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?
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.
(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).
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.
Solve the following quadratic equation for x and give your answers correct to three significant figures: 2x² − 10x + 5 = 0
Suresh has a recurring deposit account in a bank. He deposits ₹2000 per month and the bank pays interest at the rate of 8% per annum. If he gets ₹1040 as interest at the time of maturity, find in years the total time for which the account was held.
Small steps build strong concepts.