Multiple choice

X and Y start a business by investing Rs. 8000 and Rs. 10,000. X is the working partner and Y is the sleeping partner. X gets 19% of the profit for managing, the rest being divided in proportion of their capitals out of a total profit of Rs. 10,000. The amount received by Y is

  1. Rs. 4500

  2. Rs. 4000

  3. Rs. 5000

  4. Rs. 6000

  5. Rs. 7000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X gets 19% of 10000 = 1900. Remaining profit = 8100. Ratio of capital = 8000:10000 = 4:5. Y's share = (5/9) * 8100 = 5 * 900 = 4500.

AI explanation

X first takes 19% of the total Rs. 10,000 profit for managing, which is Rs. 1,900, leaving a remaining profit of Rs. 8,100. This remaining amount is divided in their capital ratio of 8000 to 10,000, which simplifies to 4 to 5. The total of 9 parts equals Rs. 8,100, so one part is Rs. 900. Y receives 5 parts of the remaining profit, so 5 multiplied by 900 equals Rs. 4,500. The correct answer is Rs. 4500.

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