मराठी

Rohit invested Rs. 9,600 on Rs. 100 shares at Rs. 20 premium paying 8% dividend. Rohit sold the shares when the price rose to Rs. 160. - Mathematics

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प्रश्न

Rohit invested Rs. 9,600 on Rs. 100 shares at Rs. 20 premium paying 8% dividend. Rohit sold the shares when the price rose to Rs. 160. He invested the proceeds (excluding dividend) in 10% Rs. 50 shares at Rs. 40. Find the:

  1. original number of shares.
  2. sale proceeds.
  3. new number of shares.
  4. change in the two dividends.
बेरीज

उत्तर

i. 100 shares at Rs. 20 premium means

Nominal value of the share is Rs. 100

And its market value = 100 + 20 = Rs. 120

Number of shares = `"Money Invested"/"Market value of 1 share"`

= `9600/120`

= 80

ii. Each share is sold at Rs. 160

∴ Sale proceeds = 80 × Rs. 160 = Rs. 12,800

iii. Now, investment = Rs. 12,800

Dividend = 10%

Net value = 50

Market value = Rs. 40

∴ Number of shares = `"Investment"/"Market value"`

= `12800/40`

= 320

iv. Now, dividend on 1 share = 10% of N.V = 10% of 50 = 5

`\implies` Dividend on 320 shares = 320 × 5 = 1600

Thus, change in two dividends = 1600 – 640 = 960

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पाठ 3: Shares and Dividend - Exercise 3 (C) [पृष्ठ ३८]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 3 Shares and Dividend
Exercise 3 (C) | Q 19 | पृष्ठ ३८

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