Frank solutions for Mathematics - Part 2 [English] Class 10 ICSE chapter 4 - Shares and Dividends [Latest edition]

Calculate the investment required to buy:

500 shares of Rs 75 each at a premium of Rs 17.

Calculate the investment required to buy:

315 shares of Rs 60 each at a premium of Rs 12.

Calculate the investment required to buy:

600 shares of Rs 25 each at a discount of Rs 3.

Calculate the investment required to buy:

425 shares of Rs 10 each at a discount of Rs 1.50.

Calculate the investment required to buy:

250 shares of Rs 20 each at par.

Calculate the investment required to buy:

150 shares of Rs 100 each at a premium of 12%.

Calculate the investment required to buy:

220 shares of Rs 75 each at a premium of 15%.

Calculate the investment required to buy:

340 shares of Rs 125 each at a discount of 20%.

Calculate the investment required to buy:

750 shares of Rs 100 each at a discount of 24%.

Calculate the investment required to buy:

116 shares of Rs 125 each at par.

Calculate the annual income of the following:

180 shares of Rs 50 each paying 12% dividend.

Calculate the annual income of the following:

424 shares of Rs 125 each paying 8% dividend.

Calculate the annual income of the following:

60 shares of Rs 100 each available at Rs 75 and paying 5% dividend.

Calculate the annual income of the following:

120 shares of Rs 50 each available at Rs 62 and paying 13% dividend.

Calculate the percentage income in the following investment:

Rs 7,225 paying 12% when a Rs 100 share is available at 15% discount.

Calculate the percentage income in the following investment:

Rs 7,168 paying 15% when a Rs 80 share is available at 40% premium.

Calculate the percentage income in the following investments:

Rs 36,250 in a Rs 125 share paying 8% and available at a premium of Rs 20.

Calculate the percentage income in the following investment:

Rs 12,375 in a Rs 75 share paying 4% and available at a discount of Rs 20.

Rani has 500 shares of Rs 125 each of a company paying 12% dividend. Find her net income after paying 5% income tax.

Yash has 1200 shares of Rs 150 each of 'Honeywell Corporation' paying 18% dividend. Find his net income after paying.

Anu has 750 shares of Rs 60 each of 'Tata Infotech' paying 15% dividend. Find her net income after paying 6% income tax.

Mahesh bought 600 shares of Rs 50 each of 'Excel Computers'. He sold one third of them when they were at a premium of Rs 20 and the remaining when they were at a discount of Rs 5. Find his gain or loss in the transaction.

Divya invested Rs 50,000 in buying shares of Rs 125 each of 'Hitech Technologies'. She sold half of them when they were at a premium of 24% and the remaining half when they were at a discount of 20%. Find her gain or loss in the transaction.

Ashutosh invested Rs 58,500 in buying shares of Rs 150 each of 'Van Chemicals', when it was available in the market at a premium of 30%. He sells one third of them at a market rate of Rs 215, one third of them at a market rate of Rs 195 and the rest at Rs 175. Find his loss or gain from the transaction.

Saurav invested 10%, 30% and 40% of his savings in buying shares of 3 different companies A, B and C which declared dividends of 12%, 15% and 16% respectively. If Saurav's total income from dividends is Rs 3,025, find his savings and the amount invested in each company.

Akanksha invested 15%, 25% and 35% of her savings in buying shares of 'Infosys', 'Wipro' and 'Reliance' which declared dividends of 16%, 18% and 20% respectively. If her total income from dividends is Rs 52,125, find her savings and the amount invested in each company.

Tarun invested Rs 24,000 and Rs 30,000 in buying Rs 100 at par shares of 'Vam Organics' and 'Hero Honda' which later declared dividend of 12% and 15% respectively. After collecting the dividends Tarun sold the shares as their prices had fallen by Rs 5 and Rs 10 respectively. Find Tarun's earnings from the above transactions.

Bhavana invested Rs 20,000 and Rs 25,000 in buying shares of 'Bharati Telecom' and 'Satyam Infoways' which later declared dividend of 10% and 12.5% respectively. After collecting the dividends Bhavana sells all her shares at a loss of 4% and 5% respectively on her investments. Find her total earnings.

