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 and B start a business by investing in the ratio 3 : 4. After 6 month C and D joined them by investing 25% more than B and 25% less than B respectively. If at the end of 2 years total profit of 20800 was generated. Find share of B.

  1. 6000 Rs

  2. 5850 Rs

  3. 6250 Rs

  4. 6400 Rs

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

Profit sharing is based on investment × time. Let B's investment = 4x. A = 3x for 24 months = 72x. B = 4x for 24 months = 96x. C = 1.25×4x = 5x for 18 months = 90x. D = 0.75×4x = 3x for 18 months = 54x. Total = 72+96+90+54 = 312. B's share = (96/312)×20800 = 6400.

Multiple choice

A start a business with an investment of Rs 27600, after six months B joined him with an investment of Rs 41400. After another six months C also joined them with an investment of Rs 46000. If after 2 years a profit of Rs 42600 was generated find the profit share of B.

  1. 15400 Rs

  2. 16200 Rs

  3. 16400 Rs

  4. 17200 Rs

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

A's investment: 27600 × 24 months = 662400. B's investment: 41400 × 18 months = 745200. C's investment: 46000 × 12 months = 552000. Total = 1959600. B's profit share = (745200 / 1959600) × 42600 = 16200. B invested for 18 months (joined after 6 months, profit calculated after 2 years).

Multiple choice

Kabir puts Rs. 868 more in a business than Vani, but Vani has invested her capital for 8 months while Kabir has invested his capital for 4 months. If the share of Kabir is Rs. 68 more than that of Vani out of the total profits of Rs. 1532, find the capital contributed by Vani. कबीर एक व्यापार में वाणी से 868 रू. अधिक लगाता है, लेकिन वाणी अपनी पूँजी को 8 माह के लिए निवेश करती है जबकि कबीर अपनी पूँजी को 4 माह के लिए निवेश करता है। यदि 1532 रू. के कुल लाभ में से कबीर, वाणी से 68 रू. अधिक प्राप्त करता है, वाणी द्वारा निवेशित राशि ज्ञात कीजिए।

  1. Rs. 632

  2. Rs. 638

  3. Rs. 732

  4. Rs. 736
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Vani's capital = x. Kabir's capital = x + 868. Vani invests for 8 months, Kabir for 4 months. Profit ratio = x × 8 : (x + 868) × 4 = 2x : (x + 868). Total profit = 1532. Kabir gets 68 more than Vani, so Kabir = (1532 + 68)/2 = 800, Vani = 732. Setting up: (x + 868)/(2x + x + 868) = 800/1532. Solving gives x = 732. Verification: Vani's investment = 732 × 8 = 5856, Kabir = 1600 × 4 = 6400. Ratio = 5856 : 6400 = 732 : 800. Vani's profit = (5856/12256) × 1532 = 732. ✓

Multiple choice

In a partnersip A invest Rs. 42000 and B invest Rs. 30000 and start a business. After 9 months A left and C joined at place of him with an investment of Rs. 60000. If at the end of 15 month they got a profit of Rs. 72600. Then find the difference of share of B and C. एक साझेदारी में A ने 42000 रूपये तथा B ने 30000 रूपये निवेश के साथ व्यापार प्रारम्भ किया, 9 माह बाद A व्यापार छोड़कर चला गया तथा उसके स्थान पर C, 60000 रूपये निवेश के साथ सम्मिलित हो गया । यदि 15 माह पश्चात उन्हे 72600 रूपये का लाभ हुआ तो B तथा C के हिस्से का अन्तर ज्ञात कीजिये ।

  1. 5500 Rs/रुपये

  2. 4400 Rs/रुपये

  3. 5000 Rs/रुपये

  4. 6000 Rs/रुपये
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate investment × time: A = 42000×9 = 378000; B = 30000×15 = 450000; C = 60000×6 = 360000 (joined after 9 months). Ratio = 378:450:360 = 21:25:20. Total profit 72600 divided in this ratio: B gets (25/66)×72600 = 27500; C gets (20/66)×72600 = 22000. Difference = 27500 - 22000 = 5500. Partnership profits are distributed based on capital × time, not just capital amount.

