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 enter into a partnership. A contributes one third of the capital, while B contributes as much as A and C together. If the total profit at the End of years Rs. 96000. How much would each receive (in Rs.) A, B और C एक साझेदारी में प्रवेश करते हैं। A, पूंजी का एक तिहाई भाग लगाता है, जबकि B, A और C को मिलाकर उतना ही योगदान देता है। यदि वर्षों के अंत में कुल लाभ रु. 96000 प्रत्येक को कितना प्राप्त होगा (रुपये में)

  1. 21000, 32000, 14000

  2. 48000, 42000, 24000

  3. 32000, 48000, 24000

  4. 18000, 32000, 14000

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

Let total capital be 3x. A contributes x (one third). Let B contribute y and C contribute z. Given B = A + C, so y = x + z. Also x + y + z = 3x, substituting: x + x + z + z = 3x, so 2x + 2z = 3x, which gives z = x/2. Then y = x + x/2 = 3x/2. So the ratio A:B:C = x : 3x/2 : x/2 = 2 : 3 : 1. Total parts = 6. A gets 2/6 of 96000 = 32000, B gets 3/6 of 96000 = 48000, C gets 1/6 of 96000 = 16000. Option C shows 32000, 48000, 24000 which is incorrect for C. The correct answer is E (None of these) as C's share should be 16000, not 24000.

Multiple choice

A, B, C and D enter into a partnership by investing in the ratio of 4 : 5 : 6 : 8. After 4 months, B withdraw his 40 % of the initial investment and after another 3 months, A and D increases his investment by 30 % and 50 % respectively. If at the end of the year, C gets Rs. 19800 as profit, then find the total profit of A, B, C and D? A, B, C और D 4:5:6:8 के अनुपात में निवेश करके एक साझेदारी में प्रवेश करते हैं। 4 महीने के बाद, B अपने प्रारंभिक निवेश का 40% वापस ले लेता है और अन्य 3 महीने के बाद, A और D अपने निवेश में क्रमशः 30% और 50% की वृद्धि करते हैं। यदि वर्ष के अंत में, C को रु. 19800 लाभ के रूप में, तो A, B, C और D का कुल लाभ ज्ञात कीजिए?

  1. 78600

  2. 78650

  3. 72590

  4. 79280

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

Calculate equivalent monthly investments: A has (4×7)+(5.2×5)=54, B has (5×4)+(3×8)=44, C has 6×12=72, D has (8×7)+(12×5)=116. Ratio is 54:44:72:116=286 total parts. C's 72 parts = Rs.19800, so 1 part = 275. Total = 286×275 = Rs.78650.

Multiple choice

A, B entered into a partnership with Rs 5000 and Rs 8000 respectively. B withdrew Rs 2000 after 4 months and C joined the business with Rs 12000 after 5 months from start. Find B’s share in profit if total profit after one year is Rs11760? A, B ने क्रमशः 5000 रुपये और 8000 रुपये के साथ एक साझेदारी की। B ने 4 महीने के बाद 2000 रुपये वापस ले लिए और 5 महीने के बाद C 12000 रुपये के साथ व्यापार में शामिल हो गया। यदि एक वर्ष के बाद कुल लाभ 11760 रुपये है, तो लाभ में B का हिस्सा ज्ञात कीजिए?

  1. Rs 4200 4200 रुपये

  2. Rs 5100 5100 रुपये

  3. Rs 6235 6235 रुपये

  4. Rs 5269 5269 रुपये

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

Calculate each partner's effective investment as capital × months. A: 5000 × 12 = 60000. B: 8000 × 4 = 32000 (first 4 months) + 6000 × 8 = 48000 (next 8 months), total 80000. C: 12000 × 7 = 84000 (joined after 5 months). Total = 224000. B's share = 80000/224000 × 11760 = Rs 4200.

Multiple choice

A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 190500, what amount have C at the end of year? A, B और C एक साझेदारी में 2:3:5 के अनुपात में प्रवेश करते हैं। 2 महीने के बाद, A अपने हिस्से में 20% और B 10% की वृद्धि करता है। यदि एक वर्ष के अंत में कुल लाभ 190500 रुपये है, तो वर्ष के अंत में C के पास कितनी राशि है?

  1. 89000

  2. 78000

  3. 12700

  4. 90000

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

Initial investments for 2 months: A = 2k, B = 3k, C = 5k. After 2 months: A = 2.4k (20% increase), B = 3.3k (10% increase), C = 5k. Investment × months: A = 2k×2 + 2.4k×10 = 28k, B = 3k×2 + 3.3k×10 = 39k, C = 5k×12 = 60k. Ratio A:B:C = 28:39:60. Total = 127k = 190500, so k = 1500. C's share = 60k = 60×1500 = 90000.

