A man has some shares of rs 100 par value paying 6% dividend.he sells half of these at a discount of 10% and invests the proceeds in 7% rs 50 shares at a premium of rs 10.this transaction decreases his income from dividends by rs 120. calculate 1. the number of shares before the transaction. 2. the number of shares he sold. 3. his initial annual income from shares.
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Let the number of shares is x
Nominal value =₹100
Div% is 6%
annual income = x×100×6/100
6x
Annual income of half shares X/2 =3x
Selling price = at a discount of 10%
So X/2 ×90 = 45x
Investment is 45x
Shares = 3/4x d%= 7%. NV = ₹50
MV = ₹60
AI = 3/4x × 7/100 ×50
21/8x
Change in income 3x-21/8x=₹120
1 X=shares = 320
2. Shares sold. 160
3. Initial income. 6×320= 1920
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