Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Financial Mathematics

Question:

Mr Sharma has 60 shares of nominal value of Rs 100 and he decides to sell them when they are at a premium of 60%. He invests the proceeds in shares of nominal value of Rs 50, quoted at 4% discount, paying 18% dividend annually. Calculate the number of shares he buys.

Options:

150

180

2001

250

Correct Answer:

2001

Explanation:

The correct answer is option (3) : 200

Nominal value of 1 share = ₹100

Mr Sharma sold the shares at 60% premium

S.P of 1 share = $₹100 + ₹60 = ₹160$

∴S.P of 60 shares $=₹160×60= ₹9600$

Market value of ₹50 share $=₹50\left(1-\frac{4}{100}\right)$ $= ₹48$

No. of shares purchased by Mr. Sharma $=\frac{₹9600}{₹48}$ $= 200$