7. Mahesh bought $500$ shares of Rs $50$ each of ‘Excel Computers’. He sold one third of them when they were at a premium of Rs $20$ and the remaining when they were at a discount of Rs $5$. Find his gain or loss in the transaction.

Home » 7. Mahesh bought shares of Rs each of ‘Excel Computers’. He sold one third of them when they were at a premium of Rs and the remaining when they were at a discount of Rs . Find his gain or loss in the transaction.

7. Mahesh bought $500$ shares of Rs $50$ each of ‘Excel Computers’. He sold one third of them when they were at a premium of Rs $20$ and the remaining when they were at a discount of Rs $5$ . Find his gain or loss in the transaction.

Class 10 | Frank | ICSE | Maths | Shares and Dividends

7. Mahesh bought $500$ shares of Rs $50$ each of ‘Excel Computers’. He sold one third of them when they were at a premium of Rs $20$ and the remaining when they were at a discount of Rs $5$ . Find his gain or loss in the transaction.

From the question it is given that,

Number of shares $= 500$

Then, nominal value of each share $= ₹ 50$

So, investment by Mahesh = ₹ $(50 × 500)$

= ₹ $25,000$

Mahesh sold shares at premium $= (1/3) × 500$

$= 166.5$

Market value of a share with premium $= ₹(50+20) = ₹70$

Then, value of $200$ shares $= ₹(70 ×166.5)$

$= ₹11,655$

Shares sold at discount $= 500 - 166.5=₹333.5$

Then, market value of a share with discount $=₹50 - ₹5=₹45$

Value of $333.5$ shares $=₹(45 × 333.5)$

$=₹15007.5$

By adding value of $166.5$ shares and value of $333.54$ shares we get the total money received by selling his shares,

$= 14,000+15007.5$

$= ₹ 29007.5$

Difference in selling price and cost price $=₹( 29007.5 - 30,000)$

$=₹992.5$

Therefore, Mahesh gained $₹992.5$

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