# Share and Dividend Ch-Test Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3

Share and Dividend Ch-Test Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3. Step by step solutions of Chapter Test 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 Ch-Test Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3

 Board ICSE Class 10 Subject Mathematics Chapter-3 Share and Dividend Topics Solution of Ch-Test Questions Edition 2024-2025

### Solution of Ch-Test Questions

Share and Dividend Ch-Test Class 10 ML Aggarwal Solutions for ICSE Maths Ch-3

#### Que-1: …. … …

Sol:  Income on one share = 9/100 x 20

= Rs. 9/5

Therefore, no. of shares = 1080 x 5/9

= 120 x 5

= 600

#### Que-2: …. … …

Sol: Dividend on one share = 18% of Rs. 10

= (18 x 10)/100

= Rs. 9/5

Income on Rs. 12 = 9/5

Then, the income of Rs. 100

= (9/5) x (100/12)

= 15

#### Que-3: …. … …

Sol:  investment = Rs. 10000

FV of each share = Rs. 100

Rate of dividend = 10%

and Annual dividend = Rs. 800

(i) Market value = (10000 x 10)/ 800

= Rs. 125

(ii) Rate percent on investment

= (800 x 100)/ 10000

= 8%

#### Que-4: …. … …

Sol: If interest is 6, then investment = Rs. 100

and if interest is 9, then investment

= Rs. (100 x 9)/ 6

= Rs. 150

#### Que-5: …. … …

Sol:  rate of dividend = 2.5%

And market price = Rs 92

Let the number of shares purchased = x

Therefore  MV of x shares = 92 x

Income from investing

Rs. x = (92x x 2.5)/ 92

= (92x x 25)/ (92 x 10) = (5/2) x

Again by investing 92x in 5% at Rs. 115 the dividend = (92x x 5)/ 115 = 4x

Difference = 4x – (5/2) x = 3/2 x

3/2 x = 90

x = (90 x 2)/ 3

= 60

(i) therefore, the number of shares = 60

(ii) Number of shares sold = 92x/115

= (92 x 60)/ 115

= 48

(iii) New income = 4x = 4 x 60

= Rs. 240

(iv) Rate percent interest on investment = (5 x 100)/ 115

= 100/ 23

= 4 (8/23)%

#### Que-6: …. … …

Sol:  Let’s  no. of shares =  x

Nominal Value of x shares = x × 100 = 100x

And dividend = (100x × 6)/100 = Rs. 6x

Dividend on half-shares = Rs. 6x/2 = Rs. 3x

Now, the no. shares he sold out = x/2

Amount received at 10% discount = x/2 × 90 = Rs. 45x

In investing Rs. 45x, no. of shares he purchased = 45x/60

Thus, the amount of shares = 45x/60 × 50 = Rs. 225x/6

Income at rate of 7% = 255x/6 × 7/100 = 21x/8

Difference in income = 3x – 21x/8 = 3x/8

According to the given conditions, we have

3x/8 = 120

x = (120 × 8)/3

x = 320

Hence,

(i) The number of shares he held initially = 320

(ii) No. of shares he held later = 320/2 = 160

(iii) Amount of income initially = 320 × 6 = Rs. 1920

#### Que-7: …. … …

Sol:  Given, Total investment = Rs. 101520

Let investment in the first part =  x

Therefore the second part = (101520 – x)

The market value of the first kind of shares = Rs. 100 – Rs. 8

= Rs. 92

And rate of dividend = 8%

So, dividend = (x × 8)/92 = Rs. 2x/23

Now, market value of second kind = (101520 – x)

Rate of dividend = 9%

And market value = Rs. (100 + 8)/100 × 50

= Rs. (108/100) × 50

= Rs. 54

So, dividend = Rs. (101520 – x) × 9/(2 × 54)

= Rs. (101520 – x)/12

According to the given problem, we have

2x/23 = (101520 – x)/12

24x = 23 (101520 – x)

24x = 101520 × 23 – 23x

47x = 101520 × 23

x = Rs. (101520 × 23)/ 47

= Rs. 49680

Hence, the investment of the first part = Rs. 49680

And in second part = Rs. (101520 – 49680) = Rs. 51840

#### Que-8: …. … …

Sol:   Face value of each share = Rs. 40

Dividend = 10%

and Gain on investment = 10%

So, the dividend on Rs. 40 = (40 x 10)/100 = Rs. 4

Now, Rs. 16 is interest on the market value = Rs. 100

Hence, Market value if interest is Rs. 4 = (100 x 4)/16

= Rs. 25

#### Que-9: …. … …

Sol:   Here Investment in 3 companies A, B and C are 20%, 30% and 25% are given

Let the total investment =  Rs. 100

So, the investment in company A = Rs. 20

Rate of dividend = 10%

Thus, dividend = Rs. (20 x 10)/100 = Rs. 2

Now Investment in company B = Rs. 30

Rate of dividend = 12%

Thus, dividend = Rs. (30 x 12)/100 = Rs. 36/10 = Rs. 3.6

And, investment in company C = Rs. 25

Rate of dividend = 25%

Thus, dividend = Rs. (25 x 15)/100 = Rs. 375/100 = Rs. 3.75

Now

Total dividend = Rs. 2 + Rs. 3.60 + Rs 3.75

= Rs. 9.35

When the dividend is Rs 9.35, then total savings = Rs. 100

Then, if the dividend is Rs. 4675, the total savings

= (4675 x 100)/9.35

= (4675 x 100 x 100)/935

= Rs. 50000

Hence,

investment in company A = Rs. 50000 x (20/100) = Rs. 10000

investment in company B = Rs. 50000 x (30/100) = Rs. 15000

and investment in company C = Rs. 50000 x (25/100) = Rs. 12500

#### Que-10: …. … …

Sol:   first case,  Investment made by Virat = ₹ 36000

And market value at a discount of 20% = ₹ 40 x (80/100) = ₹ 32

Thus, total face value = ₹ (36000 x 40)/32 = ₹ 45000

Rate of dividend = 15%

Thus, total dividend = ₹ (45000 x 15)/100 = ₹ 6750

in  second case, Investment = ₹ 36000

Dividend of Dhoni = ₹ 6750

Face value of each share = ₹ 75

And market value at premium of 20% = ₹ 75 x (120/100) = ₹ 90

Face value = 36000 x (75/90) = 30000

Thus, rate of dividend = (6750 x 100)/30000 %

= 45/2 % = 22.5%

— : End of Share and Dividend Class 10 ML Aggarwal Solutions : —