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 invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit (in rupees) is - A और B ने एक व्यवसाय में 3 : 2 के अनुपात में निवेश किया। यदि कुल लाभ का 5% दान में चला जाता है और A का हिस्सा 855 रू. है तो कुल लाभ (रूपयों में) है।

  1. 1425

  2. 1500

  3. 1537.50

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

A and B invest in ratio 3:2, so A gets 3/5 of distributed profit. After 5% charity, 95% remains. A's share = 95% × 3/5 = 57% of total profit. If A gets Rs. 855, then 57% of total = 855. Total profit = 855 / 0.57 = Rs. 1500.

Multiple choice

Mukesh and Suresh started a business by investing Rs. 12000 and Rs. 15000 respectively. After 8 months Suresh left the business and at the end of the year the total profit is Rs. 2990. What is the difference between the share of both?

  1. 890

  2. 910

  3. 970

  4. 980

  5. 990
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit is distributed in ratio of investment × time. Mukesh: 12000 × 12 = 144000. Suresh: 15000 × 8 = 120000. Ratio is 144:120 = 6:5. Total profit = 2990. Suresh's share = 2990 × 5/11 = 1360, Mukesh's = 2990 × 6/11 = 1630. Difference = 1630 - 1360 = 980. Option D is correct.

Multiple choice

A working partner gets 25% as his commission of the profit after his commission is paid. If the working partner's commission is Rs. 10000, then what is the total profit in the business?

  1. 40000

  2. 45000

  3. 50000

  4. 60000

  5. 65000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The working partner gets 25% commission AFTER his commission is paid. This means: Commission = 25% × (Total Profit - Commission). Let commission be C and total profit be P. Then C = 0.25(P - C), so C = 0.25P - 0.25C, giving 1.25C = 0.25P, or P = 5C. Given C = Rs. 10000, P = Rs. 50000. Option C is correct.

Multiple choice

The capital of a company is made up of 50000 prefered shares with dividend of 20% and 200000 common shares, the par value of each type of share being Rs. 10. The company had a total profit of Rs. 180000 out of which Rs. 30000 was kept in reserve fund and the remaining is distributed to common shareholder. Find the dividend percent to the common share holder?

  1. 2.5%

  2. 5%

  3. 10%

  4. 20%

  5. 25%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Preference shares: 50000 shares, Rs.10 par value, 20% dividend = 50000 × 10 × 0.20 = Rs.100000. Common shares: 200000 shares, Rs.10 par value. Total profit = Rs.180000. After Rs.30000 reserve and Rs.100000 preferred dividend, remaining for common = 180000 - 30000 - 100000 = Rs.50000. Common dividend % = 50000/(200000×10) = 50000/2000000 = 0.025 = 2.5%. Subtract preferred dividend and reserve from profit, divide by common share capital.

Multiple choice

X and Y are partners in a business. They invest in the ratio 5 : 6, at the end of 8 months X withdraws his capital. If they receive profits in the ratio of 5 : 9. Find how long Y's investment has been used? X तथा Y ने एक व्यापार में क्रमशः 5 : 6 के अनुपात में पूँजी निवेश की 8 माह के बाद X ने अपनी पूँजी वापस निकाल ली। यदि उन्हें 5 : 9 के अनुपात में लाभ प्राप्त हुआ हो, तो ज्ञात करें Y ने अपनी पूँजी कितने समय के लिये निवेश की?

  1. 12 months / माह

  2. 10 months / माह

  3. 15 months / माह

  4. 14 months / माह
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X invests 5 parts for 8 months. Y invests 6 parts for t months. Profit ratio = 5:9. Using profit sharing ratio: (5×8)/(6×t) = 5/9. So 40/(6t) = 5/9, cross-multiplying: 360 = 30t, so t = 12 months. Y invested for 12 months total.

Multiple choice

The investments made by x and y are in the ratio 3 : 2. If 5% of total profit is donated and x gets Rs. 8550 as his share of profit then what is the amount of total profit ? x तथा y अपनी पूँजी क्रमशः 3 : 2 के अनुपात में निवेश करते हैं। यदि कुल लाभ का 5% दान पात्र में जमा किया गया तथा x ने 8, 550 का लाभ प्राप्त किया, तो कुल लाभ ज्ञात कीजिए ?

