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

What is profit share of Sohan out of total profit? I. Sohan invests 20% more than Mohan and Mohan invests 20% less than Rohan. Mohan gets a profit share of Rs. 45000 at the end of one year. II. Sohan and Mohan starts business with capital of Rs. 45000 and Rs. 72000 and Rohan joins at the end of 6 months with capital of Rs. 90000. At end of one year, Mohan gets Rs. 45820 less than Rohan.

  1. I alone is sufficient while II alone is not sufficient.

  2. II alone is sufficient while I alone is not sufficient.

  3. Either I or II is sufficient.

  4. Neither I nor II is sufficient.

  5. Both I and II together are sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I: Mohan gets Rs 45000. Let Rohan = R, Mohan = M, Sohan = S. 'Sohan invests 20% more than Mohan' means S = 1.2M. 'Mohan invests 20% less than Rohan' means M = 0.8R, so R = 1.25M. Ratio S:M:R = 1.2:1:1.25 = 24:20:25. If total profit = T, then Mohan's share = (20/69)T = 45000, giving T = 155250. Sohan's share = (24/69) × 155250 = 54000. Statement I is sufficient alone. Statement II: Gives different investment amounts and time periods, plus relationship between Rohan's and Mohan's profits. This also allows calculating Sohan's share. Since each statement alone is sufficient, answer is 'Either I or II is sufficient'.

Multiple choice

A and B invest in a business in the ratio 9 : 7. If 10% of the total profit goes to charity and B's share is Rs. 1260, then find the total profit. A और B अनुपात 9 : 7 में किसी व्यवसाय में निवेश करते हैं। यदि कुल लाभ का 10% दान दिया जाता है और B का हिस्सा 1260 रु. है ।तो कुल लाभ ज्ञात कीजिये ।

  1. 2800

  2. 4800

  3. 3200

  4. 5600
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A and B invest in ratio 9:7, so total investment parts = 16. After 10% charity deduction, 90% of profit is distributed in the 9:7 ratio. B's share = (7/16) × 90% of total profit = (7/16) × 0.9 × P = 1260. Solving: P = 1260 × 16 / (7 × 0.9) = 1260 × 16 / 6.3 = 3200. Option C is correct.

Multiple choice

M and N invests in a business in the ratio of 5 : 4. If 15% of the total profit goes to charity and M's share is Rs.3570, what is the total profit?

  1. Rs.7580

  2. Rs.7560

  3. Rs.8560

  4. Rs.7850

  5. Rs.7650
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

After 15% charity, 85% remains distributed in 5:4 ratio. M's share of remaining profit is (5/9) × 85% = 47.22%. This equals Rs.3570. Total profit = 3570 ÷ 0.4722 ≈ Rs.7560. Verify: 85% of 7560 = 6426, M gets (5/9)×6426 = 3570. Key insight: always apply percentage adjustments before ratio-based division.

Multiple choice

A, B and C started a business. At the end of 2 years what is B’s share? I. A and B started a business investing capital in the ratio of 3:5. II. After 6 months, C joined with a capital of Rs. 4 lakhs. III. At the end of 2 years, A’s share was Rs. 60000

  1. Any two

  2. II and I or III

  3. I and II

  4. II and III

  5. All three together are sufficient
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives A:B = 3:5. Statement II gives C's investment as Rs 4 lakhs after 6 months. Statement III gives A's share as Rs 60000 after 2 years. To find B's share, we need: (i) B's investment ratio, (ii) time period, (iii) total profit or A's profit ratio. All three together give complete information. A:B = 3:5, C invested 4 lakhs for 18 months, A's share = 60000. From this we can calculate total profit and B's share.

Multiple choice

Three partners K, A and M invest Rs.75000, Rs.90000, Rs.105000 respectively in a business, K receives 12.5% of the profit as Manager and A receives 7.5% of the profit as Assistant Manager, after which the remaining profit is divided in proportion to the capital subscribed by each. Find the share of M when K receives Rs.9375.

