Mathematics

₹ 2,250 is invested in buying ₹ 50 shares available at 10% discount and the dividend paid by the company is 12%.
Statement (1) : Number of shares bought = $\dfrac{2,250}{45}$ = 50
Statement (2) : Total dividend paid by the company = (12% of ₹ 50) x 50
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.

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Both the statements are true.

Reason

Total investment = ₹ 2,250

Discount on shares = 10%

Dividend rate = 12%

Face value of each share = ₹50

Discounted value = 10% of ₹50

= $\dfrac{10}{100} \times 50$ = ₹ 5

Discounted price = ₹ 50 - 5 = ₹ 45

And, number of shares = $\dfrac{\text{Total Investment}}{\text{Market Value of 1 share}}$

= $\dfrac{2,250}{45}$ = 50

So, statement 1 is true.

The annual dividend = number of shares x rate of dividend x face value of one share

= 50 x 12% x 50

= (12% of ₹ 50) x 50

So, statement 2 is true.

Hence, option 1 is correct.

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