Multiple choice

Gopal, Vishal and Subodh started a business together. Vishal invested Rs. 20,000 more than Gopal did and Subodh invested Rs. 62,000 more than Vishal did. The total amount they invested in the business was Rs. 3,60,000. If the profit at the end of the year amounted to Rs. 1,35,000, then the shares (in Rs.) of Gopal, Vishal and Subodh, respectively, were

  1. 34,200; 63,000 and 37,800

  2. 32,250; 68,500 and 34,250

  3. 63,000; 32,250 and 39,750

  4. 32,250; 39,750 and 63,000

  5. 32,250; 38,750 and 64,000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Gopal's investment be x. Vishal = x + 20000. Subodh = x + 20000 + 62000 = x + 82000. Total = 3x + 102000 = 360000. 3x = 258000, x = 86000. Investments: Gopal 86000, Vishal 106000, Subodh 168000. Ratio = 86:106:168 = 43:53:84. Profit share calculation matches option D.

AI explanation

Let Gopal's investment be x; then Vishal's is x + 20000 and Subodh's is x + 82000. The sum of their investments is x + x + 20000 + x + 82000 = 360000, which gives 3x = 258000, so x = 86000. Their investments are 86000, 106000, and 168000, giving a profit sharing ratio of 43 : 53 : 84. Multiplying the total profit of 135000 by these fractions yields shares of 32250 for Gopal, 39750 for Vishal, and 63000 for Subodh.

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