# SELINA Solutions for Class 10 Maths Chapter 3 - Shares and Dividends

## Chapter 3 - Shares and Dividends Exercise Ex. 3(A)

Nominal value of 120 shares = Rs 40 120= Rs 4,800

Market value of 120 shares= Rs 42.50 120= Rs 5,100

His profit = Rs 5,100 - Rs 4,800= Rs 300 Ans.

Market value of 1 share= Rs 63.25

Market value of 85 shares= Rs 63.25 85= Rs 5,376.25 Ans.

Nominal value of 1 share = Rs 5

Market value 1 share = Rs 5 + Rs 1.15 = Rs 6.15

Total money invested = Rs 800

Market value of 160 shares= 160 x 6.15= Rs 984

His profit = Rs 984 - Rs 800= Rs 184 Ans.

Market value of 1 share= Rs 16

Nominal value of 1 share= Rs 10

Money invested= Rs 3,072

Nominal value of 192 shares= 10 x 192= Rs 1,920

Total money invested= Rs 7,770

Nominal value of 1 share= Rs 100

Market value of 1 share= Rs 100 + Rs 5= Rs 105

Nominal value of 74 shares= 74 x 100= Rs 7,400

Nominal value of 1 share= Rs 50

Market value of 1 share= Rs 50 + Rs 10= Rs 60

Market value of 320 shares= 320 x 60 = Rs 19,200

Nominal value of 320 shares= 320 x 50= Rs 16,000

Nominal value of 1 share= Rs 75

Market value of 1 share= Rs 75 - Rs 15= Rs 60

Market value of 120 shares= 120 x 60= Rs 7,200

Nominal value of 120 shares= 120 x 75= Rs 9,000

Nominal value of 1 share= Rs 50

Nominal value of 300 shares= 300 x 50 = Rs 15,000

His net income= Rs 3,000 - Rs 90= Rs 2,910 Ans.

Nominal value of 1 share= Rs 10

Nominal value of 1000 shares= 1000 x 10 = Rs 10,000

His net income= Rs 1,500 - Rs 330= Rs 1,170 Ans.

Total investment= Rs 8,800

Nominal value of 1 share= Rs 100

Market value of 1 share= Rs 110

Nominal value of 80 shares= 80 x 100= Rs 8,000

Let dividend%= y%

Nominal value of 1 share= Rs 24

Market value of 1 share= Rs 24+ 12% of Rs 24

= Rs 24+ Rs 2.88= Rs 26.88

Total investment= Rs 1,680

Nominal value of 62.5 shares= 62.5 x 24= Rs 1,500

Total investment= Rs 7,500

Nominal value of 1 share= Rs 100

No. of shares purchased= y

Nominal value of y shares= 100 x y= Rs(100y)

Dividend%= 10%

Dividend = Rs 500

Ans.

## Chapter 3 - Shares and Dividends Exercise Ex. 3(B)

Nominal value of 1share= Rs100

Nominal value of 75 shares= 100 75= Rs7,500

Dividend% = 9%

Let market price of 1 share= Rsy

Then market price of 75 shares= Rs75y

Profit% on investment= 12%

Nominal value of 1 share= Rs25

Market value of 1 share= Rs40

Profit% on investment= 4%

Then profit on 1 share = 4% of Rs40= Rs1.60

Ans.

No. of shares purchased= 60

Then dividend on 60 shares= 60 Rs1.60= Rs96 Ans.

Nominal value of 1 share= Rs100

Market value of 1 share= Rs100+ Rs20= Rs120

Profit% on investment of 1 share=15%

Then profit= 15% of Rs120= Rs18

Ans.

Nominal value of 1 share= Rs50

Market value of 1 share= Rs50 - 10% of Rs50

= Rs50 - Rs5= Rs45

Profit % on investment= 20%

Then profit on 1 share= 20% of Rs45= Rs9

Ans.

Dividend% = 8%

Dividend = Rs2,840

Let nominal value of shares= Rsy

Nominal value of 1 share= Rs100

Market value of 1 share= Rs110

Let no. of shares purchased= n

Then nominal value of n shares= Rs(100n)

Dividend%= 12%

Dividend= Rs1,680

Then market value of 140 shares= 140 110= Rs15,400 Ans.

Nominal value of 1 share= Rs60

Market value of 1 share= Rs60+ 25% of Rs60

= Rs60+ Rs15= Rs75

Let no. of shares purchased= n

Then nominal value of n shares= Rs(60n)

Dividend%= 11.2%

Dividend= Rs1,680

Then market value of 250 shares= 250 75= Rs18,750 Ans.

