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A man has a choice to invest in hundred-rupee shares of two firms at Rs. 120 or at Rs. 132. The first firm pays a dividend of 5% per annum and the second firm pays a dividend of 6% per annum - Mathematics

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प्रश्न

A man has a choice to invest in hundred-rupee shares of two firms at Rs. 120 or at Rs. 132. The first firm pays a dividend of 5% per annum and the second firm pays a dividend of 6% per annum. Find:

  1. which company is giving a better return.
  2. if a man invests Rs. 26,400 with each firm, how much will be the difference between the annual returns from the two firms.
योग

उत्तर

i. 1st firm:

Market value of 1 share = Rs. 120

Nominal value of 1 share = Rs. 100

Dividend = 5%

Income on Rs. 120 = 5% of Rs. 100 = Rs. 5

Income on Rs. 1 = `5/120` = Rs. 0.041

2nd firm:

Market value of 1 share = Rs. 132

Nominal value of 1 share = Rs. 100

Dividend = 6%

Income on Rs. 132 = 6% of Rs. 100 = Rs. 6

Income on Rs. 1 = `6/132` = Rs. 0.045

Then investment in second company is giving better return.

ii. Income on investment of Rs. 26,400 in first firm

= `5/120 xx 26400`

= Rs. 1,100

Income on investment of Rs. 26,400 in second firm

= `6/132 xx 26400`

= Rs. 1,200

∴ Difference between both returns

= Rs. 1,200 – Rs. 1,100

= Rs. 100

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अध्याय 3: Shares and Dividend - Exercise 3 (B) [पृष्ठ ३७]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 3 Shares and Dividend
Exercise 3 (B) | Q 16 | पृष्ठ ३७

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