Rohit investedRs.9600 on Rs.100 shares at premium Rs.20 paying 8% dividend. Rohit sold the shares when the price rose to Rs.160. He invested the proceeds (excluding dividend) in 10% Rs. 50 shares at Rs. 40. Find the- i) original number of shares (ii) sale proceeds (iii) the new number of shares (iv) change in two dividends.
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1.the original number of shares=80
2.the sale proceeds=12800 Rupees
3.the new number of shares=320
4.The difference in income=1600-640=960 Rupees
2.the sale proceeds=12800 Rupees
3.the new number of shares=320
4.The difference in income=1600-640=960 Rupees
jyothishah:
Could u please explain in detail thank you
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Rohit invested `9600 on `100 shares at `20 premium paying 8% dividend. Rohit
sold the shares when the price rose to `160. He invested the proceeds (excluding dividend) in 10%
`50 shares at `40. Find the :
(i) original number of shares. (ii) sale proceeds.
(iii) new number of shares. (iv) change in the two dividends. (2015)
Solution. (i) Rohit invested ` 9600 on ` 100 shares at 20% premium paying 8% dividend.
Market value of one share = ` 20
100
1
+ × 100 = ` 120.
∴ The original number of shares purchased = investment
market value of one share
= 9600
120
`
`
= 80.
(ii) Selling price of one share = ` 160,
∴ selling price of 80 shares = ` (160 × 80) = ` 12800.
Hence, Rohit’s sale proceeds = ` 12800.
(iii) Market value of new share = ` 40, investment = ` 12800.
∴ The number of new shares purchased = investment
market value of one share
= 12800
40
`
`
= 320.
(iv) Annual income (dividend) from original shares
= number of shares × rate of dividend × face value of one
share
= 80 × 8
100
× ` 100 = ` 640.
Annual income (dividend) from new shares
= number of shares × rate of dividend × face value of one share
= 320 × 10
100
× ` 50 = ` 1600
∴ Change in two dividends = ` 1600 – ` 640 = ` 960 (increase)
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sold the shares when the price rose to `160. He invested the proceeds (excluding dividend) in 10%
`50 shares at `40. Find the :
(i) original number of shares. (ii) sale proceeds.
(iii) new number of shares. (iv) change in the two dividends. (2015)
Solution. (i) Rohit invested ` 9600 on ` 100 shares at 20% premium paying 8% dividend.
Market value of one share = ` 20
100
1
+ × 100 = ` 120.
∴ The original number of shares purchased = investment
market value of one share
= 9600
120
`
`
= 80.
(ii) Selling price of one share = ` 160,
∴ selling price of 80 shares = ` (160 × 80) = ` 12800.
Hence, Rohit’s sale proceeds = ` 12800.
(iii) Market value of new share = ` 40, investment = ` 12800.
∴ The number of new shares purchased = investment
market value of one share
= 12800
40
`
`
= 320.
(iv) Annual income (dividend) from original shares
= number of shares × rate of dividend × face value of one
share
= 80 × 8
100
× ` 100 = ` 640.
Annual income (dividend) from new shares
= number of shares × rate of dividend × face value of one share
= 320 × 10
100
× ` 50 = ` 1600
∴ Change in two dividends = ` 1600 – ` 640 = ` 960 (increase)
Mark as Brainliest......
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