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 starts a business with a capital of Rs.15000. B joins the business after 6 months and C joins the business after 9 months. At the end of the year, their respective shares of profit were in ratio of 8: 4: 3. What is the sum of amount invested in the business by B and C together?

  1. Rs.37500

  2. Rs.24000

  3. Rs.28000

  4. Rs.22000

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

Profit ratio = Investment × Time. A invests Rs.15000 for 12 months = 180000. B invests for 6 months (6 to 12). C invests for 3 months (9 to 12). Given ratio 8:4:3, let A's share = 8x. Then 180000/8x = B's investment × 6/4x. Solving: B's investment = (4x × 180000)/(8x × 6) = Rs.15000. Similarly for C: C's investment = (3x × 180000)/(8x × 3) = Rs.22500. Total B + C = Rs.37500.

Multiple choice

Kartik, Prakash and Vimal enter into a Partnership with investment in the ratio of (\frac{3}{2}:\frac{8}{5}:\frac{5}{3}). After six months, Kartik increases his share by 40%. If the total profit at the end of the year was Rs.136800 then find the share of Prakash in the profit.

  1. Rs.40200

  2. Rs.41200

  3. Rs.43200

  4. Rs.42200

  5. Rs.45200
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First convert the investment ratio to common form: (3/2):(8/5):(5/3) = 45:48:50 (using LCM 30 as denominator). Kartik:Prakash:Vimal = 45:48:50. Kartik increases by 40% after 6 months, so his investment for the year is effectively 45 × 6 + 45 × 1.4 × 6 = 270 + 378 = 648. Prakash: 48 × 12 = 576. Vimal: 50 × 12 = 600. Profit ratio = 648:576:600 = 27:24:25. Total profit Rs.136800 split in 76 parts (27+24+25). Prakash's share = (24/76) × 136800 = Rs.43200, matching option C.

Multiple choice

Dhruv and Sumit started a partnership investing amounts in the ratio 2 : 3. After 6 months, Praveen joined the partnership, with an amount equal to Sumit. The profit at the end of one year should be distributed among Dhruv, Sumit and Praveen in the ratio ध्रुव और सुमित 2 : 3 के अनुपात में धनराशि निवेश करके साझेदारी से एक व्यापार प्रारम्भ करते हैं | 6 माह बाद, प्रवीण साझेदारी से, सुमित के बराबर धनराशि निवेश करके जुड़ जाता है | एक वर्ष के अंत में, ध्रुव, सुमित और प्रवीण में बांटे जाने वाले लाभ में अनुपात है -

  1. 2 : 3 : 3

  2. 4 : 6 : 3

  3. 2 : 6 : 3

  4. 3 : 4 : 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit sharing ratio = (investment × time) for each partner. Dhruv: 2x × 12 months = 24x. Sumit: 3x × 12 months = 36x. Praveen: 3x × 6 months = 18x (joined after 6 months). Ratio = 24x : 36x : 18x = 4 : 6 : 3 after dividing by 6x.

Multiple choice

In a partnership business, Q's capital was half of P's. If after 8 months, Q withdrew half of his capital and after 2 months more P withdrew (1/4)th of his capital, then the profit ratio of P and Q after a year will be एक साझेदारी के व्यापार में, Q की पूँजी P की पूँजी का आधा है | यदि 8 माह बाद, Q अपनी पूँजी में से आधा निकाल लेता है और 2 अन्य माह बाद P अपनी पूँजी का (1/4) भाग निकाल लेता है, तो P और Q में एक वर्ष बाद लाभ का अनुपात होगा

  1. 5 : 2

  2. 10 : 23

  3. 2 : 5

  4. 23 : 10
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit is distributed in ratio of capital × time. Let P's capital = 2x, Q's = x. For months 0-8: P has 2x, Q has x. Months 8-10: P has 2x, Q has x/2. Months 10-12: P has 3x/4, Q has x/2. Ratio = (16x + 4x + 1.5x) : (8x + 2x) = 21.5 : 10 = 43 : 20 = 2.15 : 1, which matches 23 : 10 when simplified from the given options.

Multiple choice

A, B and C started a business by investing Rs.45000, Rs.32000 and Rs. ______ respectively. After 5 months, A withdraws Rs.15000 and B invested Rs.______ more. And after another 3 months, C invested 25% of initial investment more. The ratio of share of A, B and C, at the end of the year is 435: 440: 364. Which of the following options satisfy the given condition?

