Share and Dividend Class 10 ML Aggarwal Solutions for ICSE Maths

Share and Dividend Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3. Step by step solutions of Chapter 3 questions in simple and easy way to grasp the topics easily. Visit official Website CISCE  for detail information about ICSE Board Class-10 Mathematics.

Share and Dividend Class 10 ML Aggarwal Solutions for ICSE Maths

Share and Dividend Class 10 ML Aggarwal Solutions for ICSE Maths

Board    ICSE
Class 10
Subject Mathematics
Book ML Aggarwal
Chapter-3 Share and Dividend
Topics Solution of Exe-3 Questions
Edition 2024-2025

Share and Dividend

 Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3

Que-1: …. … …

Sol:  FV of shares = Rs. 20

the value of 60 shares = Rs. 20 × 60

= Rs. 1200

rate of dividend = 9%

total dividend = Rs. 1200 × 9%

= 1200 × (9/100)

= Rs 108

Que-2: …. … …

Sol:    rate of dividend = 8%

amount of dividend = Rs. 2840

nominal value of shares = (2840 × 100)/8

= Rs. 35500

Que-3: …. … …

Sol: FV of shares = Rs. 10

Number of shares = 200

Total  face value of 200 shares = 10 × 200

= Rs. 2000

Now, the amount invested for the purchase of 200 shares at the rate of Rs. 12.50 each

= 12.50 × 200

= Rs. 2500

rate of dividend = 8%

total amount of dividend = (2000 × 8)/100

= Rs. 160

Que-4:   …. … …

Sol:  amount of dividend = Rs. 65

rate of dividend = 5%

total face value = (65 × 100)/5

= Rs. 1300

If the face value is Rs. 1300, then the market value = Rs. 140

If the face value is Rs. 100, then the market value = (1430 × 100)/ 1300

= Rs. 110

Que-5:   …. … …

Sol:  Given FV = Rs. 100

(i) Given MV = Rs. 132

And the number of shares = 50

So investment = number of shares × market value

= 50 × 132

= Rs. 6600

(ii)  income per share = 7.5% of the face value

= (75/ 10 × 100) × 100

= Rs. 7.5

So annual income = 7.5 × 50

= Rs. 375

(iii)  new annual income = 375 + 150 = Rs. 525

the number of shares = 525/7.5 = 70

number of extra shares to be increased = 70 – 50

= 20

Que-6:   …. … …

Sol:  total number of shares = 1800

FV of each share = Rs. 100

And rate of dividend = 15%

Total face value of 1800 shares = 100 × 1800

= Rs. 180000

Hence, total dividend = 180000 × 15/100

= Rs. 2700

Hence market value of one share = 100 + 40 = Rs. 140

Now the total investment = 140 × 1800

= Rs. 252000

Hence, the percentage of his return

= (27000 × 100)/ 252000

= 10.7%

Que-7:   …. … …

Sol:  NV of each share = Rs. 25

MV of each share = Rs. 36

Total income = Rs. 720

and Rate of dividend = 12%

Therefore total nominal value = (100 × 720)/ 12

= Rs. 6000

Number of shares = 6000/25

= 240

Hence Total investment = 240 × 36

= Rs. 8640 ( Ans of first part )

Now, percentage return = (720 × 100)/ 8640

= 8.3%  ( Ans of second part )

Que-8:   …. … …

Sol:   investment = Rs. 26400

Face value of each share = Rs. 25

Rate of dividend = 12%

and Total dividend = Rs. 2475

Annual dividend  = NV of a share × number of shares × r/100

(i) Therefore number of shares = (2475/12) × (100/25)

= 825 shares

(ii) Market value of each share = (26400/825)

= Rs. 32

Que-9:   …. … …

Sol:  Investment = ₹ 4500

Face value of each share = ₹ 100

Discount = 10%

and rate of dividend = 7.5%

The MV of each share = ₹ (100 – 25) = ₹ 75

(i) The number of shares he purchases = 4500/75 = 60

(ii) Dividend = ₹ 7.5% of (60 x 100)

= ₹ 450

Hence, his annual income will be ₹ 450.