Karan buys 125 shares of Rs 100 each of 'Reliance Technologies Ltd.' which pays a dividend of 6%. He buys them at such a price that he gets 4% of his money. At what price did Karan buy the share?

Vikram bought 200 shares of Rs 25 each of 'Calcutta Jute Co.' paying 8% of dividend. Vikram bought them at such a price that he gets 10% of his money. At what price did he buy the share?

Archana bought 250 shares of Rs 50 each of 'Indal' paying 12% of dividend. She bought them at such a price that she gets 15% return on her investment. At what share did she buy the shares?

Which among these is a better investment:

12% at 125 or 16% at 150

Which among these is a better investment:

16% at 80 or 18% at 120

Which among these is a better investment:

15% at 80 or 12% at 75

Which among these is a better investment:

18% at 120 or 22% at 150

Which among these is a better investment:

12.5% at 125 or 7.5% at 80

Usha sold 350 shares of Rs 150 each paying 6% dividend at Rs 120 and invested the proceeds in Rs 75 shares at par paying 8% dividend. Calculate the number of Rs 75 shares she bought and the change in her annual income.

Amitesh had 400 shares of Rs 100 each of 'Telco' paying a dividend of 12.5%. He sold them at a market price of Rs 125 and invested the proceeds in Rs 50 shares of 'Adani Motors' available in the market at Rs 80 and paying a dividend of 16%. How many shares of Adani Motors did Amitesh buy and what is the change in his annual income?

Mr Lele sold 250 shares of Rs 75 each of 'IOCL' paying 8% of dividend at Rs 112. He invested the proceeds in buying Rs 125 shares of HPCL paying 8% of dividend available at Rs 140. Calculate the number of shares of HPCL that Mr Lele bought and the change in his annual income.

Rohit had 1000 shares of Rs 125 each of 'New Delhi Times' paying a dividend of 12%. He sold all of them at a market rate of Rs 150 and invested the proceeds in buying Rs 25 shares of BVL available at Rs 60 and paying 20% dividend. How many shares of BVL did Rohit buy and what is the change in his annual income?

Mr Lal wants to give a monthly scholarship of Rs 225 to a poor student. How many 15%, Rs 100 shares of 'Mercantile Co-operative Bank' should he purchase to realize his aim? What will be his investment if the market price of the share is Rs 120?

Gayathri wants to have a monthly income of Rs 500.For this she purchased Rs 75 shares of 'V.G.Electronics' paying 20% dividend. How many shares did Gayathri purchased and what is her investment if the market price of the share is Rs 62.50?

Ramesh had Rs 100 shares of 'Bihar Steel' paying 8% dividend. He sold them at a market price of Rs 130 and invested the proceeds in buying Rs 50 shares of 'Jindal steel' available at Rs 75 and paying 12% dividend. He thus increased the annual income by Rs 360. How many shares did Ramesh sell?

Payal had Rs 125 shares of 'Asian Chemicals' paying 12% dividend. She sold them at Rs 150 and invested the proceeds in Rs 50 shares of 'Saras Chemicals' at Rs 40 and paying 10% dividend. She thus increased her income by Rs 825. Find the number of shares of 'Asian chemicals' that Payal sold.

Ananth had Rs 50 shares of 'Esco' paying 6% dividend. He sold them at a market price of Rs 80 and invested the proceeds in buying Rs 100 shares of 'Y2K Software' at Rs 150 and paying 11% dividend. He thus increased his annual income by Rs 2,150. How many shares of 'Esco' did he sell?

Krithika wants to invest Rs 10,000 in shares of different companies such that the percentage return on her investment is 8%. She invested Rs 4,500 in 6% Rs 100 shares at Rs 75, Rs 2,500 in 8% Rs 100 shares at par and the rest in 16% Rs 100 shares. Find the rate at which she bought the 16% shares.

Pramod wants to invest Rs 35,000 in shares such that the percentage return on his investment is ${\displaystyle 8\frac{1}{7}\%}$. He invested Rs 6,000 in 6 % Rs 50 shares of  'Lakme' at Rs 40, Rs 15,000 in 8 % Rs 100 shares of 'Volta' at Rs 125 and the remaining in 12 %  shares of 'BPL'. At what rate did he buy the 'BPL' shares?