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