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

In each of the following question, a question is followed by information given in two statement named as Quantity-I(Q1) and Quantity –II (Q2). You have to study the information along with the question and compare the value derived from Quantity-I and Quantity-II. Then answer - निम्नलिखित प्रश्नों में प्रत्येक प्रश्न के लिए कुछ सूचना एवं दो कथन परिमाण- I(Q1) और परिमाण- II (Q2) में दी गयी हैं। आप प्रश्न सहित सूचना का अध्ययन कर परिमाण- I और परिमाण- II से प्राप्त मानों की तुलना कीजिये और उत्तर दीजिये - A starts a business by investing some amount. B joins here after 4 months investing 50% more amount than A. C joins them for last 4 months by investing amount equal to 60% of total amount of A and B together. If they got annual profit of Rs 50000 then A कुछ राशि का निवेश कर एक व्यवसाय आरम्भ करता है। B इसमें 4 माह बाद A से 50 % अधिक पूंजी लगाकर शामिल हो जाता है। C उनके साथ A और B की कुल पूँजी का 60% निवेश कर अंतिम 4 माह के लिए शामिल हो जाता है। यदि वे 50000 का वार्षिक लाभ प्राप्त करते हैं तो; Q1 =difference between shares of A and B Q2 =difference between shares of B and C Q1 = A और B के लाभ के हिस्से का अंतर Q2 = B और C के लाभ के हिस्से का अंतर

  1. Q2 > Q1

  2. Q1 ≥ Q2

  3. Q1 > Q2

  4. Q1 ≤ Q2

  5. Q1 = Q2
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's investment be x for 12 months, B's investment be 1.5x for 8 months, and C's investment be 1.5x (60% of 2.5x) for 4 months. Their profit shares are proportional to investment × time: A gets 12x, B gets 12x, and C gets 6x. Since A and B have equal shares, Q1 = 0. Since B and C's shares differ by the same as A and B's shares (which is zero), Q2 = 0. Therefore Q1 = Q2, so Q1 ≤ Q2 is true (option A).

Multiple choice

Sanjay and Tanmay entered into a partnership for a year in which Sanjay invested Rs 120000 and Tanmay invested Rs 70000. After 4 months, Sanjay invested Rs 80000 more whereas after 5 months, Tanmay invested Rs 30000 more. When two months were left Sweta also joined investing Rs 400000 as her contribution. If the profit for the year was 12.5% of 1572000, find the share of Sanjay, Tanmay and Sweta.

  1. Rs 40000, Rs 104000, Rs 52500

  2. Rs 104000, Rs 52500, Rs 40000

  3. Rs 52500, Rs 40000, Rs 104000

  4. Rs 78420, Rs. 48645, Rs. 48770

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

Profit = 12.5% of 1572000 = 196500. Calculate capital-months: Sanjay = 120000×4 + 200000×8 = 1680000; Tanmay = 70000×5 + 100000×7 = 1050000; Sweta = 400000×2 = 800000. Ratio 168:105:80 = 33.6:21:16. Total units = 70.6. Sanjay = (33.6/70.6)×196500 ≈ 93600. Wait, recalculating: using exact ratio, Sanjay: 168/353×196500 = 93600; Tanmay: 105/353×196500 = 58500; Sweta: 80/353×196500 = 44500. But options suggest different numbers. Using simpler ratio: 168:105:80. Total 353. Sanjay: 168/353×196500 ≈ 93600. This doesn't match. Let me re-check months: Sanjay 4 months at 120k, 8 months at 200k = 480k+1600k = 2080k. Tanmay 5 months at 70k, 7 months at 100k = 350k+700k = 1050k. Sweta 2 months at 400k = 800k. Ratio 208:105:80 = 393 total. Sanjay: 208/393×196500 = 104000. Tanmay: 105/393×196500 = 52500. Sweta: 80/393×196500 = 40000.

Multiple choice

A and B entered into a partnership, in which A is active partner. A invests Rs. 4000 and Rs. 2000 more after 8 months. B invests Rs. 5000 and withdraws Rs. 2000 after 9 months. Being the active partner, A takes Rs. 100 per month as salary, from the profit. What is the share of B if the total profit at the end of the year is Rs.6700?

  1. Rs. 3350

  2. Rs. 3250

  3. Rs. 2700

  4. Rs. 2800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate each partner's effective investment over time. A invests Rs 4000 for 12 months and Rs 2000 for 4 months = 56000. B invests Rs 5000 for 9 months and Rs 3000 for 3 months = 57000. Their profit-sharing ratio (excluding salary) is 56:57. A takes Rs 1200 as salary, leaving Rs 5500 divisible profit. A gets (56/113) x 5500 + 1200 = Rs 4000, B gets (57/113) x 5500 = Rs 2700.

