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Question
By investing ₹ 11440 in a company paying 10% dividend, an annual income of ₹ 520 is received. What is the market value of each ₹ 50 share?
Sum
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Solution
Given:
Investment = ₹ 11,440
Dividend rate = 10% per annum
Face value of each share = ₹ 50
Step-wise calculation:
1. Let market value of one ₹ 50 share = x (₹).
2. Number of shares bought = `(11440)/x`.
3. Dividend (income) per share
= 10% of ₹ 50
= ₹ 5
4. Total annual income
= `(11440)/x xx 5`
= `(57200)/x`
5. Set total annual income = ₹ 520:
`(57200)/x = 520`
⇒ `x = (57200)/520`
⇒ x = 110
The market value of each ₹ 50 share is ₹ 110.
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