Partnership Quiz: Quantitative Aptitude Practice

Spoilers! These are the Starter quiz’s answers. Easy, Medium, Hard and Mixed rounds show their own answers when you finish.

1. A and B invest Rs 40,000 and Rs 60,000 respectively for a year. The profit is Rs 15,000. What is B's share?

   • Rs 6,000
   • Rs 7,500
   • Rs 9,000
   • Rs 10,000

   Answer: Rs 9,000. Equal time, so share in the capital ratio 2:3. B gets 3/5 of 15,000 = Rs 9,000.

2. A invests Rs 30,000 for 12 months and B invests Rs 45,000 for 8 months. In what ratio should the profit be shared?

   • 2:3
   • 3:2
   • 3:4
   • 1:1

   Answer: 1:1. Capital × time: 30 × 12 = 360 and 45 × 8 = 360, so the ratio is 1:1.

3. A starts a business with Rs 50,000. B joins after 3 months with Rs 60,000. At the end of the year the profit is Rs 38,000. What is B's share?

   • Rs 18,000
   • Rs 20,000
   • Rs 19,000
   • Rs 16,000

   Answer: Rs 18,000. A: 50 × 12 = 600; B: 60 × 9 = 540. Ratio 10:9, so B gets 9/19 of 38,000 = Rs 18,000.

4. A, B and C invest capitals in the ratio 2:3:5 for periods in the ratio 4:3:2. The total profit is Rs 54,000. What is C's share?

   • Rs 18,000
   • Rs 16,000
   • Rs 20,000
   • Rs 27,000

   Answer: Rs 20,000. Profit ratio = 2 × 4 : 3 × 3 : 5 × 2 = 8:9:10. C gets 10/27 of 54,000 = Rs 20,000.

5. A and B invest in the ratio 3:2. A, the working partner, first receives 10% of the profit for managing the business. If the total profit is Rs 50,000, how much does A receive in all?

   • Rs 32,000
   • Rs 30,000
   • Rs 27,000
   • Rs 35,000

   Answer: Rs 32,000. A first gets Rs 5,000. The remaining Rs 45,000 is split 3:2, giving A Rs 27,000. Total = Rs 32,000.

6. A and B invest capitals in the ratio 5:7 and share profits in the ratio 10:21. If A's money was invested for 6 months, for how long was B's money invested?

   • 8 months
   • 12 months
   • 10 months
   • 9 months

   Answer: 9 months. Time ratio = (10/5):(21/7) = 2:3. A for 6 months means B for 9 months.

7. A invests Rs 24,000 and withdraws Rs 8,000 after 6 months. B invests Rs 30,000 for the whole year. Out of a profit of Rs 25,000, what is A's share?

   • Rs 12,000
   • Rs 10,000
   • Rs 9,600
   • Rs 15,000

   Answer: Rs 10,000. A: 24 × 6 + 16 × 6 = 240; B: 30 × 12 = 360. Ratio 2:3, so A gets 2/5 of 25,000 = Rs 10,000.

8. A puts 10 oxen to graze for 7 months, B 12 oxen for 5 months and C 15 oxen for 3 months. The rent of the pasture is Rs 1,750. How much should C pay?

   • Rs 525
   • Rs 450
   • Rs 600
   • Rs 375

   Answer: Rs 450. Oxen × months: 70:60:45 = 14:12:9. C pays 9/35 of 1,750 = Rs 450.

9. A and B start a business with capitals in the ratio 4:5. After 3 months A withdraws one-fourth of his capital. The year's profit is Rs 66,000. What is B's share?

   • Rs 36,000
   • Rs 26,000
   • Rs 33,000
   • Rs 40,000

   Answer: Rs 40,000. A: 4 × 3 + 3 × 9 = 39; B: 5 × 12 = 60. Ratio 13:20, so B gets 20/33 of 66,000 = Rs 40,000.

10. A invests three times as much as B, but B keeps his money in the business for twice as long as A. Out of a profit of Rs 15,000, what is B's share?

    • Rs 6,000
    • Rs 9,000
    • Rs 5,000
    • Rs 7,500

    Answer: Rs 6,000. A: 3c × t; B: c × 2t. Ratio 3:2, so B gets 2/5 of 15,000 = Rs 6,000.