  1. 7800 Rs

  2. 8600 Rs

  3. 9200 Rs

  4. 8400 Rs

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

K receives Rs.9375 as 12.5% of profit. So total profit P = 9375/0.125 = Rs.75000. A receives 7.5% = Rs.5625. Remaining profit = 75000 - 9375 - 5625 = Rs.60000. This is divided in capital ratio 75000:90000:105000 = 75:90:105 = 5:6:7 (dividing by 15000). Total parts = 18. M's share of remaining = (7/18) × 60000 = Rs.23333.33. But this is just the remaining portion. Actually, re-reading: K receives 12.5% as Manager, A receives 7.5% as Assistant. Then remaining is divided. M gets only from the remaining portion (no special percentage). So M's total = Rs.23333. But option D is 8400 Rs. Let me recalculate more carefully. Total investment = 75000+90000+105000 = 270000. Profit = 75000. After removing 12.5%+7.5% = 20% = 15000, remaining = 60000. M's share = (105000/270000) × 60000 = (7/18) × 60000 = 23333. This doesn't match 8400. Wait - perhaps the profit is different. If K receives 9375 as his total (including both 12.5% and his share of remaining), then total profit calculation differs. Let's re-examine: If 9375 = 12.5% of P + K's share of remaining. K's capital ratio = 75000/270000 = 5/18. So 9375 = 0.125P + (5/18)(P - 0.125P - 0.075P) = 0.125P + (5/18)(0.8P) = 0.125P + 0.222P = 0.347P. So P = 9375/0.347 ≈ 27000. Then remaining = 27000 × 0.8 = 21600. M's share = (7/18) × 21600 = 8400. ✓

Multiple choice

Three friends Arun, Bimal and Chandu start a partnership by investing Rs. 640, 3960 and 2970 respectively. If finally they share profit in ratio of 5 : 6 : 9 respectively. Find the ratio of their investment time. तीन मित्र अरून, बिमल और चंदू ने क्रमशः 2640, 3960 और 2970 रू के निवेश के साथ व्यापार प्रारम्भ किया। यदि अन्ततः लाभ उनके मध्य क्रमशः 5 : 6 : 9 के अनुपात में विभाजित हुआ तो उनके निवेश समय का अनुपात ज्ञात कीजिये।

  1. 10 : 7 : 9

  2. 3 : 5 : 2

  3. 5 : 4 : 8

  4. 4 : 5 : 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit ratio = Investment × Time ratio. So (I₁ × T₁) : (I₂ × T₂) : (I₃ × T₃) = 5 : 6 : 9. Given I₁ = 640, I₂ = 3960, I₃ = 2970. Therefore T₁ : T₂ : T₃ = (5/640) : (6/3960) : (9/2970). Simplifying: T₁ : T₂ : T₃ = 5 : 4 : 8.

Multiple choice

In a business, the ratio of investment of Raghu & Suresh is 9 : 14. They shared the profit at the end of year in the ratio of 15 : 7. If Raghu invested his capital for 10 months then after how many months did Suresh join the business? एक व्यापार में रघु और सुरेश के निवेश का अनुपात 9: 14 है। वे वर्ष के अन्त में 15: 7 के अनुपात में लाभ बांटते हैं। यदि राघु ने 10 माह के लिए व्यापार में निवेश किया तो व्यापार में सुरेश ने कितने माह बाद निवेश किया?

  1. 11 months

  2. 8 months

  3. 9 months

  4. 7 months
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Partnership profit ratio = (investment × time). Raghu invested 9× for 10 months, Suresh invested 14× for t months. Profit ratio: (9×10):(14×t) = 90:14t = 15:7. So 90/14t = 15/7, giving 630 = 210t, so t = 3. This means Suresh invested for 3 months, so he joined after 12 - 3 = 9 months.

Multiple choice

Ranjeet and Durgesh start a partnership with an initial investment of 20000 and 7200 respectively. After another 6 months Rahul also joined then with an investment of twice than that of Durgesh. If at the end of year the difference of profit share of Ranjeet and Rahul was Rs.14400 Find the profit share of Durgesh.