Multiple choice

A ,B, and C started a business by investing Rs. 55,000 , Rs. 65,000 and Rs. 75,000 respectively. A is a working partner and gets 20% of the profit as a working allowance and remaining is distributed in the proportion of their investment. If the money received by C is Rs. 27,000 what is total profit? A, B और C ने क्रमशः रु. 55,000 रु. 65,000 रु 75,000 का निवेश करके एक व्यवसाय शुरू किया। A एक कार्यशील भागीदार है और लाभ का 20% कार्य भत्ते के रूप में प्राप्त करता है और शेष को उनके निवेश के अनुपात में वितरित किया जाता है। यदि C द्वारा प्राप्त धन रु. 27,000 है तो कुल लाभ क्या है?

  1. Rs. 85500 रु. 85500

  2. Rs.87750 रु.87750

  3. Rs.76850 रु.76850

  4. Rs.70200 रु.70200

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

Total investment ratio A:B:C = 55000:65000:75000 = 11:13:15. Total profit = P. A gets 20% as working allowance = 0.2P. Remaining profit = 0.8P distributed in 11:13:15 ratio. C's share from remaining = (15/39) × 0.8P = 0.8P × 5/13. C's total = 27000 = 0.8P × 5/13. Solving: 27000 × 13 = 0.8P × 5; 351000 = 4P; P = 87750. Total profit is Rs. 87750.

Multiple choice

A and B started a business together with investment of Rs. 5600 and Rs. 6300, respectively. After a year, both increased their investments by 25% and 10%, respectively. If the profit earned by them at the end of 2 years is Rs. 3690, then find the profit share of A. A और B ने क्रमशः 5600 रुपये और 6300 रुपये के निवेश के साथ एक व्यवसाय शुरू किया। एक वर्ष के बाद, दोनों ने अपने निवेश में क्रमशः 25% और 10% की वृद्धि की। यदि 2 वर्ष के अंत में उनके द्वारा अर्जित लाभ रु. 3690, तो A का लाभ हिस्सा ज्ञात कीजिए।

  1. Rs. 1890 रु. 1890

  2. Rs. 1720 रु. 1720

  3. Rs. 1900 रु. 1900

  4. Rs. 1600 रु. 1600

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

A's investment: 5600 for year 1, then 5600 × 1.25 = 7000 for year 2. Investment-time product = 5600 + 7000 = 12600. B's: 6300 for year 1, then 6300 × 1.10 = 6930 for year 2. Product = 6300 + 6930 = 13230. Ratio A:B = 12600:13230 = 20:21. A's profit = 3690 × 20/41 ≈ Rs. 1800. Since this exact value isn't among the given options (1600, 1720, 1890, 1900), the correct choice is 'None of these'.

Multiple choice

Three partners A, B, and C start a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs. 15,400 at the end of the year, C's share is:

  1. 6000

  2. 1400

  3. 1200

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

Let C's capital = x. Then B's capital = 4x. Given 2A = 3B = 3(4x) = 12x, so A = 6x. Ratio A:B:C = 6:4:1, total = 11 parts. Profit = Rs. 15400, so 1 part = 15400/11 = 1400. C's share = 1 part = Rs. 1400.

Multiple choice

X and Y invested in the business in a ratio of 4 : 5. After 3 months Y left the business and for another 2 months, X run the business, What will be the share of X in the total profit of Rs 4550.

  1. Rs 3000

  2. Rs 2600

  3. Rs 3600

  4. Rs 4200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

X invested 4 parts for 5 months (3 + 2 after Y left), Y invested 5 parts for 3 months. Investment × time: X = 4 × 5 = 20, Y = 5 × 3 = 15. Total = 35 parts, X's share = 20/35 of profit = (20/35) × 4550 = Rs. 2600. Option A (3000) is 4/5 of profit, ignoring time weights. Options C and D are miscalculations.

Multiple choice

Raju and Gopal started a partnership business with investment of Rs.1500 and Rs.3400 respectively. After 4 months, Raju and Gopal increased their investment by 15% and 25% respectively. What is the profit of Raju after 1 year, if the total profit earned is Rs.3370?

  1. 950

  2. 990

  3. 1020

  4. 650

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

Raju: 1500×4 months + (1500×1.15)×8 months = 6000 + 13800 = 19800. Gopal: 3400×4 + (3400×1.25)×8 = 13600 + 34000 = 47600. Ratio = 19800:47600 = 99:238. Raju's share = 3370×99/337 ≈ 990.43, approximately 990.

Multiple choice

Pawan and Virat entered into a partnership business with investments of Rs (x + 200) and Rs (x + 50) respectively. After 1 year, Pawan and Virat added an extra amount of Rs.150 and Rs.50 such that the ratio of their profit shares at the end of 2 years is 4: 3. Find the value of x.

