Question

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

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

Hint:

To find the total value when a fraction of it is given, multiply the known value by the reciprocal of the fraction.

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. 75000, which is half of the total value of the business. So, the total value of the business is: \[ 2 \times 75000 = 150000. \]