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Mathematics

Each of ₹ 500 shares is available at a discount of ₹ 100. If the dividend on these shares is 8%, the income percent is :

  1. 8%

  2. 15%

  3. 5%

  4. 10%

Shares & Dividends

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Answer

Given,

N.V. of each share = ₹ 500

Discount = ₹ 100

M.V. = N.V. - Discount

= ₹ 500 - ₹ 100 = ₹ 400.

Dividend = 8%

Let income percent be r%.

By formula,

Income percent on M.V. = Dividend on N.V.

Substituting values we get :

r% of 400 = 8% of 500

r100×400=8100×5004r=40r=404=10%.\Rightarrow \dfrac{r}{100} \times 400 = \dfrac{8}{100} \times 500 \\[1em] \Rightarrow 4r = 40 \\[1em] \Rightarrow r = \dfrac{40}{4} = 10\%.

Hence, Option 4 is the correct option.

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