  1. Rs. 14000

  2. Rs. 15000

  3. Rs. 11050

  4. Rs. 12020
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

x and y invest in ratio 3:2, so their profit share ratio is also 3:2. After donating 5%, 95% of total profit is distributed. Let total profit = P. Then x's share = (3/5) × 0.95P = 8550. Solving: 0.57P = 8550, so P = 8550/0.57 = Rs. 15000.

Multiple choice

P starts a business with an initial investment of Rs.9000. After 4 months, Q enters into the partnership with an investment of Rs.12000. Again after two months R enters with an investment of Rs.15000. If R receives Rs.922.5 in the profit at the end of the year, what is the total annual profit? P रु.9000 का प्रारम्भिक निवेश करके एक व्यापार की शुरुआत करता है | चार माह बाद, Q रु.12000 का निवेश करके साझे में आ जाता है | पुनः 2 माह बाद R रु.15000 का निवेश करके साझे में आ जाता है | यदि R वर्ष के अंत में रु.922.5 लाभ के रूप में प्राप्त करता है, कुल वार्षिक लाभ क्या है ?

  1. Rs./रु.3013.5

  2. Rs./रु.3163.5

  3. Rs./रु.3263.5

  4. Rs./रु.3040
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

P invests Rs.9000 for 12 months, Q invests Rs.12000 for 8 months, R invests Rs.15000 for 6 months. Ratio of investments = 9000×12 : 12000×8 : 15000×6 = 108000 : 96000 : 90000 = 12 : 10.67 : 10. R's share = 922.5, so 10 units = 922.5. Total profit = (12 + 10.67 + 10) × 92.25 = 32.67 × 92.25 ≈ Rs.3013.5.

Multiple choice

A, B and C enter into a partnership. A invests Rs. 4000/- for the whole year, B puts in Rs. 6000/- at first and increasing it to Rs. 8000/- at the end of 4 months, while C puts in at first Rs. 8000/- but withdraws Rs. 2000/- at the end of 9 months. If At thge end of the year the total profit of Rs. 16950 then Find the share of B ?

  1. 6600

  2. 3200

  3. 4400

  4. 4500

  5. 5500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In partnership, profit is shared in ratio of investment × time. A: 4000 × 12 = 48000. B: 6000 × 4 + 8000 × 8 = 24000 + 64000 = 88000. C: 8000 × 9 + 6000 × 3 = 72000 + 18000 = 90000. Ratio A:B:C = 48:88:90 = 24:44:45. Total profit = 16950. B's share = (44/113) × 16950 = Rs. 6600.

Multiple choice

A and B started a business in a partnership investing in the ratio of 7 : 9. After 3 months A withdraw2/3 of its investment and 4 months after the begining B withdraw 1/3 of its investment. If a total earned profit is Rs. 10201 at the end of 9 months. What will be the share of each of them ? A तथा B क्रमशः 7 : 9 के अनुपात में पूंजी साझेदारी में निवेश करते हैं। तीन महीने बाद A अपनी पूंजी का 2/3 भाग निकाल लेता है तथा प्रारम्भ से चार माह के बाद B अपनी पूंजी का 1/3 भाग निकाल लेता है। यदि 9 माह के अन्त में कुल 10201 का लाभ हुआ हो, तो उनमें से प्रत्येक का हिस्सा क्या होगा ?

  1. 3535, 6666

  2. 3055, 5555

  3. 4503, 1345

  4. 3545, 3333
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit sharing ratio = A's equivalent months : B's equivalent months. A: 7×3 + 7×(1/3)×6 = 21 + 14 = 35. B: 9×4 + 9×(2/3)×5 = 36 + 30 = 66. Ratio = 35:66. Total profit = 10201. A's share = (35/101) × 10201 = 3535. B's share = (66/101) × 10201 = 6666. Check: 3535 + 6666 = 10201. Key point: after withdrawal, remaining investment continues for remaining period.

Multiple choice

Meena, Manita and Mamta started a business. 40% of the total investment was investment by Meena and Mamta invested (2/3) of the total sum invested by Meena and Manita. If Manita invested (1/5) of the total investment then what will be the share of Mamta in the total profit of Rs.8855.

  1. Rs.3542

  2. Rs.3238

  3. Rs.2828

  4. Rs.3628
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total investment = T. Meena invested 0.4T alone. Mamta = (2/3) of (Meena + Manita) = (2/3) × 0.6T = 0.4T. Since Manita = 0.2T and Meena + Manita = 0.8T, then Meena = 0.6T. So Meena = 0.6T, Mamta = 0.4T, Manita = 0.2T. Ratio = 3:2:1. Mamta's share = (2/6) × 8855 = Rs.3542 (rounding).

Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? Mark answer- Rekha and Nutan started a business. At the end of the year the profit was Rs 6000. What is the difference between the share of Rekha and Nutan? (I) Rekha invested Rs 5000 and withdraw Rs 1000 after 4 months. (II) For the last 8 months, Nutan’s capital was 125% of Rekha.

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

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

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

  4. statement I and II together are not sufficient.

  5. 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 alone is insufficient because we don't know Nutan's investment or time period. Statement II alone is insufficient because we don't know the absolute values, only percentages. Even together, we don't have complete information about initial investments and time periods to calculate exact profit shares.

Multiple choice

A, B and C entered into a partnership with Rs 3000, Rs 2000 and Rs 4000 respectively. 8 months from the commencement of their business B invested certain amount more and C withdrew certain amount in the ratio 4:1. If at the end of the year the amount of profit received by A and B together and the amount of profit received by B and C together is equal, then find the amount withdrew by C after 8 months?

  1. 1000

  2. 1100

  3. 700

  4. 3000

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

A's investment for full year = 3000 × 12 = 36000. Let B add 4x and C withdraw x after 8 months. B's investment = 2000×8 + (2000+4x)×4 = 24000+16x. C's investment = 4000×8 + (4000-x)×4 = 48000-4x. Profit A+B = Profit B+C means 36000 + 24000+16x = 24000+16x + 48000-4x. Solving gives 4x=12000, so x=3000. C withdrew Rs 3000.

Multiple choice

P and Q entered into a partnership investing Rs.16000 and Rs.12000 respectively. After 3 months P withdrew Rs.5000 while Q invested Rs.5000 more. After 3 more months R joins the business with a capital of Rs.21000. The share of Q exceeds that of P, out of a total profit of Rs.26400 after one year by? P और Q साझे में क्रमशः रू.16000 और रू.12000 निवेश करते हैं । 3 माह बाद P रू.5000 निकाल लेता है जबकि Q रू.5000 अधिक निवेश करता है । 3 और माह बाद R व्यापार में रू.21000 का निवेश करके शामिल हो जाता है । Q का हिस्सा P से कितना ज्यादा है, जब एक वर्ष के बाद कुल लाभ रू. 26400 प्राप्त होता है ?

  1. Rs. 1600

  2. Rs. 1800

  3. Rs. 2000

  4. Rs. 2400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

P's investment: 16000×3 + 11000×9 = 48000 + 99000 = 147000. Q's investment: 12000×3 + 17000×9 = 36000 + 153000 = 189000. R's investment: 21000×6 = 126000. Ratio of investments: P:Q:R = 147:189:126 = 49:63:42. Total profit = 26400. Q's share = (63/154)×26400 = 10800. P's share = (49/154)×26400 = 8400. Difference = 10800 - 8400 = 2400.

Multiple choice

A and B enter into a partnership and together start a business with contributions of Rs.15000 and Rs.20000 respectively. After 4 months C also join them with the contribution of Rs.22500. After 9 months B withdraws his contribution. At the end of year there is a profit of Rs.9000. Find the share of B in the profit.

  1. Rs.2600

  2. Rs.2980

  3. Rs.3000

  4. Rs.4000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit ratio = investment × time. A: 15000×12 = 180000. B: 20000×9 = 180000 (withdrew after 9 months). C: 22500×8 = 180000 (joined after 4 months, so 12-4=8 months). Ratio A:B:C = 180:180:180 = 1:1:1. B's share = 9000/3 = Rs.3000. Option C is correct.

Multiple choice

Ram starts a business with Rs.3500 and after 5 months, Bhuvan joins with Ram as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Bhuvan's contribution in the capital?

  1. Rs.8000

  2. Rs.8500

  3. Rs.9000

  4. Rs.7500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ram's investment: Rs.3500 × 12 months = 42000. Let Bhuvan's investment be x. His investment: x × 7 months (since he joined after 5 months). The profit ratio is 2:3, so 3500×12 / (x×7) = 2/3. Solving: 42000/7x = 2/3, so 6000/x = 2/3, therefore x = 9000. Bhuvan contributed Rs.9000.