QQuestion
Mr Gupta invested ₹33,000 in buying ₹100 shares of a company at 10% premium. The dividend declared by the company is 12%.
Find:
(a) the number of shares purchased by him.
(b) his annual dividend.
Exam-ready answer • 03 Mark
✓Answer
Money invested = ₹33,000
Nominal value of each share = ₹100
Premium = 10%
Premium on each share = \frac{10}{100} × ₹100
⇒ Premium on each share = ₹10
Market value of each share = Nominal value + Premium
⇒ Market value = ₹100 + ₹10
⇒ Market value = ₹110
(a) Number of shares = Money invested/Market value per share
⇒ Number of shares = \frac{33000}{110}
⇒ Number of shares = 300
(b) Dividend on one share = \frac{12}{100} × ₹100
⇒ Dividend on one share = ₹12
Annual dividend = 300 × ₹12
⇒ Annual dividend = ₹3,600
Therefore, 300 shares were purchased and the annual dividend is ₹3,600.
Related Questions
More ICSE Moderate level questions
A man bought ₹200 shares of a company at 25% premium. He received a return of 5% on his investment. Find:(a) the market value of one share.(b) the dividend percentage declared.(c) the number of shares purchased if the annual dividend is ₹1,000.
A man invested in a company paying 12% dividend on its shares. If the percentage return on his investment is 10%, then the shares are: (a) at par (b) below par (c) above par (d) cannot be determined
The sum invested to purchase 15 shares of nominal value ₹75 each at a discount of 20% is: (a) ₹60 (b) ₹90 (c) ₹1350 (d) ₹900
The letters A, D, M, N, O, S, U and Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter: (a) of the word MONDAY? (b) which does not appear in MONDAY? (c) which appears both in SUNDAY and MONDAY?
Rohan bought the following eatables for his friends: S. No. Item Price Quantity Rate of GST 1 Laddu ₹500 per kg 2 kg 5% 2 Pastries ₹100 per piece 12 pieces 18% Calculate: (a) the total GST paid. (b) the total bill amount including GST.
The figure shows a circle of radius 9 cm with O as the centre. The diameter AB produced meets the tangent PQ at P. If PA = 24 cm, find the length of tangent PQ.
The polynomial 3x³ + 8x² − 15x + k has (x − 1) as a factor. Find the value of k. Hence, factorize the resulting polynomial completely.
The nth term of an Arithmetic Progression (A.P.) is given by the relation Tn = 6(7 − n). Find: (a) its first term and common difference. (b) the sum of its first 25 terms.
The following table gives the duration of movies in minutes: Duration (minutes) Number of movies 100–110 5 110–120 10 120–130 17 130–140 8 140–150 6 150–160 4 Using the step-deviation method, find the mean duration of the movies.
Factorize: sin³ θ + cos³ θ. Hence, prove the identity:
(a) If the lines kx − y + 4 = 0 and 2y = 6x + 7 are perpendicular to each other, find the value of k. (b) Find the equation of a line parallel to 2y = 6x + 7 and passing through (−1, 1).
Solve the following quadratic equation for x and give your answers correct to three significant figures: 2x² − 10x + 5 = 0
Small steps build strong concepts.