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A man invested Rs. 45,000 in 15% Rs. 100 shares quoted at Rs. 125. When the market value of these shares rose to Rs. 140, he sold some shares, just enough to raise Rs. 8,400 - Mathematics

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प्रश्न

A man invested Rs. 45,000 in 15% Rs. 100 shares quoted at Rs. 125. When the market value of these shares rose to Rs. 140, he sold some shares, just enough to raise Rs. 8,400. Calculate:

  1. the number of shares he still holds;
  2. the dividend due to him on these remaining shares.
योग
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उत्तर

1. Total investment = Rs. 45,000

Market value of 1 share = Rs. 125

∴ No of shares purchased = `45000/125` = 360 shares

Nominal value of 360 shares = Rs. 100 × 360 = Rs. 36,000

Let no. of shares sold = n

Then sale price of 1 share = Rs. 140

Total sale price of n shares = Rs. 8,400

Then n = `8400/140` = 60 shares

The no. of shares he still holds = 360 – 60 = 300

2. Nominal value of 300 shares = Rs. 100 × 300 = Rs. 30,000

Dividend% = 15%

Dividend = 15% of Rs. 30,000

= `15/100 xx 30000`

= Rs. 4,500

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