A man owns 2/3 of the market research beuaro business and sells 3/4 of his…

2024

A man owns 2/3 of the market research beuaro business and sells 3/4 of his shares for Rs.75000. what is the value of business ?

  1. A.

    120000

  2. B.

    150000

  3. C.

    140000

  4. D.

    160000

Attempted by 63 students.

Show answer & explanation

Correct answer: B

Solution: Let x be the total value of the business.

The owner holds 2/3 of the business, and sells 3/4 of his shares.

Fraction sold = (2/3) × (3/4) = 1/2 of the total business.

The value sold is (1/2) x, and this equals Rs.75,000.

So (1/2) x = 75000 ⇒ x = 75000 × 2 = 150000.

  • Check: Half of Rs.150000 is Rs.75000, which matches the given sold amount.

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