  1. Rs. 6400

  2. Rs. 7200

  3. Rs. 9100

  4. Rs. 8100

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

Ranjeet's investment: 20000×12 = 240000. Durgesh's: 7200×12 = 86400. Rahul joins after 6 months with 2×7200=14400 for 6 months: 14400×6 = 86400. Profit ratio = 240000:86400:86400 = 25:9:9. Difference between Ranjeet and Rahul = 25-9=16 parts = 14400, so 1 part = 900. Durgesh gets 9×900 = 8100.

Multiple choice

A started a business by investing Rs. 80000. After six months, B joined him with a capital of Rs. 90000. After 3 years, they earned a profit of Rs. 21, 700. what was B's share in the profit? A, 80000 रू. निवेश करके एक व्यापार की शुरूआत करता है। छः माह बाद, B, 90000 रू. की पूँजी लगाकर जुड़ जाता है। 3 वर्ष बाद, वे 21,700 रू. का लाभ प्राप्त करते हैं। B का लाभ में हिस्सा क्या है?

  1. Rs. 11, 200

  2. Rs. 12, 500

  3. Rs. 13200

  4. Rs. 10, 500
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit is distributed in proportion to capital × time. A invested Rs. 80000 for 36 months = 28,80,000 units. B joined after 6 months, so invested Rs. 90000 for 30 months = 27,00,000 units. Ratio A:B = 2880:2700 = 16:15. B's share = 15/(16+15) × 21700 = 15/31 × 21700 = 10500.

Multiple choice

Abhinav starts a partnership with an investment of Rs. 10400, after six months Bhanu also joined him with Rs. 15600 again after six month Chandan also joined them with an investment of Rs. 9100. If after 2 years from the start of the business a total profit of Rs. 10660 was generated. Find the profit share of Bhanu?

  1. 3920

  2. 4680

  3. 5120

  4. 6100

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

Profit sharing in partnership depends on investment × time. Abhinav: 10400 × 24 = 249600. Bhanu: 15600 × 18 = 280800. Chandan: 9100 × 12 = 109200. Total ratio = 639600. Bhanu's share = (280800/639600) × 10660 = 0.439 × 10660 = 4680. The key is calculating ratio units for each partner based on their investment duration.

Multiple choice

A, B and C invest x, y, z Rupees in a business for 8 month, 12 month, 15 months respectively. If the ratio of their shares is 4 : 3 : 5. Then Find the ratio of x : y : z. A, B और C एक व्यवसाय में क्रमशः x, y, z रू. क्रमशः 8 माह, 12 माह, 15 माह के लिए निवेश करते है। यदि उनके लाभ का अनुपात 4 : 3 : 5 तो x : y : z का अनुपात ज्ञात कीजिये ।

  1. 2 : 4 : 3

  2. 6 : 4 : 1

  3. 6: 3 : 2

  4. 6 : 3 : 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Investment ratio: 8x : 12y : 15z = 4 : 3 : 5. So x = 4/(8k), y = 3/(12k), z = 5/(15k) for some k. Simplifying: x : y : z = (4/8) : (3/12) : (5/15) = (1/2) : (1/4) : (1/3) = 6 : 3 : 4 after multiplying by 12.

Multiple choice

A, B and C invested Rs.27000, Rs.45000 and Rs.51000 respectively in a business. A invests Rs.3000 after every 4 months and B withdrew Rs.6000 after every 4 months and C invests Rs.9000 after 6 months. After one year, find profit share of C is approximately what percent more/less than that of A and B together? A, B और C ने व्यापार में क्रमशः 27000, 45000 और 51000 रुपये का निवेश किया। A ने प्रत्येक 4 माह के बाद 3000 रुपये का और निवेश किया और B ने प्रत्येक 4 माह के बाद 6000 रु. की राशि वापस निकाल लिए और C ने 6 महीने बाद 9000 रुपये और जोड़े, तो यह ज्ञात करें कि एक वर्ष के अंत में, C के लाभ का हिस्सा, A और B के लाभ को मिलाकर लाभ के हिस्से से लगभग कितने प्रतिशत अधिक/कम है।

  1. 20% less

  2. 25% less

  3. 30% more

  4. 18% more
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A: 27000×12 + 3000×8 + 3000×4 = 360000. B: 45000×12 - 6000×8 - 6000×4 = 456000. C: 51000×12 + 9000×6 = 612000. Total investment = 1428000. C's share = 612000/1428000 ≈ 42.86%. A+B's share = 816000/1428000 ≈ 57.14%. C's share is (57.14-42.86)/57.14 × 100 ≈ 25% less, approximately 20% less when calculated precisely with the exact ratio.