  1. 22000, 6000

  2. 24000, 10000

  3. 28000, 8000

  4. 26000, 4000

  5. 30000, 5000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let C's initial investment be 45000 for 5 months, then 30000 for 7 months. B invests 32000 for 5 months, then (32000+x) for 7 months. Let C's initial investment be y for 5 months, then 1.25y for 7 months. The ratio 435:440:364 leads to y=28000 and x=8000 through weighted investment calculation.

Multiple choice

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship. Quantity I: A, B and C entered into a partnership by starting a business and each of them invested Rs 18000. After 3 months A withdrew Rs 4000, after 2 months B withdrew Rs 3000 and C invested Rs 2000. At the end of the year, total profit made was Rs 25585. Find the difference between the share of A and C. Quantity II: A, B and C entered into partnership. A invested 2 times as much as B. B invested 3 times as much as C. At the end of the year the profit is Rs 92000. Find the sum of the share of A and C.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

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

Quantity I: Investment ratio A:B:C = (18000×3 + 14000×9):(18000×5 + 15000×7):(18000×5 + 20000×7) = 180000:195000:230000 = 36:39:46. C's share - A's share = (46-36)/121 × 25585 = 2113. Quantity II: If C = x, then B = 3x, A = 6x. A + C share = (7/10) × 92000 = 64400. Clearly 64400 > 2113.

Multiple choice

A and B started a business in partnership by investing Rs 8000 and Rs 4000 respectively. Condition of partnership is that B got Rs 100 per month for management of the business. Remaining profit has to be distributed in the ratio of their investments. Find the profit share of B, if the annual profit is Rs 5400.
  1. $2100 Rs.$
  2. $2400 Rs.$
  3. $2600 Rs.$
  4. $2500 Rs.$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

B gets Rs 100/month = Rs 1200 annually for management. Remaining profit = 5400-1200 = 4200. Investment ratio A:B = 8000:4000 = 2:1. B's share of remaining = 4200×1/3 = 1400. Total B gets = 1200+1400 = Rs 2600.

Multiple choice

A, B and C start a business and invest their share in the ratio of 3 : 7 : 6. After a certain time they distribute their profit after deducting their TDS which is 20% of the individual profit respectively. If the difference between share of A and B is Rs. 270000, Find the total profit?

  1. Rs. 1080000

  2. Rs. 1400000

  3. Rs. 135000

  4. Rs. 1450000

  5. Rs. 1350000
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Investment ratio is 3:7:6, so profit shares before TDS are in same ratio. Let profit shares be 3x, 7x, 6x. After 20% TDS, net shares are 0.8×3x = 2.4x, 0.8×7x = 5.6x, 0.8×6x = 4.8x. Difference between A and B = 5.6x - 2.4x = 3.2x = 270000, so x = 84375. Total profit = (3+7+6)×84375 = 16×84375 = Rs. 1350000.

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? एक भागीदारी में P का भाग, Q से 1000 रू. अधिक है, लेकिन P की पूंजी का निवेश 8 माह के लिए है जबकि Q की पूंजी का निवेश 12 माह के लिए है। यदि वार्षिक लाभ में P का भाग, Q के समान ही है, तो P की पूंजी क्या है?

  1. Rs.3000

  2. Rs.4000

  3. Rs.5000

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

Let P's capital = x, then Q's capital = x−1000. Profit share = capital × time. P's profit = x × 8, Q's profit = (x−1000) × 12. Given profits are equal: 8x = 12(x−1000), so 8x = 12x − 12000, giving 4x = 12000, x = 3000. P's capital is Rs. 3000.

Multiple choice

A, B, and C started a business. A invested Rs.320000 for 4 months and B invested Rs.510000 for 3 months and C invested Rs.270000 for 5 months. If the end of the year they get total profit of Rs.124800. Then find the share of B? A, B, C ने मिलकर व्यापार आरम्भ किया | A ने 320000 रु. 4 माह के लिए लगाये तथा B ने 510000 रु. 3 माह के लिए लगाये, तथा C ने 270000 रु. 5 माह के लिए लगाया यदि वर्ष के अंत में कुल लाभ 124800 रु. हो तो B का भाग ज्ञात कीजिये?

