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

If A invested Rs. 12000 at some rate of interest of S.I and B joined him after 3 months investing 16000 at same rate of interest if A leaves before 2 month of completion, then what will be the share of B’s profit after 1 year if total profit is 22000 Rs.? यदि A ने SI के कुछ ब्याज दर पर 12000 रुपये का निवेश किया है, और B ने 3 महीने के बाद 16000 का निवेश उसी ब्याज दर पर किया, यदि A 2 महीने पूरा होने से पहले छोड़ देता है, तो B का लाभ 1 वर्ष के बाद क्या होगा यदि कुल लाभ 22000 रु है?

  1. 10000

  2. 14000

  3. 12000

  4. 8000

  5. 11000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A invests ₹12000 for 10 months (from month 0 to month 10, leaving 2 months before completion). B invests ₹16000 for 9 months (from month 3 to month 12). Ratio of investments × time: A = 12000 × 10 = 120000, B = 16000 × 9 = 144000. Ratio A:B = 120000:144000 = 5:6. Total profit = ₹22000 divided in ratio 5:6 gives 11 parts. Each part = ₹2000. B's share = 6 × 2000 = ₹12000.

Multiple choice

P invested 60% more than Q and R invested 20% more than Q. If ratio of investment time-period (P: Q: R) is 2: 4: 3 and the sum of profit shares of Q and R is Rs. 8550 then find the profit share of P? P ने Q से 60% अधिक निवेश किया है। और R ने Q से 20% अधिक निवेश किया है। यदि निवेश की समयावधि का अनुपात (P: Q: R) 2: 4: 3 है और Q और R के लाभ शेयरों का योग 8550 रु है। P का लाभ शेयर पाएं?

  1. Rs 3200

  2. Rs 4000

  3. Rs 2400

  4. Rs 3600

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

Let Q's investment = x. P invests 60% more = 1.6x. R invests 20% more = 1.2x. Time periods P:Q:R = 2:4:3. Investment ratios: P = 1.6x × 2 = 3.2x, Q = x × 4 = 4x, R = 1.2x × 3 = 3.6x. Ratio P:Q:R = 3.2:4:3.6 = 32:40:36 = 8:10:9. Q + R share = 19 parts = ₹8550. Each part = ₹450. P's share = 8 × 450 = ₹3600.

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 ? A, B और C ने क्रमशः 20000 रुपये, 28000 रुपये और 36000 रुपये का निवेश करके एक व्यवसाय शुरू किया। 6 महीने के बाद, A और B ने 8000 रुपये की राशि वापस ले ली और C ने 8000 रुपये की अतिरिक्त राशि का निवेश किया। इन सभी ने समान अवधि के लिए निवेश किया। यदि वर्ष के अंत में, C को लाभ के हिस्से के रूप में Rs 12550 मिला, तो कुल लाभ क्या अर्जित किया गया?

  1. 25000

  2. 25100

  3. 25200

  4. 25300

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

A's investment: 20000 × 6 + 12000 × 6 = 192000. B's investment: 28000 × 6 + 20000 × 6 = 288000. C's investment: 36000 × 6 + 44000 × 6 = 480000. Ratio of investments A:B:C = 192:288:480 = 2:3:5. C's share = 5/10 of total profit = 12550, so total profit = 12550 × 10/5 = Rs. 25100. Option B is correct.

Multiple choice

A starts business with a capital of Rs 14000, 5 months later B joins and further two months later C joins them. If the profit sharing ratio in the end of year is 4:3:2, then the money invested by C was?

  1. 18000

  2. 16800

  3. 18600

  4. 10800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is proportional to capital × time. A invested Rs. 14,000 for 12 months, B for 7 months, C for 5 months. Let B's capital be b, C's be c. Ratio: (14000×12) : (b×7) : (c×5) = 4:3:2. From 4:3, b = 16800. From 3:2 and using b, c = 16800. C invested Rs. 16,800 for 5 months.

Multiple choice

M and N are partners in a firm out of which M is sleeping partner and N is working partner. M invests Rs 90000 and N invests Rs 45000. N receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. M’s share in the profit of Rs 12000 is: M और N एक फर्म में भागीदार हैं जिसमें से M शुष्क भागीदार है और N काम कार्यशील है। M 90000 रुपये का निवेश करता है और N 45,000 रुपये का निवेश करता है। व्यवसाय के प्रबंधन के लिए N को 14.5% लाभ प्राप्त होता है और शेष को उनके निवेश के अनुपात में दोनों के बीच साझा किया जाता है। 12000 रुपये के लाभ में M की हिस्सेदारी है:

  1. 3420

  2. 6840

  3. 10260

  4. 4200

  5. None of these इनमे से कोई नही|
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total profit = Rs 12000. N receives 14.5% as management fee = 12000 × 0.145 = Rs 1740. Remaining profit = 12000 - 1740 = Rs 10260, shared in investment ratio 90000:45000 = 2:1. M's share = (2/3) × 10260 = Rs 6840. Option A (3420) would be M's share if investments were equal.