Multiple choice

A, B and C enter into a partnership such that C invests 40\% of the capital for one fourth of the time, B invests 25\% of the capital for 75\% of the time and A invests the rest of the capital for the whole time. If A's share of profit is Rs. 44520, then find the difference between B's share and C's share (in rupees).

  1. 11100

  2. 12230

  3. 13420

  4. 11130
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total capital be 100. A invests 35% for 12 months, B invests 25% for 9 months, C invests 40% for 3 months. Profit ratio: A:B:C = 35×12 : 25×9 : 40×3 = 420:225:120 = 84:45:24 = 28:15:8. Total = 51 parts. A's share (28 parts) = Rs.44520, so 1 part = 1590. B - C = 15 - 8 = 7 parts = 7×1590 = 11130.

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: In a 2 year business, A invested for full time, B invested 2 months more than C. Amount invested by A, B and C is in ratio 4 : 5 : 6. C got the salary as 1% per month of total profit till the time he was in business and 6% of total profit was donated. Their total profit was Rs. 150000/- & salary share of C is Rs. 27000. Find the share of C. Quantity II: In an annual partnership, Rahul invested for 3 more months than Arun. Arun invested 40% of amount invested by Rahul. Profit share obtained by Arun is Rs. 20250. Find the profit share of Rahul.

  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 No relation
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Complex partnership problem with multiple variables - investment amounts 4:5:6, time investments, salary, and donation. Without complete information about time periods and precise salary calculation details, exact C's share cannot be determined uniquely. Quantity II: Rahul-Arun partnership with time and amount ratios. Arun's profit share known, Rahul's unknown. Without complete time/amount data, Rahul's share cannot be calculated. Both quantities have insufficient information for unique solution, so no valid comparison can be made.

Multiple choice

A and B are partners in a business. They invest in the ratio of 5 : 6; at the end of 8 months A withdraws. If they receive profits in the ratio of 5 : 9, then find how long B’s investment was used.

  1. 12 months

  2. 10 months

  3. 14 months

  4. 15 months
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit ratio in partnership equals investment ratio weighted by time. A's investment: 5×8 = 40, B's investment: 6×t where t is months. Profit ratio 5:9 means 40/6t = 5/9, so 360 = 30t, giving t = 12 months. Option B (10 months) and C (14 months) are calculation errors.

Multiple choice

A, B and C started a business. Twice the investment of A is equal to thrice the investment of B and also five times the investment of C. If the total profit after a year is Rs. 15.5 lakhs, then the share of B in the profit is (in Rs. lakhs):

  1. 5

  2. 2.5

  3. 3

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

From 2A = 3B, we get A:B = 3:2. From 2A = 5C, we get A:C = 5:2. Combining with A=15, we get A:B:C = 15:10:6. Total parts = 31. B's share = (10/31) × 15.5 = 5 lakhs. The profit is distributed in proportion to investment ratios since all invested for equal time (1 year).

Multiple choice

X and Y enter into a partnership with capital in the ratio 3 ∶ 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in Rs. lakhs) of X in the annual profit of Rs. 6.84 lakhs?

  1. 3.12

  2. 3.6

  3. 3.72

  4. 4.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let X = 3x, Y = 5x. For first 5 months: X invests 3x, Y invests 5x. For next 7 months: X invests 4.5x (50% more), Y invests 2x (60% withdrawn). Equivalent investments: X = 3x×5 + 4.5x×7 = 46.5x, Y = 5x×5 + 2x×7 = 39x. Ratio is 46.5:39 = 31:26. X's share = (31/57) × 6.84 = 3.72 lakhs.

Multiple choice

Ram and Shyam entered into a partnership with initial investments of Rs. 2500 and Rs. 3000. After 1 year, Ram withdrew 20% and Shyam withdrew 50% of their investments. At the end of 3 years, total profit is Rs. 12500. Then, find the profit share of Ram (in rupees).

  1. 4589

  2. 5000

  3. 5500

  4. 6500

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

Ram's investment: Year 1: 2500, Years 2-3: 2500×0.8=2000. Total=2500+2000+2000=6500. Shyam's investment: Year 1: 3000, Years 2-3: 3000×0.5=1500. Total=3000+1500+1500=6000. Profit ratio=6500:6000=13:12. Ram's share=(13/25)×12500=6500. Option D is correct.