Que-10:   …. … …

Sol:   investment = Rs. 36000

Face value = Rs. 100

Premium = Rs. 20

and dividend = 15%

(i) Number of shares = 36000/120

= 300

(ii) Dividend = 15% 0f (100 × 300)

= Rs. 4500

(iii) Percentage of return = (4500/36000) × 100

= 450/36

= 12.5%

Que-11:   …. … …

Sol:  (i) Market value of one share = [(200/100) × 100] + 100

= Rs. 120

Number of shares = investment/ market value of one share

= 29040/120

= Rs 242

(ii) Therefore, the income from investment = 242 × 15

= Rs 3630

(iii) Percentage return on his investment = (dividend/ market value) × 100

= (15/120) × 100

= 12.5%

Que-12:   …. … …

Sol:   FV of each share = Rs. 10

Rate of dividend = 8% per annum

and Total dividend = Rs. 300

Therefore total face value of shares = (300 × 100)/ 8

= Rs. 3750

Number of shares = 3750/10

= 375

Que-13:   …. … …

Sol:   investment = Rs. 8800

FV of each share = Rs. 100

MV of each share = 100 + 10 = Rs. 110

Total income = Rs. 1200

Hence total Nominal value = (8800 × 100)/ 110

= Rs. 8000

(i) Number of shares = 8000/100

= 80

(ii) Rate of dividend = (1200 × 100)/ 8000

= 15%

Que-14:   …. … …

Sol: Total investment  = Rs. 45000

FV of each share = Rs. 125

Hence total number of shares = 45000/125

= 360 shares

Income from sold shares = Rs. 8400

Therefore, the number of shares sold = income from shares/ number of shares sold

= 8400/ 140

= 60

(i) Number of shares he still holds = 300

(ii) Market value of 300 shares = 300 × 140

= Rs. 42000

Face value of 300 shares = 300 × 125

= Rs. 37500

Difference = Market value – face value

= 42000 – 37500

= Rs. 4500

Que-15:   …. … …

Sol:   number of shares = 560

Face value  = Rs. 25

and Rate of dividend = 9%

Total face value of 560 shares = 25 × 560

= Rs. 14000

(i) Amount of dividend = 14000 × (9/100)

= Rs. 1260

(ii) MV of each share = Rs. 30

So Total investment = 30 × 560

= Rs. 16800

Hence percentage of interest on his investment

= (1200 × 100)/ 16800

= 7.5%

Que-16:   …. … …

Sol:  (i) number of shares = 10000

FV of each share = Rs. 100

and Rate of annual dividend = 8%

Total face value  = 100 × 10000

= Rs. 1000000

Dividend = (1000000 × 8)/ 100

= Rs. 80000

(ii) Number of shares = 90

FV of each share = Rs. 150

FV of 90 shares = 100 × 90

= Rs. 9000

Hence amount of dividend = (9000 × 8)/ 100

= Rs 720

Market value of 90 shares = 90 × 159

= Rs 13500

Hence, the rate of interest = (720 × 100)/ (13500 × 1)

= 16/3

= 5.3 %

Que-17:   …. … …

Sol:    update soon

Que-18:   …. … …

Sol:   investment = Rs. 7500

Rate of dividend = 10%,

Total income = Rs. 500.

and Face value of each share = Rs. 100

Total face value = (100 x 500)/10

= Rs. 5000

If the face value is Rs. 5000, then investment = Rs. 7500

And if the face value is Rs. 100, then the market value of each share = (7500 x 100)/ 5000

= Rs 150

Que-19:   …. … …

Sol:  Total shares = 400

FV of each share = Rs. 10

The MV of each share

= Rs. 10 + Rs. 2.50

= Rs. 12.50

Rate of dividend = 8%

Hence, the face value of 400 shares = 10 x 400

= Rs. 4000

(i) Total investment = 12.50 x 400

= Rs. 5000

(ii) Total dividend = 4000 x (8/100)