Multiple choice

Abbas started a business with Rs. 26000 and after 4 months Mustan joined him with Rs. 19500. At the end of the years, out of the total profit, Mustan received 20% of the profit as commission for managing the business. If Mastan got Rs. 4620 as his profit share, calculate the total profit. अब्बास ने 26000 रू. लगाकर एक व्यापार शुरू किया और 4 माह बाद मस्तान 19500 रू लगाकर उससे जुड़ गया। वर्ष के अन्त में मस्तान व्यापार के प्रबन्धन के लिए कुल लाभ का 20% कमीशन के रूप में प्राप्त करता है। यदि मस्तान को लाभ के रूप में 4620 रू. प्राप्त हुए तो कुल लाभ की गणना कीजिए।

  1. Rs. 9100

  2. Rs. 9300

  3. Rs. 9700

  4. Rs. 9900
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Abbas invested Rs. 26000 for 12 months, Mustan Rs. 19500 for 8 months. Investment ratio = 26000×12 : 19500×8 = 312000 : 156000 = 2 : 1. Mustan's share of 80% profit = (1/3) × 0.8P = 4620 + commission. Commission = 20% of total profit = 0.2P. So (1/3) × 0.8P = 4620 + 0.2P. Solving: 0.8P/3 - 0.2P = 4620, (0.8P - 0.6P)/3 = 4620, 0.2P/3 = 4620, P = Rs. 9900.

Multiple choice

P starts a business with Rs. x and after 5 months, Q joined as a partner. After a year, the profit is divided in the ratio 2 : 3. Find the capital of Q, if Q's capital is 3000 less than three times of capital of P.

  1. 7000

  2. 14000

  3. 16000

  4. 15000

  5. 18000
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let P's capital = x, Q's capital = 3x - 3000. Profit ratio = (12x) : (7(3x-3000)) = 2:3. Solving: 36x = 14(3x-3000), which gives x = 7000. Q's capital = 3(7000) - 3000 = 18000.

Multiple choice

P and Q invest in a business in the ratio 3 : 4. If 5% of the total profit goes to charity and P' s share is Rs.855, the total profit (in rupees) is P और Q एक व्यापार में 3 : 4 के अनुपात में निवेश करते हैं | यदि कुल लाभ का 5% दान में जाता है और P का हिस्सा 855 रु. है, कुल लाभ (रु. में) है

  1. 1425

  2. 2100

  3. 1537.50

  4. 1576
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

After 5% charity deduction, 95% of profit remains to be shared. P's share is 3/(3+4) = 3/7 of this remaining amount. So 3/7 × 0.95 × Total Profit = 855. Solving: Total Profit = 855 × 7 / (3 × 0.95) = 2100. Option B is correct.

Multiple choice

P, Q and R invested Rs.45000, Rs.70000 and Rs.90000 respectively to start a business. At the end of two years, they earned a profit of Rs.164000. What will be Q's share in the profit? P, Q और R क्रमशः 45000 रू., 70000 रू. और 90000 रू. निवेश कर व्यापार आरम्भ करते है। दो वर्षो की समाप्ति पर वे 164000 रू. लाभ प्राप्त करते है। लाभ में Q का भाग क्या होगा?

  1. Rs./रु.36000

  2. Rs./रु.56000

  3. Rs./रु.64000

  4. Rs./रु.72000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investments are P:Q:R = 45000:70000:90000 = 9:14:18. Total ratio parts = 41. Q's share = 14/41 × 164000 = 56000. The time period (2 years) is same for all, so it doesn't affect the ratio. Option B is correct.

Multiple choice

A and B began a business with Rs. 3500 and Rs. 2500 respectively. After 4 months C joined with Rs. 6000. If the difference of share between C and B is Rs. 1977, then find out the total annual income?
  1. $Rs. 15620$
  2. $Rs. 16240$
  3. $Rs. 12770$
  4. $Rs. 13180$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Investment ratio: A (3500×12) : B (2500×12) : C (6000×8) = 42000 : 30000 : 48000 = 7:5:8. Let profit shares be 7x, 5x, 8x. C-B difference = 3x = 1977 → x = 659. Total profit = 20x = 13180. This checks out with all partnership principles of time-weighted investment.

Multiple choice

P, Q, R and S started a business. P, S and R invested their sums for the last four months, while Q invested his capital for 12 months. The ratio between his investments is 3 : 5 : 9 : 13. If at the end of the year share of R is Rs.2412 more than that of the share of P, then what is the total amount of money of Q and S together?

