Partnership questions with solutions

1. Question 1Easy

   A invests Rs 3000 for 6 months and B invests Rs 9000 for 9 months. If the total profit is Rs 220, find A's share.

   • A.50
   • B.38
   • C.30
   • D.42
   • E.40Correct
   Show solution

   Capital×time is 18000 for A and 81000 for B. A's share = 220 × 18000/99000 = 40.

2. Question 2Easy

   A invests Rs 6000 for 8 months and B invests Rs 4000 for 9 months. If the total profit is Rs 140, find A's share.

   • A.94
   • B.76
   • C.66
   • D.80Correct
   • E.84
   Show solution

   Capital×time is 48000 for A and 36000 for B. A's share = 140 × 48000/84000 = 80.

3. Question 3Easy

   A invests Rs 4000 for 8 months and B invests Rs 8000 for 12 months. If the total profit is Rs 120, find A's share.

   • A.30Correct
   • B.14
   • C.26
   • D.46
   • E.34
   Show solution

   Capital×time is 32000 for A and 96000 for B. A's share = 120 × 32000/128000 = 30.

4. Question 4Easy

   A invests Rs 5000 for 12 months and B invests Rs 8000 for 12 months. If the total profit is Rs 260, find A's share.

   • A.140
   • B.100Correct
   • C.60
   • D.115
   • E.85
   Show solution

   Capital×time is 60000 for A and 96000 for B. A's share = 260 × 60000/156000 = 100.

5. Question 5Easy

   A invests Rs 6000 for 6 months and B invests Rs 9000 for 6 months. If the total profit is Rs 100, find A's share.

   • A.40Correct
   • B.24
   • C.30
   • D.56
   • E.50
   Show solution

   Capital×time is 36000 for A and 54000 for B. A's share = 100 × 36000/90000 = 40.

6. Question 6Moderate

   A and B invest in a business in the ratio 3 : 2. If the total profit is Rs 5000, find A’s share.

   • A.3500
   • B.3000Correct
   • C.2500
   • D.2000
   Show solution

   A has 3 of the 5 parts, so A’s share is 5000 × 3/5 = 3000.

7. Question 7Moderate

   A invests Rs 24000 and B invests Rs 36000 in a business for the same period. If the annual profit is Rs 15000, what is B's share?

   • A.Rs 6000
   • B.Rs 7500
   • C.Rs 9000Correct
   • D.Rs 10000
   • E.Rs 12000
   Show solution

   For equal periods, profit is shared in the ratio of investments, 24000 : 36000, which reduces to 2 : 3. B's share is 3 of 5 parts: 15000 x 3 / 5 = 9000. Reducing the ratio before splitting keeps the arithmetic simple.

8. Question 8Moderate

   A invests Rs 6000 for 8 months and B invests Rs 8000 for 6 months. If the total profit is Rs 80, find A's share.

   • A.24
   • B.56
   • C.54
   • D.40Correct
   • E.26
   Show solution

   Capital×time is 48000 for A and 48000 for B. A's share = 80 × 48000/96000 = 40.

9. Question 9Moderate

   A invests Rs 3000 for 6 months and B invests Rs 4000 for 9 months. If the total profit is Rs 60, find A's share.

   • A.8
   • B.16
   • C.32
   • D.24
   • E.20Correct
   Show solution

   Capital×time is 18000 for A and 36000 for B. A's share = 60 × 18000/54000 = 20.

10. Question 10Moderate

    A and B invest Rs 12,000 and Rs 18,000 for the same period. If the total profit is Rs 2,500, find B's share (in Rs).

    • A.1500Correct
    • B.1000
    • C.1250
    • D.1800
    • E.1600
    Show solution

    For an equal period the profit splits in the ratio of the capitals, 12000 : 18000 = 2 : 3. B's share is 2500 x 18000 / (12000 + 18000) = 1500.

11. Question 11Moderate

    A invests Rs 6000 for 8 months and B invests Rs 6000 for 6 months. If the total profit is Rs 350, find A's share.

    • A.260
    • B.130
    • C.200Correct
    • D.140
    • E.270
    Show solution

    Capital×time is 48000 for A and 36000 for B. A's share = 350 × 48000/84000 = 200.

12. Question 12Moderate

    A and B invest Rs 4000 and Rs 6000 respectively in a business. If the total profit is Rs 2500, find B’s share.

    • A.1500Correct
    • B.1600
    • C.1000
    • D.1200
    Show solution

    With equal time, profit splits as the investment ratio 4000 : 6000 = 2 : 3. B’s share is 2500 × 3/5 = 1500.

These are 12 of 29 partnership questions in the bank. Attempt the rest with instant feedback in the practice drills, or under a clock in the mock tests.