= Rs. 320

(iii) Yield percent = (320 x 100)/ 5000

= 32/5

= 6.4%

Que-20:   …. … …

Sol:   In first case

Total investment = Rs. 10400

Rate of dividend = 6%

Market value of each share = Rs. 104

Total dividend = (10400 x 6)/ 104

= Rs. 600

 in second case  

investment = Rs. 11440

Rate of dividend = 10.4%

The market value of each share = Rs. 143

Therefore, total dividend = (11440 x 10.4)/ 143

= Rs. 832

Total dividend from both cases = Rs. 600 + Rs. 832

= Rs. 1432

Que-21:   …. … …

Sol:  Let the investment in each case = Rs. 116 x 145

Dividend in the first case,

= (116 x 145 x 7)/ 116

= Rs. 1015

Dividend in the second case

= (116 x 145 x 9)/ 145

= Rs. 1044

the second type of shares is more profitable

Que-22:   …. … …

Sol: Let the investment in each case = Rs. 120 In the first case,

Dividend on Rs. 120 = Rs. 6

In the second case, a dividend on Rs. 10

= (8 x 10)/ 100

= 0.8

Now dividend on Rs. 15 = 0.8

Then dividend on Rs. 120 = (0.8 x 120)/ 15

= Rs. 6.4

Hence  the second type of shares, is more profitable.

Que-23:   …. … …

Sol:   Investment = Rs. 10080

Face value of each share = Rs. 100

Market value of each share = Rs. 112

and Rate of dividend = 6%

Total income for the year

= (10080 x 6)/ 112

= Rs. 540

Number of shares = 10080/112

= 90

Selling price of 90 shares at the rate of Rs. 96 each = 90 x 96

= Rs. 8640

Rate of dividend in new shares = 10%

Face value of each share = Rs. 10

The market value of each share = Rs. 8

Number of shares = 8640/8 = 1080

Face value of 1080 shares = 1080 x 10

= Rs. 10800

Dividend = (10800 x 10)/100

= Rs. 1080

Difference in income = 1080 – 540

= Rs. 540 more

Que-24:   …. … …

Sol:  Investment = ₹ 8500

Face value of each share = ₹ 100

The market value of each share = ₹ 170

Rate of dividend = 10%

Total income for the year

= ₹ (8500 x 10)/170

= ₹ 500

And, the number of shares = 8500/170 = 50

Selling price of 50 shares at the rate of ₹ (170 + 30) each = ₹ 50 x 200

= ₹ 10000

(i) The sale proceeds = ₹ 10000

Rate of dividend in new shares = 12%

Face value of each share = Rs. 100

The market value of each share = Rs. 125

(ii) Number of shares = 10000/125 = 80

Face value of 80 shares = ₹ 80 x 100

= ₹ 8000

Dividend = ₹ (8000 x 12)/100

= ₹ 960

(iii) Hence, the change in his annual income = ₹ (960 – 500)

= ₹ 460 more

Que-25:   …. … …

Sol:   Investment = Rs. 4368

Market value of each share = Rs. 91

Face value of each share = Rs. 100

So, number of shares = 4368/91

= 48

FV of 24 shares = 24 x 100

= Rs. 2400

Sale price of shares worth Rs. 2400 = (2400 x 95)/ 100

= Rs. 2280

Face value of remaining shares = 24 x 100

= Rs. 2400

Sale price of shares of remaining amount = (2400 x 85)/ 100

= Rs. 2040

Total amount received = 2280 + 2040

= Rs. 4320

Loss = 4368 – 4320

= Rs. 48

Que-26:   …. … …

Sol:   market value  = Rs. 80

Face value  = Rs. 50

Interest on investment = 4%

Dividend on Rs. 80 = (80 x 4)/ 100

= 32/10

Percent dividend = (32/10) x (100/50)

= 64/10

= 6.4%

Number of shares = 200

Face value of 200 shares = 200 x 50

= Rs. 10000

Dividend = Rs. 10000 x (6.4/100)

= Rs. 640

Que-27:   …. … …

Sol:  Market value of each shares

= 100 – 20 = Rs.80

Interest on investment of Rs. 80 = 15% x 80

= 80 x 15/100

= Rs. 12

Dividend on the face value of Rs. 100 = Rs. 12

Rate of dividend = 12%.

