Question

A man owns \(\frac{2}{3}\) of the market research beauro business and sells \(\frac{3}{4}\) of his shares for Rs. 75000. What is the value of Business?

• A. \(\frac{55}{3}\)
• B. 150000
• C. 180000
• D. 160000

Answer 1

The Correct Option is B

Step 1: The man sells \(\frac{3}{4}\) of \(\frac{2}{3}\) of the business. So, the total portion of the business he sold is: 

\[ \frac{3}{4} \times \frac{2}{3} = \frac{1}{2} \]

Step 2: The value of the portion sold is Rs. 75,000, which is half of the total value of the business. So, the total value of the business is:

\[ 2 \times 75000 = 150000 \]