Question

Any Maths Experts could help?

A man invested ₹45000 in 15% ₹100 shares quoted at ₹125. When the market value of these shares rose to ₹140, he sold some shares, just enough to raise ₹8400. Calculate:
(1) the number of shares he still holds.
(ii) the dividend due to him on these shares
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Answer 1

Answer: The dividend is due to him is Rs. 4500.

Step-by-step explanation:

Since we have given that

Amount invested = Rs. 45000

Cost of share = Rs. 125

So, Number of shares purchased is given by

$\dfrac{45000}{125}=360$

Amount get = Rs. 8400

Cost of share = Rs. 140

So, Number of share sold is given by

$\begin{gathered}\dfrac{8400}{140}\\\\=60\end{gathered}$

Number of shares left = 360 - 60 = 300

Dividend due to him on remaining shares is given by

$\begin{gathered}300\times \dfrac{15}{100}\times 100\\\\=Rs.\ 4500\end{gathered}$

Hence, the dividend is due to him is Rs. 4500.

Answer 2

According to the question :-

• Investment = ₹45000
• Price of 1 share = ₹125

Hence the number of shares which can be bought with ₹45000 will be :-

$\dfrac{4500}{125}$

Reducing to the lowest terms,

$= 360$

• He sold a few shares to raise ₹8400.
• Let the number of shares sold be x.
• Price of 1 share sold = ₹140

Therefore number of shares sold such that it he raises ₹8400 will be :-

$\dfrac{8400}{140}$

Reducing to the lowest terms,$= 60$

• Initially he had 360 shares, but sold 60 of them later.
• Number of shares left/he still holds = 360 - 60 =≥ 300 shares

The value of 300 shares now will be :-

300 × 100

=≥ ₹30000

Dividend due will be calculated on this amount.

• Dividend % = 15%

Hence the dividend will be :-

$15\% \: of \: 30000$

$\dfrac{15}{100} \times 30000$

Reducing to the lowest terms,

Dividend = ₹4500.