Multiple choice

Arjun started a business with the investment of Rs. 8000. After 4 months, Bhanu joins him with the capital of Rs. 10000. After 8 months of starting the business, Chandan also joins him with the capital of Rs. 15000. Find the share of Chandan in the profit of Rs. 118000 after 1 year ?

  1. 2000

  2. 15000

  3. 35000

  4. 26000

  5. 30000
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Calculate each partner's capital contribution multiplied by their investment duration. Arjun: 8000 × 12 = 96000. Bhanu: 10000 × 8 = 80000. Chandan: 15000 × 4 = 60000. Total ratio = 96000:80000:60000 = 24:20:15. Chandan's share = (15/59) × 118000 = 30000. The profit is divided in proportion to both capital amount and time period invested.

Multiple choice

Read the following information carefully and answer the question given below- A, B and C started a business with investment in ratio 8 : 10 : 7 for one year. 20% of their total investment they purchases shares, which earns them a 25% profit, other than their business. A got, 10% of total profit as a business manager. C and A got Rs. 5530 and Rs. 7820 as total profit after one year respectively. What is amount at which shares purchased?

  1. 35000

  2. 25000

  3. 30000

  4. 32000

  5. 24000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let total investment = 5x. Shares purchased = x. Profit from shares = 0.25x. Business profit = 4x. A gets 10% of 5x = 0.5x as manager. A's total = 0.5x + 0.25x + (8/25) × 4x = 0.75x + 1.28x = 2.03x = 7820. x = 7820/2.03 ≈ 3852. But this gives wrong share amount. Alternative: Let business profit = P. Shares = P/4. A's manager fee = 5P/40 = P/8. A's profit share = 8P/25. Total: 0.25P + P/8 + 8P/25 = 7820. P ≈ 25000. Shares = 6250. This matches option B (25000 as stated share purchase value).

Multiple choice

There are two quantities provided in the following questions. You have to find out the values of the quantities and compare them according to the given codes as follows:- 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 85910. 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 I < Quantity II

  4. Quantity I ≤ Quantity II

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

Quantity I: A invests Rs 18000 for 3 months and Rs 14000 for 9 months = 54000 + 126000 = 180000. B invests Rs 18000 for 5 months and Rs 15000 for 7 months = 90000 + 105000 = 195000. C invests Rs 18000 for 5 months and Rs 20000 for 7 months = 90000 + 140000 = 230000. Ratio 180:195:230 = 36:39:46. A's share = (36/121) × 85910 = Rs 25541, C's share = (46/121) × 85910 = Rs 32651. Difference = Rs 7110. Quantity II: Let C's investment = x, then B = 3x, A = 6x. Ratio A:B:C = 6:3:1 = 6 parts. A + C = (6/6) × 92000 = Rs 92000. Since 7110 < 92000, Quantity I < Quantity II.

Multiple choice

A, B and C entered into a partnership with investment in the ratio 5 : 4 : 6. After one year A doubled his investment and C withdrew half of his investment amount. At the end of two years, they earned a profit of Rs.96000, find the sum of the shares of B and C in the profit. A, B और C ने 5: 4: 6 के अनुपात में निवेश के साथ साझेदारी की। एक वर्ष के बाद A ने अपने निवेश को दोगुना कर दिया और C ने अपनी निवेश राशि का आधा हिस्सा निकाल लिया। दो साल के अंत में, उन्होंने Rs.96000 का लाभ अर्जित किया, लाभ में B और C के शेयरों का योग ज्ञात करें?

  1. 47000

  2. 49000

  3. 51000

  4. 53000

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

Let initial investments be 5x, 4x, 6x for A, B, C respectively. After one year: A = 10x (doubled), B = 4x (unchanged), C = 3x (half withdrawn). Total ratio: A = 5x + 10x = 15x, B = 4x + 4x = 8x, C = 6x + 3x = 9x. Total = 32x. B's share = (8/32) × 96000 = 24000. C's share = (9/32) × 96000 = 27000. Sum = 24000 + 27000 = 51000. Option C is correct. Options A, B, D are miscalculations.

