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 go into a business as partners with the agreement that their shares of profit will be in the proportion of their capitals. If A' s capital : B's capital = 2 : 3, and B's capital : C's capital = 2 : 5, find B's share in a profit of Rs.3250. A, B और C एक व्यापार में साझेदारों की तरह से शामिल होकर इस बात पर सहमत होते हैं कि वे अपने लाभ के अनुपात को उनके द्वारा निवेशित पूंजियों के अनुपात में बांटेगें। यदि A की पूँजी : B की पूँजी = 2 : 3 और B की पूँजी : C की पूँजी = 2 : 5, रु.3250 में B का लाभांश ज्ञात कीजिये।

  1. Rs./रु.780

  2. Rs./रु.760

  3. Rs./रु.540

  4. Rs./रु.1930
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find B's share, first get the combined ratio A:B:C. A:B = 2:3 and B:C = 2:5. Making B equal: A:B = 4:6 and B:C = 6:15, so A:B:C = 4:6:15. Total parts = 25. B's share = (6/25) × 3250 = Rs.780.

Multiple choice

A invest (1/6) part of the total capital for (1/6) time. B invest (1/3) part of total capital for (1/3) time and C invest the rest capital for full time. If the total profit is Rs.69000, find the share of B A कुल पूँजी का (1/6) भाग (1/6) समय के लिए निवेश करता है | B कुल पूँजी का (1/3) भाग (1/3) समय के लिए निवेश करता है और C शेष पूँजी को पूरे समय के लिए निवेश करता है | यदि कुल लाभ 69000 रु. है | B का हिस्सा ज्ञात कीजिये |

  1. Rs./रु.10000

  2. Rs./रु.12000

  3. Rs./रु.15000

  4. Rs./रु.18000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is proportional to capital × time. A: (1/6) × (1/6) = 1/36. B: (1/3) × (1/3) = 1/9 = 4/36. C invests remaining: 1 - 1/6 - 1/3 = 1/2 capital for full time = 1/2 = 18/36. Ratio A:B:C = 1:4:18. B's share = (4/23) × 69000 = 12000.

Multiple choice

A, B and C started a business by investing Rs.1,20,000, Rs.1,35,000 and Rs.1,50,000 respectively. If B's share is Rs.18,900, then what is the annual profit? A, B और C एक व्यवसाय की शुरुआत क्रमशः रु.1,20,000, रु.1,35,000 और रु.1,50,000 लगाकर करते हैं | यदि B का हिस्सा रु.18,900 था, तो कुल वार्षिक लाभ क्या है ?

  1. Rs./रु.65,700

  2. Rs./रु.56,700

  3. Rs./रु.65,600

  4. Rs./रु.56,600
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratio A:B:C = 120000:135000:150000 = 24:27:30 = 8:9:10. Total ratio parts = 27. B's share = 9/27 of total profit = 1/3 of profit. If 1/3 profit = 18900, then total profit = 18900 × 3 = Rs 56700.

Multiple choice

A and B are two partners in a business. If the ratio of their capitals is 2 : 3 and the ratio of their times is 3 : 4, then find the share of A in the total profit of 4500. किसी व्यापार में A और B दो साझेदार हैं । यदि उनकी धनराशियों का अनुपात 2 : 3 तथा समयों का अनुपात 3: 4 है तो 4500 रू. के कुल लाभ में A का हिस्सा ज्ञात कीजिए।

  1. Rs./रू.1500

  2. Rs./रू.2000

  3. Rs./रू.3000

  4. Rs./रू.2500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In partnership, profit is distributed in proportion to the product of capital invested and time period. A's investment-time product is 2×3=6, B's is 3×4=12, giving ratio 6:12 or 1:2. A's share = 4500 × 1/(1+2) = 1500. Options B, C, D are incorrect as they don't match this calculation.

Multiple choice

P, Q and R invest their capital into a partnership in the following manner ; P invests one - half of the capital for three - fourth of the time, Q invests one - third of the capital for one - half of the time and R invests the remaining capital for the whole time. If the share of profit of P is Rs.270, then what is the total profit at the end of the year? P, Q और R अपनी पूँजी को एक साझे में दिए गए प्रकार से निवेशित करते हैं ; P पूँजी का आधा तीन - चौथाई समय के लिए निवेशित करता है, Q पूँजी का एक तिहाई आधे समय के लिए निवेशित करता है और R शेष पूँजी को पूरे समय के लिए निवेश करता है | यदि P का लाभ में हिस्सा रु.270 है, तो वर्ष के अंत में कुल लाभ क्या है ?