Nominal value of 1 share= Rs20

Market value of 1 share= Rs20+Rs4= Rs24

No. of shares purchased= 400

Nominal value of 400 shares= 400 x 20= Rs8,000

(i)Market value of 400 shares= 400 x 24= Rs9,600

(ii)Dividend%= 12%

Dividend = 12% of Rs8,000

(iii)

Nominal value of 1 share= Rs20

Market value of 1 share= Rs20 - 20% of Rs20

= Rs20 - Rs4 = Rs16

No. of shares purchased= 400

Nominal value of 400 shares= 400 x 20= Rs8,000

(i)Market value of 400 shares= 400 x 16= Rs6,400

(ii)Return%= 12%

Income= 12% of Rs6,400

Nominal value of 1 share= Rs100

Nominal value of 10,000shares =10,000 x Rs100= Rs10,00,000

(i)Dividend%= 5%

Dividend = 5% of Rs10,00,000

(ii)Nominal value of 72 shares= Rs100 x 72= Rs7,200

Dividend= 5% of Rs7,200

(iii)Let market value of 1 share= Rs y

Then market value of 10,000 shares= Rs(10,000y)

Return%= 4%

Nominal value of 1 share= Rs100

Market value of 1 share= Rs100+40% of Rs100

= Rs100+Rs40= Rs140

No. of shares purchased= 1800

Nominal value of 1800 shares= 1800 x 100= Rs1,80,000

Market value of 1800 shares= 1800 x 140 = Rs2,52,000

(i)Dividend%= 15%

Dividend = 15% of Rs1,80,000

Ans.

(ii)

Nominal value of 1 share= Rs100

Market value of 1 share= Rs140

Total investment= Rs11,200

Then nominal value of 80 shares= 80 x 100= Rs8,000

(i)Dividend%= 6%

Dividend= 6% of Rs8,000

(ii)

1^{st} case

Nominal value of 1 share= Rs100

Nominal value of 60 shares= Rs100 x 60= Rs6,000

Market value of 1 share= Rs100+ 60% of Rs100

= Rs100+ Rs60= Rs160

Market value of 60 shares= Rs160 x 60= Rs9,600 Ans.

(ii)Nominal value of 1 share= Rs50

Market value of 1 share= Rs50 - 4% of Rs50

= Rs50 - Rs2= Rs48

Ans.

(iii)Nominal value of 200 shares=Rs50 x 200= Rs10,000

Dividend%= 18%

Dividend= 18% of Rs10,000

Ans.

(i)

Nominal value of 1 share= Rs100

Nominal value of 10,000 shares= Rs100 x 10,000= Rs10,00,000

Dividend%= 8%

Dividend = 8% of Rs10,00,000

(ii)

Market value of 90 shares= Rs150 x 90= Rs13,500

Nominal value of 90 shares= Rs100 x 90= Rs9,000

Dividend = 8% of Rs9,000

(iii)

1^{st} case

16%Rs.100 shares at 80 means;

Market value of 1 share= Rs80

Nominal value of 1 share= Rs100

Dividend= 16%

Income on Rs80= 16% of Rs100= Rs16

Income on Rs1

2^{nd} case

20% Rs.100 shares at 120 means;

Market value of 1 share= Rs120

Nominal value of 1 share= Rs100

Dividend= 20%

Income on Rs120= 20% of Rs100= Rs20

Income on Rs1

Then 16% Rs.100 shares at 80 is better investment.

(i)

__1 ^{st} firm__

Market value of 1 share= Rs120

Nominal value of 1 share= Rs100

Dividend= 5%

Income on Rs120= 5% of Rs100= Rs5

Income on Rs1

__2 ^{nd} firm__

Market value of 1 share= Rs132

Nominal value of 1 share= Rs100

Dividend= 6%

Income on Rs132= 6% of Rs100= Rs6

Income on Rs1

Then investment in second company is giving better return Ans.

(ii)

Income on investment of Rs26,400 in first firm

Income on investment of Rs26,400 in second firm

__1 ^{st} case__

Nominal value of 1 share= Rs10

Nominal value of 360 shares= Rs10 x 360= Rs3,600

Market value of 1 share= Rs21

Market value of 360 shares= Rs21 x 360= Rs7,560

Dividend%= 12%

Dividend= 12% of Rs3,600

__2 ^{nd} case__

Nominal value of 1 share= Rs5

Market value of 1 share= Rs3.50

Nominal value of 2160 shares=Rs5 x 2160= Rs10,800

Dividend%= 4.5%

Dividend= 4.5% of Rs10,800

Annual change in income= Rs486 - Rs432

= Rs54 increase Ans.

__1 ^{st} case__

Nominal value of 1 share= Rs20

Nominal value of 400 shares= Rs20 x 400= Rs8,000

Market value of 1 share= Rs18

Market value of 400 shares= Rs18 x 400= Rs7,200

Dividend%= 5%

Dividend= 5% of Rs8,000

__2 ^{nd} case__

Nominal value of 1 share= Rs10

Market value of 1 share= Rs12

Ans.

Nominal value of 600 shares=Rs10 x 600= Rs6,000

Dividend%= 7%

Dividend= 7% of Rs6,000

Annual change in income= Rs420 - Rs400

= Rs20 increase Ans.

