Quantitative Aptitude

Partnership

842 Questions
All Capital changes, admission, and withdrawal 249 Compound partnership and time-weighted capital 186 Absolute profit or percentage difference to ratio 126 Simple partnership 100 Working and sleeping partners 79 Retirement and gaining ratio 63 Interest on capital and fixed allowances 39

Partnership Questions

Multiple choice

A, B and C started a business each investing Rs 10000. After 4 months A withdraws Rs 3000, B withdraws Rs 4000, C invest Rs 3000 more at the end of the years, a total profit was Rs 32800. Find the share of C.

  1. 12456

  2. 14400

  3. 12581

  4. 13266
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Calculate investment ratios: A invests 10000 for 4 months, then 7000 for 8 months = 96000. B invests 10000 for 4 months, then 6000 for 8 months = 88000. C invests 10000 for 8 months, then adds 3000 for remaining 4 months = 10000×8 + 13000×4 = 132000. Total ratio units = 304000. C's share = (132000/304000) × 32800 = Rs. 14400. Option B is correct.

Multiple choice

In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: Quantity I: Jony, Sandeep and Shilpa started a business with initial investments of Rs. 18000, Rs. 24000 and Rs. 30000 respectively. In this business Jony does most of the work so he gets 16% of the profit to supervise the business and rest of the profit is shared among them in the ratio of their investments. Find the profit share of Jony out of the total profit of Rs. 17000 Quantity II: Prashant and Priya started a business with initial investments of Rs. 12000 and Rs. 15000 respectively. After six months, Prashant invested an additional amount equal to half of his initial investments and Priya withdrew 20% of his initial investment. Find the profit share of Prashant out of the total profit of Rs. 11913 after one year.

  1. Quantity I < Quantity II

  2. Quantity I > Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II or relationship cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Jony's supervision bonus = 16% of 17000 = 2720. Remaining profit = 17000 - 2720 = 14280, shared in investment ratio 18000:24000:30000 = 3:4:5. Jony's share from remaining = (3/12) × 14280 = 3570. Total Jony = 2720 + 3570 = 6290. Quantity II: Prashant's effective investment = 12000 × 6 + 18000 × 6 = 72000. Priya's = 15000 × 6 + 12000 × 6 = 162000. Ratio = 72000:162000 = 4:9. Prashant's share = (4/13) × 11913 = 3666. Since 6290 > 3666, Quantity I > Quantity II is correct.

Multiple choice

In a partnership business, A invests (\frac{1}{6})th of the total investment for (\frac{1}{6}) of the total time, B invests (\frac{1}{4}) of the total investment for (\frac{1}{4}) of the total time and C, the rest of the investment for the whole time. Out of a profit of Rs. 24,735, C’s share is

  1. 24220

  2. 22240

  3. 21420

  4. 23460
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A invests (1/6)(1/6) = 1/36, B invests (1/4)(1/4) = 1/16. C invests rest: 1 - 1/36 - 1/16 = 7/12 for full time. Ratio of investments: A:B:C = 1/36:1/16:7/12 = 4:9:84. C's share = (84/97)×24735 = Rs. 21420.

Multiple choice

A started a business with an investment of Rs 8000. B joins after 4 months with a capital of Rs 10,000. After 8 months of starting the business, C joins them with a capital of Rs 15000. After 1 year, find the share of C with an annual profit of Rs 118000.

  1. 12000

  2. 15000

  3. 35000

  4. 26000

  5. 30000
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Investment ratios: A invests Rs.8000 for 12 months, B invests Rs.10000 for 8 months (joins after 4 months), C invests Rs.15000 for 4 months (joins after 8 months). Ratio = 8000×12 : 10000×8 : 15000×4 = 96 : 80 : 60 = 24 : 20 : 15. Total parts = 59. C's share = (15/59)×118000 = 30000.

Multiple choice

Three persons Amit, Bikas and Chandan invest in a business Rs. 30000, Rs. 40000 and Rs. 20000 respectively. After eight months Amit invests Rs. 5000 more while Bikas withdraws Rs. 10000. At the end of year find the share of Chandan in the profit of Rs. 26500.