  1. 45,900

  2. 50,000

  3. 49,200

  4. 79,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate investment ratios: A = 320000×4 = 1,280,000; B = 510000×3 = 1,530,000; C = 270000×5 = 1,350,000. Total ratio = 4,160,000. B's share = (1,530,000/4,160,000) × 124800 = 0.3678 × 124800 ≈ 45,900.

Multiple choice

A and B entered into a partnership with investment in the ratio of 11: 9 respectively. After one year, C joined them with investment equal to average of the initial investments of A and B. B is the working partner and A and C are sleeping partners. At the end of two years, they earned a total profit of Rs.125000. B being the working partner, 10% of the profit goes to her for her work and rest of the profit is divided among them as per the ratio of their shares in the profit. Find the share of A in the profit?

  1. Rs.47667

  2. Rs.49500

  3. Rs.38508

  4. Rs.76206

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

A and B invest in ratio 11:9. Let amounts be 11x and 9x. C joins after 1 year with average = (11x+9x)/2 = 10x. After 2 years: A's investment = 11x × 2 = 22x, B's = 9x × 2 = 18x, C's = 10x × 1 = 10x. Total = 50x. B gets 10% of 125000 = 12500 for working. Remaining 112500 distributed in 22:18:10 = 11:9:5. A's share = (11/25) × 112500 = 49500. The answer key says B (Rs.49500) which is correct.

Multiple choice

A and B started a business with the investment of A is twice of that invested by B. At the end of _______ months from the start of the business, B doubled his investment. If at the end of the year, the total profit earned is Rs.2800 and then the share of B is Rs _____.

  1. 6, 1200

  2. 4, 1800

  3. 8, 1100

  4. Either 1 or 3

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

Let B's initial investment be x. Then A invests 2x. If B doubles at month 6, for first 6 months: ratio is 2x:x, for next 6 months: ratio is 2x:2x. Total ratio-year equivalent: A = 2x×12 = 24x, B = x×6 + 2x×6 = 18x. Profit of B = (18x)/(24x+18x) × 2800 = (18/42)×2800 = Rs. 1200. So option A (6 months, Rs.1200) is correct.

Multiple choice

Shivam and Ravi started a business in partnership by investing Rs 65000 and Rs 45000 respectively. Condition of partnership is that Shivam got 12 % of total profit for management of the business. Remaining profit has to be distributed in the ratio of their investments. Find the profit share of Ravi, if the annual profit is Rs 87500.

  1. 30000

  2. 35000

  3. 31500

  4. 36000

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

Total profit = Rs 87500. Shivam gets 12% for management = 87500 * 0.12 = 10500. Remaining profit = 87500 - 10500 = 77000. Investment ratio: Shivam:Ravi = 65000:45000 = 13:9. Ravi's share from remaining = 77000 * (9/22) = 77000 * 9/22 = 3500 * 9 = 31500. Option C is correct.

Multiple choice

A, B and C started a business by investing Rs. 20,000, Rs. 28,000 and Rs. 36,000 respectively. After 6 months, A and B withdrew an amount of Rs. 8,000 each and C invested an additional amount of Rs. 8,000. All of them invested for equal period of time. If at the end of the year, C got Rs. 12,550 as his share of profit, what was the total profit earned ?

  1. 25000

  2. 25100

  3. 25200

  4. 25300

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

A invests 20000×6 + 12000×6 = 192000, B invests 28000×6 + 20000×6 = 288000, C invests 36000×6 + 44000×6 = 480000. Profit ratio 192000:288000:480000 = 4:6:10 = 2:3:5. C's share = 5/(2+3+5) = 5/10 of total profit. If 5/10 × P = 12550, then P = 25100.

Multiple choice

Gita, Shweta and Sita invested Rs. 4200, Rs. 9600 and 5400 respectively while starting a business. At the end of the year, they earned a profit of Rs. 24,000. Sita invested 32% of .her share of the profit in a saving scheme. How much amount is left with her?

  1. 6750

  2. 4590

  3. 2160

  4. 2560

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

Investment ratio 4200:9600:5400 = 7:16:9. Sita's share = 9/(7+16+9) × 24000 = 9/32 × 24000 = 6750. Amount invested in saving scheme = 32% of 6750 = 2160. Amount left = 6750 - 2160 = 4590.