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Mr. Dinesh invests Rs. 20800 in 6% Rs. 100 shares at Rs. 104, and Rs. 14300 in 10.5% Rs. 100 shares at Rs.143. What will be his annual income from the shares? - Mathematics and Statistics

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Question

Mr. Dinesh invests Rs. 20800 in 6% Rs. 100 shares at Rs. 104, and Rs. 14300 in 10.5% Rs. 100 shares at Rs.143. What will be his annual income from the shares?

Sum
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Solution

For 1st kind of shares,

Face value of shares (F.V.) = ₹ 100

Dividend = 6%

∴ Annual income from one share = `6/100 xx 100`

= ₹ 6

Market value of the share (M.V.) = ₹ 104

Total amount invested = ₹ 20,800

∴ Number of shares = `"Amount invested"/"Market value"`

= `(20,800)/104`

= 200

∴ Total income from 1st kind of shares = 200 × 6

= ₹ 1200

For 2nd kind of shares,

Face value of shares (F.V.) = ₹ 100

Dividend = 10.5%

∴ Annual income from one share = `10.5/100 × 100`

= ₹ 10.5

Market value of the share (M.V.) = ₹ 143

Total amount invested = ₹ 14300

∴ Number of shares = `"Amount invested"/"Market value"`

= `14300/143`

= 100

∴ Total income from 2nd kind of shares

= 100 × 10.5 = ₹ 1050

∴ Total annual income of Dinesh from both these shares = 1200 + 1050

= ₹ 2250

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Chapter 9: Commercial Mathematics - Exercise 9.7 [Page 142]

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