Multiple choice

A, B and C started a business by investing Rs. 13,750, Rs. 16,250 and Rs. 18,750, respectively. If B's share in the profit earned by them is Rs. 5,200, what is the total profit (in Rs.) earned by them together?

  1. 15600

  2. 17500

  3. 16600

  4. 18200
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Investments are in ratio 13,750 : 16,250 : 18,750 = 55 : 65 : 75 (dividing by 250). Total ratio parts = 195. B's share = 65/195 = 1/3 of total profit. If B's profit is Rs. 5,200, then total profit = 5,200 × 3 = Rs. 15,600.

Multiple choice

A and B entered into a partnership with investments of Rs 24000 and Rs 30000 respectively. After 4 months A left from the business at the same time C joins with Rs 36000. At the end of 16 months they got Rs 7350 as profit. Find the share of C. A और B ने क्रमशः 24000 रुपये और 30000 रुपये के निवेश के साथ साझेदारी की। 4 महीने के बाद A व्यवसाय छोड़ देता है उसी समय C 36000 रुपये के साथ जुड़ता है। 16 महीने के अंत में उन्हें कुल लाभ 7350 रुपये मिलते हैं। C का हिस्सा ज्ञात करे।

  1. 3200

  2. 3350

  3. 3300

  4. 3150

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

A invests 24000 for 4 months, then leaves. B invests 30000 for 16 months (entire period). C joins after 4 months with 36000 for remaining 12 months. Investment ratios: A = 24000 × 4 = 96000, B = 30000 × 16 = 480000, C = 36000 × 12 = 432000. Ratio A:B:C = 96:480:432 = 2:10:9. Total ratio = 21. C's share = (9/21) × 7350 = 3150. Option D is correct.

Multiple choice

The three business partner A, B and C invest their capital in the ratio of 6:4:11 in a business. After two months A half his capital and B doubles his capital and C remain untouched his capital. At the end of year the total profit gained was 1441 million dollar. Then find the amount that B will get(in million dollar)? तीन बिजनेस पार्टनर A, B और C एक बिजनेस में 6: 4: 11 के अनुपात में अपनी पूंजी लगाते हैं। दो महीने बाद A अपनी पूंजी को आधा कर लेता है तथा B अपनी पूंजी को दोगुनी कर देता है और C अपनी पूंजी को अछूता छोड़ देता है। वर्ष के अंत में प्राप्त कुल लाभ 1441 मिलियन डॉलर था। फिर वह राशि ज्ञात करें जो B को मिलेगा (मिलियन डॉलर में)?

  1. 384

  2. 484

  3. 584

  4. 684

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

A:B:C initial investment ratio = 6:4:11. Let investments be 6x, 4x, 11x. After 2 months, A halves to 3x for 10 months, B doubles to 8x for 10 months, C remains 11x for 10 months. Total weighted investments: A = 6x×2 + 3x×10 = 42x, B = 4x×2 + 8x×10 = 88x, C = 11x×12 = 132x. Ratio A:B:C = 42:88:132 = 21:44:66. Total = 131. B's share = (44/131) × 1441 = 484. Option B is correct.

Multiple choice

In a partnership business, B's capital was one fourth of A's. If after 5 months, B withdrew one fourth of his capital and after three more months, A withdrew half of his capital. What is the profit-sharing ratio of A and B?

  1. 120:29

  2. 99:25

  3. 4:1

  4. 160:41
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A's capital = 4x, so B's capital = x (one fourth). After 5 months, B withdraws 1/4, so B's remaining capital = 3x/4. After 3 more months (8 months total), A withdraws half, so A's remaining capital = 2x. This continues till 12 months. Profit ratio = (capital × time): A = 4x×8 + 2x×4 = 32x + 8x = 40x. B = x×5 + (3x/4)×7 = 5x + 21x/4 = 20x/4 + 21x/4 = 41x/4. Ratio A:B = 40x : 41x/4 = 40 : 41/4 = 160 : 41.

Multiple choice

A, B and C start a business with a sum of Rs. 50,000. A invests Rs. 4,000 more than B and B invests Rs. 5,000 more than C. What will be A’s share if the total profit is Rs. 35,000?

  1. Rs. 14,700

  2. Rs. 35,000

  3. Rs. 35,490

  4. Rs. 36,500

  5. Rs. 45,200
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let C's investment be x. Then B invests x + 5000 and A invests (x + 5000) + 4000 = x + 9000. Total: x + (x + 5000) + (x + 9000) = 3x + 14000 = 50000, so 3x = 36000 and x = 12000. Therefore A:B:C = 21000:17000:12000 = 21:17:12. A's share = (21/50) × 35000 = Rs 14700.