Question

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Answer 1

Question :

A man sold Rs 100 shares at 10% discount and invested in 15% rupee Rs 50 shares at Rs 33 . Had he sold 10 % premium instead of 10% discount he would have earned Rs 450 more .

Answer:

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Step-by-step explanation:

Let the number of shares be n .

We know that number of shares = Investment / market value .

⇒ Investment = number of shares × market value .

Let face value be 100 .

Market value =90% of 100

= 90/100 × 100

= 90

Investment = 90 n .

Now number of shares = 90 n / market value

⇒ number of shares = 90 n / 33

Income = n × r/100 × f

⇒ 50 × 90 n / 33 × 15/100

⇒ 45 n / 33 × 15

If he had sold this in premium :

m = 110 % of 100

= m = 110

number of shares = n

Investment = 110 n

New number of shares = 110 n / 33

Income = n × r × f / 100

⇒ 110 n / 33 × 15/100 × 50

⇒ 110 n / 33 × 15/2

⇒ 10 n / 3 × 15/2

⇒ 25 n

Given :

25 n - 45 n / 33 × 15 = 450

⇒ 25 n - 15 n / 11 × 15 = 450

⇒ 25 n - 225 n / 11 = 450

⇒ ( 275 - 225 n ) / 11 = 450

⇒ 50 n = 450 × 11

⇒ n = 9 × 11

⇒ n = 99

∵ Number of shares = 99 .

Answer 2

ANSWER:----------

Let value be 100

.Market value =90% of 100= 90/100 × 100=

90Investment = 90 n .Now number of shares = 90 n / market value

⇒ number of shares = 90 n / 33Income = n × r/100 × f

⇒ 50 × 90 n / 33 × 15/100

⇒ 45 n / 33 × 15If he had sold this in premium :m = 110 % of

100= m = 110number of shares = nInvestment = 110 nNew number of

shares = 110 n /

33Income = n × r × f / 100

⇒ 110 n / 33 × 15/100 × 50

⇒ 110 n / 33 × 15/2

⇒ 10 n / 3 × 15/2

⇒ 25 nGiven :25 n - 45 n / 33 × 15 = 450

⇒ 25 n - 15 n / 11 × 15 = 450

⇒ 25 n - 225 n / 11 = 450⇒ ( 275 - 225 n ) / 11 = 450

⇒ 50 n = 450 × 11

⇒ n = 9 × 11

⇒ n = 99

hope it helps:------

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