How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an annual income of Rs. 900, if the dividend declared is 15% ?

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DSSSB Pharmacist 2014: Previous Year Paper
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  1. Rs. 7,000
  2. Rs. 7,500
  3. Rs. 7,100
  4. Rs. 7,200

Answer (Detailed Solution Below)

Option 4 : Rs. 7,200

Detailed Solution

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Given:

A man needs to invest in Rs. 50 shares selling at Rs. 60 to obtain an annual income of Rs. 900, with a dividend declared at 15%.

Formula used:

Dividend = (Dividend Rate × Face Value of Share)/100

Calculation:

The dividend per share = (15% of Rs. 50)

= (15/100) × 50

= Rs. 7.5 per share

To obtain an annual income of Rs. 900:

Number of shares required = Total annual income / Dividend per share

= 900 / 7.5

= 120 shares

Since the shares are selling at Rs. 60 each:

Investment required = Number of shares × Market Price per share

= 120 × 60

= Rs. 7200

Therefore, the man should invest Rs. 7200.

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