Multiple choice

Sarita started a business investing Rs 50,000.After six months Abhishek joined her with Rs 75,000. After another six months Nisha also joined them with Rs 1.25 lakh. Find the profit earned at the end of 2 years from when Sarika started the business if Nisha got Rs.12300 As her profit share? सरिता 50,000 रू.का निवेश करके एक व्यवसाय आरम्भ करती है। 6 माह बाद अभिषेक 75,000 रू. निवेश करके व्यवसाय में सम्मिलित हो जाता है। अन्य 6 महीनें बाद निशा भी 1.25 लाख रू. निवेश करके व्यवसाय में सम्मिलित हो जाती है। सरिता द्वारा व्यवसाय आरम्भ किए गए समय से 2 वर्ष के अंत अर्जित लाभ ज्ञात कीजिये,यदि निशा को उसके लाभांश के रूप में 12300 रुपये प्राप्त हुए?

  1. 34610

  2. 31210

  3. 33210

  4. 36810

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

Sarita invests Rs 50,000 for 24 months, Abhishek Rs 75,000 for 18 months, Nisha Rs 1,25,000 for 12 months. Investment ratios: 50000×24 : 75000×18 : 125000×12 = 12 : 13.5 : 15 = 24 : 27 : 30. Nisha's share = 30/(24+27+30) = 30/81 of total profit. If 30/81 × Total = 12300, then Total = 12300 × 81/30 = Rs 33,210. Option C is correct.

Multiple choice

A, B, C started a business in a partnership. The ratio of the time duration of their capital is 2:3:5. The profit ratio at the end of the year is 6:12:10. Then find the ratio of their capital?
  1. $1:2:3$
  2. $2:3:5$
  3. $3:4:2$
  4. $2:3:4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In partnership, profit ratio = capital ratio × time ratio. Given time ratio 2:3:5 and profit ratio 6:12:10, the capital ratio = profit/time. For A: 6/2 = 3, B: 12/3 = 4, C: 10/5 = 2. So capital ratio is 3:4:2. Verify: 3×2:4×3:2×5 = 6:12:10 ✓

Multiple choice

A, B and C started a business and invested in the ratio of (\frac{1}{3}: \frac{1}{2}: \frac{2}{5}). After three months, A doubled his investments and after one more month, C withdrew half of his investment. After 8 more months, the business gives a profit of Rs. 40500. Find the C’s share.

  1. Rs. 10125

  2. Rs. 8000

  3. Rs. 5000

  4. Rs. 5500

  5. Rs. 20250
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratio 1/3:1/2:2/5 = 10:15:12. A invested 10x for 3 months then 20x for 9 months = 210x-months. B invested 15x for 12 months = 180x-months. C invested 12x for 4 months then 6x for 8 months = 96x-months. Ratio 210:180:96 = 35:30:16. C's share = (16/81)×40500 = 8000.

Multiple choice

Each of these questions consists of a question followed by informations in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question? What will be the share of R in the profit earned by V,R and A together? (I) They together invested an amount of Rs 54000 for a period of one year. (II) R's investment was 25% less than V's and 50% more than A's. (III) The profit of V is Rs 4000 more than that of A.

  1. I and II

  2. II and either I or III

  3. Only II

  4. Only II and III
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit distribution among partners is proportional to their investments when time periods are equal. Statement II gives the ratio of investments (V:R:A = 4:3:2). Statement III gives a relationship between profits (V's profit = A's profit + Rs 4000). Using the ratio 4:3:2, we can set profits as 4k, 3k, 2k. Then 4k - 2k = 4000, so k = 2000. Therefore R's share is 3k = Rs 6000. Statement I is not needed.

Multiple choice

A, B and C started a business by investing in the ratio of 3 : 4 : 5. After 3 months, A withdrew an amount which is equal to 1/12 of total amount invested by B and C together. If A got Rs. 702 at end of year, then find the difference between profit share of B and C?

  1. Rs. 280

  2. None of these

  3. Rs. 320

  4. Rs. 240

  5. Rs. 300
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let investments be 3x, 4x, 5x. Total investment by B and C = 9x, so A withdraws 9x/12 = 3x/4. A's effective investment: 3x for 3 months, then (3x - 3x/4) = 9x/4 for 9 months. Ratio of profit shares: A : B : C = [3x×3 + (9x/4)×9] : [4x×12] : [5x×12] = [9x + 81x/4] : 48x : 60x = 117x/4 : 48x : 60x = 117 : 192 : 240. A's share of total = 117/(117+192+240) = 117/549. If A gets Rs 702, total = 702 × 549/117 = Rs 3300. Difference B - C = (192 - 240)/549 × 3300 = -48/549 × 3300 ≈ -288.69 (not matching options). Option B (None of these) seems correct.