  1. Rs. 6500

  2. Rs. 8500

  3. Rs. 6000

  4. Rs. 4950

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate profit-sharing ratios using investment × time. Amit: 30000×8 + 35000×4 = 380000. Bikas: 40000×8 + 30000×4 = 440000. Chandan: 20000×12 = 240000. Total ratio sum = 1060000. Chandan's share = (240000/1060000) × 26500 = 12/53 × 26500 = 6000.

Multiple choice

Seema and Imran started a partnership by investing Rs. 9600 and Rs. 8400 respectively. After 8 months Zaheer also joined them by investing 60% of the capital invested by Seema and Imran together. If at the end of 15 months Zaheer got Rs. 8400 as his profit share then find the total profit. सीमा तथा इमरान ने क्रमशः 9600 रू. और 8400 रू. के साथ निवेश प्रारम्भ किया। 8 महीनों पश्चात जहीर भी सीमा तथा इमरान के संयुक्त निवेश के 60% भाग के साथ व्यापार में शामिल हो गया। यदि 15 महीने के पश्चात जहीर को 8400 रूपये लाभांश के रूप में प्राप्त हुये तो कुल लाभ ज्ञात कीजिए?

  1. 36900

  2. 42000

  3. 38400

  4. 48200

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment calculations: Seema invests Rs. 9600 for 15 months = 9600×15 = 144000. Imran invests Rs. 8400 for 15 months = 8400×15 = 126000. Zaheer joins after 8 months (invests for 7 months) with 60% of (9600+8400) = Rs. 10800 × 7 = 75600. Total ratio sum = 345600. Zaheer's share = 75600/345600 = 7/32 of total profit. If Zaheer receives Rs. 8400, total profit = 8400 × 32/7 = Rs. 38400.

Multiple choice

Two partners A and B invest Rs. 12500 and Rs. 8500 respectively in a business. At the end of the year if A get Rs. 300 more than the other in profit. What is the total profit? दो साझेदार A और B क्रमशः 12500 रू. और 8500 रू. लगाकर एक व्यापार में सम्मिलित होते है। यदि वर्ष के अंत में लाभ में A को 300 रू. अधिक प्राप्त होते है, तो कुल लाभ कितना है?

  1. Rs. 1550 1550 रू.

  2. Rs. 1675 1675 रू.

  3. Rs. 1575 1575 रू.

  4. Rs. 1875 1875 रू.

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio A:B = 12500:8500 = 25:17. Profit is shared in this ratio. Let A's profit be 25k, B's profit be 17k. A gets Rs. 300 more, so 25k - 17k = 300, giving 8k = 300, so k = 37.5. Total profit = 25k + 17k = 42k = 42 × 37.5 = Rs. 1575.

Multiple choice

Sarita started a business investing Rs 50,000. After six months Abhishek joined her with Rs 75,000. After another six months Nisha also joined them with Rs 1.25 lakh. Find the profit earned at the end of 2 years from when Sarika started the business if Nisha got Rs.12300 As her profit share?

  1. 34610

  2. 31210

  3. 33210

  4. 36810

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sarita invested Rs. 50,000 for 24 months, Abhishek invested Rs. 75,000 for 18 months, Nisha invested Rs. 1,25,000 for 12 months. Profit ratio = 50000×24 : 75000×18 : 125000×12 = 12,00,000 : 13,50,000 : 15,00,000 = 24 : 27 : 30 = 8 : 9 : 10. Nisha's share = (10/27) × Total Profit = 12300. Total Profit = 12300 × 27/10 = Rs. 33,210. Option C matches this calculation.

Multiple choice

Satish, Bhavya and Abhishek entered into a partnership with Rs 16000, Rs 20000 and Rs 24000 respectively. Abhishek joined them after (x) months and Bhavya left (x) month before the end of year. If they share profit at the end of the year. If they share profit in the ratio 48 : 35 : 30 . Find the value of (x) ?