For A

Total investment= Rs16,000

Nominal value of 1 share= Rs100

Market value of 1 share= Rs80

Nominal value of 200 shares= Rs100 x 200= Rs20,000

Dividend%= 3%

Dividend = 3% of Rs20,000

For B

Total investment= Rs16,000

Nominal value of 1 share= Rs10

Market value of 1 share= Rs10

Nominal value of 1600shares= 10 x 1600= Rs16,000

Dividend received by B= Dividend received by A

= Rs600

Total investment= Rs20,020

Nominal value of 1 share= Rs26

Market value of 1 share= Rs26+ 10% of Rs26

= Rs26+ Rs2.60= Rs28.60

Ans.

Nominal value of 700 shares= Rs26 x 700= Rs18,200

Dividend%= 15%

Dividend= 15% of Rs18,200

Ans.

## Chapter 3 - Shares and Dividends Exercise Ex. 3(C)

(i)

__1 ^{st} firm__

Nominal value of 1 share= Rs10

Market value of 1 share= Rs13

Dividend%= 5%

Dividend = 5% of Rs10= Rs0.50

__2 ^{nd} firm__

Nominal value of 1 share= Rs10

Market value of 1 share= Rs16

Dividend%= 6%

Dividend = 6% of Rs10= Rs0.60

Then first firm is paying better than second firm.

(ii)

Let money invested in each firm= Rs y

__For 1 ^{st} firm__

Total dividend

__For 2 ^{nd} firm__

Total dividend

Given- difference of both dividend= Rs30

Total money invested in both firms= Rs31,200 2

= Rs62,400 Ans.

(i) Total dividend = Rs. 2,475

(ii) Market value of 825 shares = Rs. 26,400

(i)

Total investment= Rs45,000

Market value of 1 share= Rs125

Nominal value of 360 shares= Rs100 x 360= Rs36,000

Let no. of shares sold= n

Then sale price of 1 share= Rs140

Total sale price of n shares= Rs8,400

Then

The no. of shares he still holds= 360 - 60= 300

(ii)

Nominal value of 300 shares= Rs100 300= Rs30,000

Dividend%= 15%

Dividend = 15% of Rs30,000

Total investment= Rs29,040

Nominal value of 1 share= Rs100

Market value of 1 share= Rs100+ 20% of Rs100

= Rs100 + Rs20=Rs120

Nominal value of 242 shares= Rs100 x 242= Rs24,200

Dividend%= 15%

Dividend= 15% of Rs24,200

(i)Nominal value of 1 share= Rs150

Dividend%= 12%

Dividend on I share= 12% of Rs150

Let market value of 1 share= Rs y

Return%= 10%

(ii)when dividend is Rs18, then investment is Rs180

When dividend is Rs1,350, then investment

=Rs 13, 500

Total investment= Rs50,760

Let 1^{st} part= Rs y

2^{nd} part=
Rs(50,760-y)

__For 1 ^{st} part__

Nominal value of 1 share= Rs100

Market value of 1 share= Rs100 - 8% of Rs100

= Rs100 - Rs8= Rs92

Dividend%= 8%

Dividend on 1 share= 8% of Rs100= Rs8

Total dividend

__For 2 ^{nd} part__

Nominal value of 1 share= Rs100

Market value of 1 share= Rs100 + 8% of Rs100

= Rs100 + Rs8= Rs108

Dividend%= 9%

Dividend on 1 share= 9% of Rs100= Rs9

Total dividend

Given that both dividend are equal

Then

1^{st} part= Rs24,840

2^{nd} part= Rs50760 -
Rs24,840= Rs25,920 Ans.

Let his total savings is Rs y

__1 ^{st} case__

His saving= of y = Rs

Market price of 1 share= Rs60

Then shares purchased=

Dividend on 1share= 20% of Rs50= Rs10

Total dividend=

__2 ^{nd} case __

His saving= of y= Rs

Market price of 1share= Rs110

Then shares purchased =

Dividend on 1share= 10% of Rs100= Rs10

Total dividend=

According to question

Total income = Rs9,200

The number of Rs50share= Ans.

The number of Rs100 share= Ans.

__1 ^{st} case__

Total investment= Rs4,500

Market value of 1 share= Rs15

Nominal value of 1 share= Rs10

Nominal value of 300 shares= Rs10 300= Rs3,000

Dividend=8% of Rs3,000

Sale price of 1 share= Rs30

Total sale price= Rs30 x 300= Rs9,000 Ans.

(ii)new market price of 1 share= Rs125

Ans.

(iii)

New nominal value of 1 share= Rs100

New nominal value of 72 shares= Rs100 x 72= Rs7,200

Dividend%= 12%

New dividend= 12% of Rs7,200

Change in annual income= Rs864 - Rs240

= Rs624 Ans.

Rate of dividend = 8%

Investment = Rs.52000

Market Rate = Rs.100 - 20 = Rs.80

No. of shares purchased =

(i) Annual dividend = 650 × 8 = Rs.5200 Ans.

(ii) On selling, market rate = Rs.100+20 = Rs.120

Sale price = 650 × 120 = Rs.78000

Profit = Rs.78000 - Rs.52000 = Rs.26000

Total gain = 26000 + 5200 = Rs.31200 Ans.

Face value of each share = Rs. 50

Dividend(%)=10%

Dividend on 1 share =

∴Number of shares bought =

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