  1. Rs./रु.520

  2. Rs./रु.515

  3. Rs./रु.530

  4. Rs./रु.510
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total capital = C for time 1 year. P: (C/2) for (3/4) year = (3C/8). Q: (C/3) for (1/2) year = (C/6). R: Remaining capital = C - C/2 - C/3 = C/6 for 1 year = (C/6). Ratio P:Q:R = (3/8):(1/6):(1/6) = 9:4:4. P's share = 9/17. If 9/17 of profit = Rs. 270, total profit = 270×(17/9) = Rs. 510.

Multiple choice

Three friends A, B and C started a business by investing amount in the ratio of 5 : 7 : 6 respectively. After a period of six months C withdrew half of the amount invested by him. If the amount invested by A is Rs. 40000 and the total profit earned at the end of one year is Rs. 33000, what is C's share in profit? तीन मित्र A, B और C, 5 : 7 : 6 के अनुपात में धन निवेश करके एक व्यापार प्रारम्भ करते हैं। 6 महीने के बाद C अपने निवेशित धन में से आधा धन निकाल लेता है। यदि A द्वारा निवेशित धन 40000 रू. है और एक वर्ष के अंत में कुल अर्जित लाभ 33000 रू. हो, तो लाभ में C का हिस्सा क्या है?

  1. Rs./रु.8000

  2. Rs../रु.7200

  3. Rs../रु.9000

  4. Rs../रु.8800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio A:B:C = 5:7:6. A's investment = Rs. 40000, so 5 parts = 40000, 1 part = 8000. Therefore B = 7 × 8000 = Rs. 56000 and C = 6 × 8000 = Rs. 48000. For profit calculation: A invests Rs. 40000 for 12 months = 480000 units. B invests Rs. 56000 for 12 months = 672000 units. C invests Rs. 48000 for 6 months, then withdraws half (Rs. 24000) for remaining 6 months: 48000×6 + 24000×6 = 288000 + 144000 = 432000 units. Total ratio units = 480000 + 672000 + 432000 = 1584000. C's profit share = (432000/1584000) × 33000 = Rs. 9000. However, my calculation shows C's share should be approximately Rs. 9000, which matches option C. Let me verify: C's ratio = 432000, Total = 1584000, so C's share of 33000 = 33000 × (432000/1584000) = 33000 × 0.2727... ≈ 9000. Yes, this is correct.

Multiple choice

In a business P and R invested amounts in the ratio 2 : 1, whereas P and Q invested amounts in the ratio 3 : 2. If P's share in the annual profit is Rs.72600, then Q's share in the profit is

  1. Rs.24200

  2. Rs.48000

  3. Rs.36300

  4. Rs.48400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From P:R = 2:1 and P:Q = 3:2, let P = 6k (LCM of 2 and 3). Then R = 3k and Q = 4k. Investment ratios P:Q:R = 6:4:3. Q's share = (4/13) × Total Profit. P's share = (6/13) × Total Profit = Rs.72600. Total Profit = 72600 × 13/6 = Rs.157300. Q's share = (4/13) × 157300 = Rs.48400. Option D is correct. Option A (Rs.24200) would be R's share if total profit were Rs.104333, and Option C (Rs.36300) doesn't match the ratio.

Multiple choice

Ram and Raja invested Rs 10000 and Rs 12000 respectively. After three months, Ajay joined them and invested Rs. 18000. If the total profit earned after one year is Rs. 21300, then what is the difference between the share in profit of Ram and Ajay?

  1. 2100

  2. 2150

  3. 2200

  4. 2250

  5. 2300
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In partnership problems, profit is distributed in ratio of investment × time. Ram: 10000×12 = 120000. Raja: 12000×12 = 144000. Ajay: 18000×9 = 162000 (joined after 3 months). Total ratio units = 426000. Ram's share = 21300 × (120000/426000) ≈ 6000. Ajay's share = 21300 × (162000/426000) ≈ 8100. Difference = 2100.

Multiple choice

The share of P in a partnership is Rs.1000 more than that of Q, but capital of P is invested for 8 months while capital of Q for 12 months. If the share of P in the yearly profit is the same as that of Q, then what is the capital of P?

  1. Rs.3000

  2. Rs.4000

  3. Rs.5000

  4. Rs.2000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In partnership, profit share = capital × time. P's capital × 8 months = Q's capital × 12 months (equal profit). P's share = Q's + 1000. Let Q's capital be x. Then P's = x+1000. So 8(x+1000) = 12x. Solving: 8x + 8000 = 12x, so 4x = 8000, x = 2000. Therefore P's capital = 3000.

Multiple choice

The ratio of investment of two partners is 11 : 12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months, find for how much time B invested his money? दो साझेदारों के लिए निवेश का अनुपात 11 : 12 है और उनके लाभों में अनुपात 2 : 3 है | यदि A ने 8 माह के लिए निवेश किया हो, ज्ञात कीजिये कि कितने समय के लिए B ने अपनी राशि निवेशित की ?

