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# A Man Invested Rs 45,000 in 15% Rs100shares Quoted at Rs 125. When the Market Value of These Shares Rose to Rs 140, to Raise Rs 8,400. Calculate: (1) the Number of Shares He Still Holds; (2) the - ICSE Class 10 - Mathematics

#### Question

A man invested Rs 45,000 in 15% Rs100shares 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.

#### Solution

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"  4500

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Solution A Man Invested Rs 45,000 in 15% Rs100shares Quoted at Rs 125. When the Market Value of These Shares Rose to Rs 140, to Raise Rs 8,400. Calculate: (1) the Number of Shares He Still Holds; (2) the Concept: Shares and Dividends.
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