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A man invests a certain sum in buying 15% Rs. 100 shares at 20% premium. Find: his income from one share. the number of shares bought to have an income, from the dividend, Rs. 6480. sum invested. - Mathematics

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Question

A man invests a certain sum in buying 15% Rs. 100 shares at 20% premium. Find:

  1. his income from one share.
  2. the number of shares bought to have an income, from the dividend, Rs. 6480.
  3. sum invested.
Sum

Solution

i. The dividend on one share = 15% of Rs. 100

= Rs. `(15/100 xx 100)`

= Rs. 15

So, the income from one share is Rs. 15.

ii. Number of shares bought by the man

= `"Annual income"/"Dividend on one share"`

= `6480/15`

= Rs. 432

iii. Since the man bought shares of Rs. 100 at 20% premium, the market value of one share

= Rs. `(1 + 20/100) xx 100`

= Rs. `(120/100 xx 100)`

= Rs. 120

∴ His total investment = Number of shares × Market value of one share

= 432 × 120

= Rs. 51,840

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Chapter 3: Shares and Dividend - Exercise 3 (C) [Page 37]

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Selina Mathematics [English] Class 10 ICSE
Chapter 3 Shares and Dividend
Exercise 3 (C) | Q 3 | Page 37

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