  1. 10 months/माह

  2. 11 months/माह

  3. 12 months/माह

  4. 13 months/माह
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In partnership, profit ratio = (investment × time) ratio. So (11 × 8) : (12 × t) = 2 : 3, where t is B's time in months. This gives 88 : 12t = 2 : 3. Cross-multiplying: 88 × 3 = 12t × 2 → 264 = 24t → t = 11 months. Option B is correct.

Multiple choice

A starts a business with an investment of Rs.28000. Five months later B joins and further two months later C joins them. If the profit sharing ratio at the end of the year is 4 : 3 : 2 then money invest by C was? A ने 28000 रू.के निवेश के साथ एक व्यापार प्रारम्भ किया, पॉच माह बाद B शामिल होता है। और अगले दो माह बाद C शामिल होता हे। यदि वर्ष के अन्त में लाभ वितरण अनुपात 4 : 3 : 2 है तो C के द्वारा निवेशित धनराशि थी?

  1. Rs.24600

  2. Rs.32800

  3. Rs.33600

  4. Rs.36500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let B invest for 7 months and C invest for 5 months. Profit ratio 4:3:2 means 28000×12 : B×7 : C×5 = 4:3:2. From 336000 : 7B : 5C = 4:3:2, we get 7B = (3/4)×336000 = 252000, so B = 36000. Also, 5C = (2/4)×336000 = 168000, so C = 33600.

Multiple choice

The investments by P and Q are in the ratio 3 : 2. If 5% of total profit is donated and P gets 9405 as his share of profit then what is the amount of total profit? P और Q की पूँजियों में 3 : 2 का अनुपात है। यदि कुल लाभ का 5% दान दे दिया गया है और P लाभ के रूप में 9405 रू. प्राप्त करता है तो कुल लाभ की राशि क्या है?

  1. Rs. 15000

  2. Rs. 16000

  3. Rs. 16500

  4. Rs. 16050
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

P and Q invest in 3:2 ratio, so P gets 3/5 of remaining profit after 5% donation. P's share = 0.95 × Total Profit × 3/5 = 9405. So Total Profit = 9405 × 5 / (0.95 × 3) = 16500. This tests partnership profit distribution with donations.

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?

  1. 9 : 10 : 24

  2. 24 : 9 : 10

  3. 10 : 9 : 24

  4. 8 : 6 : 5

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

Investment ratio 3:4:2. Profit ratio 5:6:8. Profit = Investment × Time. So time ratio = Profit/Investment. For A: 5/3 = 10/6, B: 6/4 = 9/6, C: 8/2 = 24/6. Time ratio = 10:9:24. This relationship holds because in partnership, profit is directly proportional to both investment amount and time period.

Multiple choice

A start a business. After 6 months from the start of the business, B and C joined. the respective ratio between the investments of A, B and C was 5:7:8.If B’s share in profit generated after 2 years was Rs. 148 more than A’s share, find the total profit earned A ने एक व्यवसाय प्रारम्भ किया । व्यापार के प्रारम्भ से 6 महीने बाद, B और C व्यापार में शामिल हो गए तथा A, B और C के निवेश का अनुपात क्रमशः 5: 7: 8 था .यदि 2 वर्षों के बाद उत्पन्न लाभ में B का हिस्सा A के हिस्से से 148 रु अधिक था तो कुल अर्जित लाभ ज्ञात कीजिये|

  1. Rs./रु.8775

  2. Rs./रु.9620

  3. Rs./रु.10200

  4. Rs./रु.11420
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A invests for 24 months at 5. B and C invest for 18 months at 7 and 8. Ratio: A:B:C = 5×24 : 7×18 : 8×18 = 120:126:144 = 20:21:24. Total parts = 65. B-A = 21-20 = 1 part = 148. Total = 65×148 = 9620. Investment is weighted by time duration in partnership problems.

Multiple choice

A and B started a business with the investments in the ratio of (9:5) respectively. After 9 months from the start of the business, C joined them and the respective ratio between the investments of B and C was (3:5). If the annual profit earned by them was Rs. (6760) at the end of 15 months, then find the difference between A’s share and C’s share in total profit?

  1. 2250 Rs

  2. 1540 Rs

  3. 1235 Rs

  4. 2210 Rs

  5. 2300 Rs
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A:B = 9:5, B:C = 3:5. Make B equal: A:B:C = 27:15:25. A invests 27x for 15 months = 405, B invests 15x for 15 months = 225, C invests 25x for 6 months (joined after 9 months) = 150. Ratio of profit shares: 405:225:150 = 27:15:10. Total = 52. A's share = (27/52) × 6760 = 3510, C's share = (10/52) × 6760 = 1300. Difference = 3510 - 1300 = 2210.