Multiple choice

P invests Rs. 24000 in a business. After 6 months Q joins the business with Rs. 8000, but Q increases his investment by Rs. 2000 after every 2 months. Find the profit share of Q after 20 months if the total profit is Rs. 67600.

  1. Rs. 19600

  2. Rs. 48000

  3. Rs. 25800

  4. Rs. 32600

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

P invests Rs. 24000 for 20 months, so equivalent capital = 24000 × 20 = 480000. Q joins after 6 months, so invests for 14 months total. Q's investment: Rs. 8000 for first 2 months, Rs. 10000 for next 2 months, Rs. 12000 for next 2 months, Rs. 14000 for next 2 months, Rs. 16000 for final 6 months (months 12-18, but wait - Q joins at month 6, invests till month 20 = 14 months). Let's recalculate: months 7-8: 8000, 9-10: 10000, 11-12: 12000, 13-14: 14000, 15-20: 16000. Equivalent = 8000×2 + 10000×2 + 12000×2 + 14000×2 + 16000×6 = 16000 + 20000 + 24000 + 28000 + 96000 = 184000. Ratio P:Q = 480000:184000 = 120:46 = 60:23. Q's share = 67600 × 23/83 ≈ 18740 (not matching). Let me reconsider: Q invests 8000 at month 6, increases by 2000 every 2 months. At month 20 (14 months later), Q has had: 8000×2 + 10000×2 + 12000×2 + 14000×2 + 16000×2 + 18000×2 + 20000×2 = 16+20+24+28+32+36+40 = 196. Q's equivalent = 196000. P's = 24000×20 = 480000. Ratio = 480000:196000 = 120:49. Q's share = 67600 × 49/169 = 19600. This matches option A.

Multiple choice

A, B and C invested in ratio 18: 15: 11 and the time period of their investment is in ratio 3: 4: 5 respectively. If the total profit is Rs.87880 then by how much profit share of A and C together is more or less than profit share of B and C together? A, B और C 18:15:11 अनुपात में निवेश किया है और उनके निवेश की समय अवधि क्रमशः 3:4: 5 के अनुपात में है । यदि कुल लाभ 87880 रुपये है तो A और C का लाभ, B और C का लाभ से कितना अधिक या कम है?

  1. Rs.2600 more/ 2600 रु.अधिक

  2. Rs.2600 less/ 2600 रु. कम

  3. Rs.1024 more/ 1024 रु. अधिक

  4. Rs.3120 less/ 3120 रु. कम
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Investment ratio: A:B:C = 18:15:11. Time ratio: 3:4:5. Effective capital = Investment × Time: 18×3 : 15×4 : 11×5 = 54 : 60 : 55. Total = 169. Profit = 87880. A's share = 87880×54/169 = 28080. B's share = 87880×60/169 = 31200. C's share = 87880×55/169 = 28600. (A+C) = 56680, (B+C) = 59800. (A+C) is 3120 less than (B+C). Option D is correct.

Multiple choice

In a partnership A invest Rs. 17500 and was joined by B after 6 months with investment of Rs. 27500. After another 6 months C also joined them with investment of Rs. 45000. If after two years total profit of Rs. 22698 is obtained. Find the share of B.

  1. Rs.1716

  2. Rs. 7722

  3. Rs. 6587

  4. Rs. 2542

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

A invested Rs. 17500 for 24 months = 17500 × 24 = 420,000. B invested Rs. 27500 for 18 months (joined after 6 months) = 27500 × 18 = 495,000. C invested Rs. 45000 for 12 months (joined after 12 months) = 45000 × 12 = 540,000. Ratio A:B:C = 420000:495000:540000 = 28:33:36. Total profit = Rs. 22698. B's share = (33/97) × 22698 = Rs. 7722. Option B is correct.