₹100 shares of a company giving 10% dividend are selling at ₹150. Mr. Saha invests ₹ 18,000 to buy these shares. He sells 80% of his shares after one year. Find :

(a) the number of shares he purchased.

(b) the number of shares he sold.

(c) his annual income from the remaining 20% shares he still holds.

(a) Given,

Total investment = ₹ 18,000

Market value = ₹ 150

N.V = ₹ 100

By formula,

⇒ Total investment = Number of shares × Market value of one share

⇒ 18000 = Number of shares × 150

⇒ Number of shares = $\dfrac{18000}{150}$

⇒ Number of shares = 120.

Hence, the number of shares Mr.Saha purchased = 120.

(b) Number of shares sold by Mr Saha = 80% of 120

= $\dfrac{80}{100} \times 120$

= 0.8 × 120

= 96.

Hence, the number of shares Mr.Saha sold = 96.

(c) Number of shares remaining = Total no. of shares - No. of shares sold = 120 - 96 = 24.

By formula,

Annual income = Number of shares × Rate of dividend × N.V. of 1 share

= 24 × $\dfrac{10}{100} \times 100$

= ₹ 240.

Hence, annual income from remaining shares = ₹ 240.