  1. 522

  2. 525

  3. 727

  4. 282

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

For 2 years with a midpoint investment change, profit ratio = [(initial investment × 1 year) + (increased investment × 1 year)] in the same ratio for both partners. Pawan: (x+200)+(x+350) = 2x+550. Virat: (x+50)+(x+100) = 2x+150. Setting (2x+550)/(2x+150) = 4/3 gives 6x+1650 = 8x+600, so 2x = 1050 and x = 525.

Multiple choice

Sekhar started the business with the investment of Rs.6000. After 4 months, Suman joined him with the investment is 25% more than the initial investment of Sekhar. At the end of year, Sekhar received Rs.2700 as profit share out of the total profit, then find the profit share of Suman?

  1. Rs.2250

  2. Rs.2450

  3. Rs.2500

  4. Rs.2000

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

Sekhar invests Rs.6000 for 12 months = 72000 unit-months. Suman joins after 4 months with 25% more = 6000 × 1.25 = Rs.7500 for 8 months = 60000 unit-months. Ratio = 72000:60000 = 6:5. Sekhar gets Rs.2700 (6 parts), so 1 part = 450. Suman's share (5 parts) = 5 × 450 = Rs.2250.

Multiple choice

Chandan, Ramesh and Mohan started the business with the investment in the ratio of 2:3:4 and the investment period of Chandan, Ramesh and Mohan is 8 months, 10 months and 6 months respectively. At the end of business, the difference between the profits shares of Chandan and Mohan is Rs.4000, find the total profit of the business?

  1. Rs.35000

  2. Rs.40000

  3. Rs.42000

  4. Rs.28000

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

Profit share ratio = investment ratio × time ratio. Chandan: 2×8 = 16, Ramesh: 3×10 = 30, Mohan: 4×6 = 24. Ratio is 16:30:24 (or 8:15:12). Total ratio units = 35. Difference between Chandan and Mohan = 15 - 8 = 7 units. If 7 units = Rs. 4000, then 1 unit = Rs. 4000/7. Total profit = 35 × (4000/7) = Rs. 35000. The ratio considers both investment amount and time duration.

Multiple choice

Aman, Bhanu, Chhiresh are partners in a business. Aman, whose capital was invested for 6 months claims (\frac{1}{3}) parts of the total profit. Bhanu, whose capital was invested for 8 months claims (\frac{1}{5}) part of the total profit. Chhiresh invested Rs 52500 for 11 months, then Aman invested how much amount?

  1. Rs 55000

  2. Rs 60000

  3. Rs 62500

  4. Rs 68750
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In partnership, profit share ratio = (Capital × Time). Aman's share = 1/3 for 6 months, Bhanu's share = 1/5 for 8 months. Chhiresh invested Rs 52500 for 11 months. Let Aman's investment be x. Profit ratios: Aman : Bhanu : Chhiresh = 6x : 8y : 11×52500. Given 6x/(6x + 8y + 577500) = 1/3 and 8y/(6x + 8y + 577500) = 1/5. Solving these equations with 11×52500 = 577500 for Chhiresh, we get x = 68750. Option D is correct.

Multiple choice

Abhishek started a business investing Rs 50000. After one year he invested another Rs 30000 and Sudhir also joined him with a capital of Rs 70000. If the profit earned in three years from the starting of business was Rs 25500, then find the share of Sudhir in the profit.

  1. Rs 12500

  2. Rs 10500

  3. Rs 10200

  4. Rs 11450
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit sharing ratio based on capital × time: Abhishek = (50,000 × 3) + (30,000 × 2) = 150,000 + 60,000 = 210,000. Sudhir joined after 1 year, so invested for 2 years: 70,000 × 2 = 140,000. Total = 210,000 + 140,000 = 350,000. Sudhir's share = (140,000/350,000) × 25,500 = (14/35) × 25,500 = (2/5) × 25,500 = ₹10,200.

Multiple choice

A, B and C invested in a business with Rs ( X-1200), Rs X and Rs ( X+ 1800) respectively. At the end of the year they get total profit Rs P. B invest her profit share in a scheme at 18% pcpa for 5 years and received interest Rs 3600 . Value of P is 4800 more than twice of B's profit share. find the profit % share of C ?

  1. 40%

  2. 50%

  3. 30%

  4. 25%

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

Profit is distributed in proportion to investment. The investments are X-1200:X:X+1800. B's share = X/((X-1200)+X+(X+1800)) = X/3X = 1/3 of total profit P. So B's share = P/3. Given B invests P/3 at 18% for 5 years, simple interest = (P/3)×18×5/100 = 3600, so P/3 = 4000, P = 12000. Also given P = 4800 + 2×(B's share) = 4800 + 2×4000 = 12800. This inconsistency suggests redundant problem info. For C's share: C invests X+1800, so C's percentage = (X+1800)/3X × 100%. With X=4000: 5800/12000 = 48.33%, closest to 50%. Answer B is correct.