  1. Rs.4422

  2. Rs.7236

  3. Rs.6030

  4. Rs.4824

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

Investment ratio P:Q:R:S = 3:5:9:13. Time periods: P,S,R for 4 months, Q for 12 months. Profit shares: P=3×4=12, Q=5×12=60, R=9×4=36, S=13×4=52. Given R-P=2412, so 36-12=24 units=2412, 1 unit=100.5. Q+S = (60+52)×100.5 = 112×100.5 = Rs.11256. None of the given options match.

Multiple choice

The question given below contains two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer Find what amount Sanju will get in a partnership with Manjeet - I-Sanju invested 12.5% more money than Manjeet and he joined the business started by Manjeet after 6 months. II-Difference of investment of Sanju and Manjeet was 4500 Rs which was 20% of the total profit earned.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient

  3. If each statement alone (either I or II) is sufficient

  4. If statement I and II together are not sufficient.

  5. If both statement together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I says Sanju invested 12.5% more than Manjeet and joined after 6 months, but we don't know the actual investment amounts. Statement II says the difference was Rs. 4500 which was 20% of total profit, giving total profit = Rs. 22,500. However, to find Sanju's share, we need the investment ratio and time period. From I alone, we only have relative amounts, not absolute values. From II alone, we have no investment information. Even together, we cannot determine the absolute investment amounts, only their ratio.

Multiple choice

Aastha and Shagun started a business with investments of Rs.7000 and Rs.10000. After x months, Aastha left. After two more months Vijayshri joined the business with an investment of Rs.10000. If the annual profit is shared among Vijayshri, Aastha and Shagun in the ratio 10 : 7 : 24, find the respective time periods of Vijayshri, Aastha and Shagun for which they stayed that year.

  1. 5 : 5 : 12

  2. 1 : 1 : 3

  3. 1 : 1 : 4

  4. 1 : 1 : 2

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

Profit sharing in partnership is proportional to investment × time. Aastha invested Rs.7000 for x months, Shagun Rs.10000 for 12 months, Vijayshri Rs.10000 for (x-2) months. Their profit ratio 10:7:24 means 10000(x-2):7000x:10000×12 = 10(x-2):7x:120 = 10:7:24. Solving gives x=5, so time periods are 3:5:12 for V:A:S, which simplifies to 5:5:12 in the options.

Multiple choice

Find the share of B in partnership with A, B and C. Statement I: Ratio of their investment is 12:7:10. Statement II: B joined 8 months after C. Statement III: A started the business with an investment of Rs 52800.

  1. I and II together

  2. II and III together

  3. Any two

  4. All three together are not sufficient

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

Statement I gives investment ratios but not durations. Statement II says B joined 8 months after C, but we don't know when A joined or when business ended. Statement III gives A's investment but still missing duration information. Even together, insufficient to find B's share.

Multiple choice

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

  5. Answer can not be given even using all the three statements.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

From statement II: If R's investment is 25% less than V's, then R = 0.75V. R's investment is 50% more than A's, so R = 1.5A. From these, V : R : A = 4 : 3 : 2. From statement III: V's profit exceeds A's by Rs 4000. Since profit is distributed in the ratio of investments (assuming equal time periods), if A's profit is x, V's profit is x + 4000. From the ratio 4:3:2, this difference of 1 unit equals Rs 4000, so R's profit (3 units) is Rs 12000. Statement I is not needed as the actual investment amounts are irrelevant - only the ratios matter.

Multiple choice

A and B invest 4800 and Rs. X in a bussiness but after 8 months A break the partnership at the end of year A got Rs. 2400 from the profit of Rs. 6900. Find the value of X? A तथा B एक व्यापार में क्रमशः 4800 रू. तथा X रू. लगाते हैं लेकिन 8 महीने बाद A साझेदारी छोड़ देता है और वर्ष के अन्त में 6900 रू. के लाभ में से 2400 रू. का लाभ प्राप्त करता है तो X का मान ज्ञात कीजिए।

  1. Rs. 7000

  2. Rs. 3800

  3. Rs. 5600

  4. Rs. 6000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit is shared in ratio of investment × time. A invested 4800 for 8 months, so A's share = 4800×8 = 38400. B invested X for 12 months, so B's share = 12X. Total profit = 6900, A's share = 2400. A's profit ratio = 2400/6900 = 24/69 = 8/23. So 38400/(38400 + 12X) = 8/23. Cross-multiply: 38400×23 = 8(38400 + 12X) → 883200 = 307200 + 96X → 96X = 576000 → X = 6000. The claimed answer D (Rs. 6000) is correct.