  1. 6

  2. 7

  3. 5

  4. 4

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Partnership profit ratio = Investment × Time. Satish: 16000 × 12 = 192000. Bhavya: 20000 × (12 - x) = 20000(12 - x). Abhishek: 24000 × x. Ratio = 192000 : 20000(12 - x) : 24000x = 48 : 35 : 30. Simplifying by 1000: 192 : 20(12 - x) : 24x = 48 : 35 : 30. This gives 192/(24x) = 48/30, so 192/x = 48/30 × 24 = 38.4, x = 192/38.4 = 5. Or: 20(12 - x)/24x = 35/30, so (240 - 20x)/24x = 7/6, 6(240 - 20x) = 168x, 1440 - 120x = 168x, 1440 = 288x, x = 5.

Multiple choice

Ratio of investment of A, B and C is 5:4:9 and ratio of their investment time is 12:9:10. If profit share of B is Rs. 1548, find total profit.

  1. 8432

  2. 7998

  3. 7667

  4. 8242
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is distributed in proportion to investment × time. A's effective investment = 5 × 12 = 60. B's effective investment = 4 × 9 = 36. C's effective investment = 9 × 10 = 90. The ratio is 60:36:90 = 10:6:15 (dividing by 6). Total parts = 10+6+15 = 31. B's share is 6/31 of total profit. If B gets Rs. 1548, then total profit = 1548 × 31/6 = Rs. 7998. Option A (8432) and D (8242) are incorrect, C (7667) doesn't match the calculation.

Multiple choice

M and N are partners in a firm out of which M is sleeping partner and N is working partner. M invests Rs 90000 and N invests Rs 45000. N receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. M’s share in the profit of Rs 12000 is:

  1. 3420

  2. 6840

  3. 10260

  4. 4200

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total profit = Rs 12000. N's commission = 14.5% of 12000 = Rs 1740. Remaining profit = 12000 - 1740 = Rs 10260. Investment ratio M:N = 90000:45000 = 2:1. M's share = (2/3) × 10260 = Rs 6840. Option B is correct.

Multiple choice

A and B started a business by investing in the ratio of 7: 10. C joins after 3 months with the investment one and a half of that of A. At the end of 1 year, out of the total profit, C’s share was Rs 12600, then what was the total profit (in Rs.)?

  1. 29800

  2. 39800

  3. 19800

  4. 38500

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A invests 7x for 12 months = 84x. B invests 10x for 12 months = 120x. C joins after 3 months with 1.5 × 7x = 10.5x for 9 months = 94.5x. Total ratio = 84:120:94.5 = 168:240:189. C's share = 189/(168+240+189) = 189/597 = 0.317. If 0.317 × profit = 12600, total profit = 12600/0.317 = 39748 ≈ 39800. Answer B is correct.

Multiple choice

Find the share of B in partnership with A, B and C if the total profit earned after 15 months is 48000 Rs. Statement I: Ratio of initial investment of A and B is 12:7. Statement II: C joined 8 months after starting of partnership. Statement III: Investment of C was Rs. 15000 and after that till end of partnership no one joined or left the partnership.

  1. All together are not sufficient

  2. II and (I or III) together are sufficient

  3. Only I and III together are sufficient

  4. All three together are sufficient

  5. Other than given options
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find B's profit share, we need: A's investment amount (unknown), A:B ratio (12:7 given), C's investment (Rs 15000 given), C's joining time (8 months late given), total duration (15 months), and total profit (Rs 48000 given). Without A's investment, we cannot find the actual investment ratios or profit distribution. All three statements together are insufficient because Statement III doesn't give A's investment.

Multiple choice

Three persons A, B and C invest in ratio of 3 : 4 : 2. if the ratio of their share in profit was 5 : 6 : 8 Then fined the ratio of their investment time? तीन व्यक्ति A, B तथा C 3 : 4 : 2 के अनुपात में निवेश करते हैं यदि उनके लाभ में हिस्से का अनुपात 5 : 6 : 8 है तो उनके निवेश समय का अनुपात ज्ञात कीजिये।

  1. 15:24:16

  2. 10:12:15

  3. 10:9:24

  4. 20:15:9

  5. None of these इनमे से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In partnership problems, profit sharing ratio equals investment ratio multiplied by time period. Time ratio = Profit ratio ÷ Investment ratio. For A: 5/3, B: 6/4 = 3/2, C: 8/2 = 4. Converting to integers: 5/3 : 3/2 : 4 = 10:9:24 after multiplying by 6.