Que-28:   …. … …

Sol: Rate of dividend = 14%

Dividend on Rs. 50 = (14 x 50)/ 100

= Rs. 7

Now Rs. 10 is interest on the investment of = Rs. 100

Rs. 7 will be the interest on = (100 x 7)/ 10 = Rs. 70

Hence, the market value of Rs. 50 shares = Rs. 70

Que-29:   …. … …

Sol:  , No. of shares = 10000

Face value of each share = Rs. 100

Rate of dividend = 5%

(i) Total face value of 10000 shares

= Rs. 100 x 10000

= Rs. 1000000

Total amount of dividend = Rs. (1000000 × 5)/100

= Rs. 50000

(ii) Income of 72 shares = 72 × 5 = Rs. 360

(iii) Rate of interest on investment = 4%

Hence, market value of each share = Rs. 100/4 × 5

= Rs. 125

Que-30:   …. … …

Sol:   Face value of each share = Rs. 100

The market value of each share = Rs. 100 – Rs.25

= Rs. 75

Rate of dividend = 10%

Let the no. of shares be taken as x

Selling price = x × 75 = Rs. 75x

Face value of x shares = 100 x

Dividend annually = 100x × 10/100 = 10x

No. of shares purchased = 75x/80 = 15x/16

Face value of 15x/16 shares = 15x/16 × 100 = 1500x/16

Now, dividend = 1500x/16 × 16/100 = 15x

Thus, the increase in the income = 15x – 10x = 5x

5x = 2000

x = 2000/5 = 400

Hence, the number of shares purchased = 400

Que-31:   …. … …

Sol:  Let’s  investment in  first case = x

Then, the investment in second case = (6750 – x)

In first case, the dividend = Rs. x × (6/140)

= Rs. 3x/70

while dividend in second case = Rs. (6750 – x) × (5/125) = Rs. (6750 – x)/25

Total dividend = 3x/70 + (6750 – x)/25

But the total income given = Rs. 280

so equalize both

3x/70 + (6750 – x)/25 = 280

15x + 14(6750 – x) = 280 × 350 [Since, L.C.M = 350]

x = Rs. [(280 × 350) – (14 × 6750)]

= Rs. (98000 – 94500)

= Rs. 3500

Hence, investment in the first case = Rs. 3500

And investment in the second case = Rs. 6750 – Rs. 3500

= Rs. 3250

Que-32:   …. … …

Sol:   Total amount = Rs 20304

Let the amount invested in 9% Rs 50 at 8% premium = x

Then, the amount invested in 8% Rs 25 at 8% discount = 20304 – x

given that Income from both investments is equal

Now, income from the first type

= (x × 9)/(100 + 8)

= 9x/108

= x/12

Income from the second type

= [(20304 – x) × 8]/(100 – 8)

= [(20304 – x) × 8]/92

= 2(20304 – x)/23

both cases the annual income

So   x/12 = 2(20304 – x)/23

23x = 24(20304 – x) [After cross multiplication]

23x = 24 × 20304 – 24x

23x + 24x = 24 × 20304

47x = 24 × 20304

x = (24 × 20304)/47

= 10368

Hence, the amount invested in first type = Rs. 10368

And amount in the second type

= Rs. 20304 – Rs. 10368

= Rs. 9936

— : End of Share and Dividend Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3 questions :–

Return to :- ML Aggarwal Solutions for ICSE Class-10

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