
  • A
    Both assertion and reason are correct and reason is the correct explanation of assertion.
  • ✓
    Both assertion and reason are correct but reason is not the correct explanation of assertion
  • C
    Assertion is correct but reason is incorrect.
  • D
    Assertion is incorrect but reason is correct.

Answer: B.

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