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Sundar bought ₹ 4,500, 12% of ₹ 10 shares at par. He sold them when the price rose to ₹ 23 and invested the proceeds in ₹ 25 shares paying 10% per annum at ₹ 18. Find the change in his income. - Business Mathematics and Statistics

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प्रश्न

Sundar bought ₹ 4,500, 12% of ₹ 10 shares at par. He sold them when the price rose to ₹ 23 and invested the proceeds in ₹ 25 shares paying 10% per annum at ₹ 18. Find the change in his income.

बेरीज

उत्तर

Number of shares = `4500/10` = 450

Income from 12% stock = Number of shares × face value × Rate of dividend

= 450 × 10 × `12/100`

= ₹ 540

Selling price of 450 shares = 450 × 23 = ₹ 10,350

Number of shares bought in 10% stock = `("Selling price of 450 shares at ₹ 23")/("Market value")`

= `10350/18`

= ₹ 575

Income, from 10% stock = No of shares × face value × Rate of dividend

= 575 × 25 × 10100

= 575 × 104

= ₹ 1437.5

= ₹ 1437.50

Charge in his income = ₹ 1437.50 – ₹ 540 = ₹ 897.50

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पाठ 7: Financial Mathematics - Exercise 7.2 [पृष्ठ १७१]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 7 Financial Mathematics
Exercise 7.2 | Q 6 | पृष्ठ १७१

संबंधित प्रश्‍न

Find the market value of 62 shares available at ₹ 132 having the par value of ₹ 100.


A man invests ₹ 13,500 partly in 6% of ₹ 100 shares at ₹ 140 and the remaining in 5% of ₹ 100 shares at ₹ 125. If his total income is ₹ 560, how much has he invested in each?


Babu sold some ₹ 100 shares at 10% discount and invested his sales proceeds in 15% of ₹ 50 shares at ₹ 33. Had he sold his shares at 10% premium instead of 10% discount, he would have earned ₹ 450 more. Find the number of shares sold by him.


Which is better investment? 7% of ₹ 100 shares at ₹ 120 (or) 8% of ₹ 100 shares at ₹ 135.


A man purchases a stock of ₹ 20,000 of face value ₹ 100 at a premium of 20%, then investment is ___________.


If a man received a total dividend of ₹ 25,000 at 10% dividend rate on a stock of face value ₹ 100, then the number of shares purchased.


Purchasing price of one share of face value ₹ 100 available at a discount of `9 1/2%` with brokerage `1/2%` is ____________.


A invested some money in 10% stock at ₹ 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of ____________.


Vijay wants to invest ₹ 27,000 in buying shares. The shares of the following companies are available to him. ₹ 100 shares of company A at par value; ₹ 100 shares of company B at a premium of ₹ 25; ₹ 100 shares of company C at a discount of ₹ 10; ₹ 50 shares of company D at a premium of 20%. Find how many shares will he get if he buys shares of

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  2. Company B
  3. Company C
  4. Company D

Gopal invested ₹ 8,000 in 7% of ₹ 100 shares at ₹ 80. After a year he sold these shares at ₹ 75 each and invested the proceeds (including his dividend) in 18% for ₹ 25 shares at ₹ 41. Find

  1. his dividend for the first year
  2. his annual income in the second year
  3. The percentage increase in his return on his original investment

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