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

Three partners together invested Rs. 114000 in a busines. At the end of the year first partner got Rs. 337.50 socond partner got Rs. 1125.00 and third partner got Rs. 675 as profit. What is the approximate percent profit?

  1. 4.8

  2. 3.8

  3. 1.8

  4. 2.8

  5. 3.2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total profit = 337.50 + 1125.00 + 675 = Rs. 2137.50. Percentage profit = (2137.50 / 114000) × 100 = 1.876%, which rounds to 1.8%. Option A (4.8%) overestimates the profit significantly. Options B (3.8%), D (2.8%), and E (3.2%) are all incorrect calculations that don't match the actual profit distribution.

Multiple choice

Ajay, Vikas and Manav enter into a partnership. Vikas invests some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ajay after 8 months. They earn a profit of Rs. 45,000 at the end of the year. What is Manav's share in the profit?

  1. Rs. 25,000

  2. Rs. 15,000

  3. Rs. 12,000

  4. Rs. 9,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Ajay's investment be x. Vikas invests y for 6 months and 2y for next 6 months. Manav invests 3x for 4 months. If y=x for proportionality: Ajay's capital=12x, Vikas's capital=6x+12x=18x, Manav's capital=12x. Total=42x. Manav's share=(12/42)×45000=Rs.12857. If Vikas invests x/2 then 2x(x/2=2x): Ajay=12x, Vikas=3x+12x=15x, Manav=12x. Total=36x. Manav's share=(12/36)×45000=Rs.15000.

Multiple choice

Basant and Kesav enter into a partnership of business, the capital of Basant was 1.5 times of Kesav. After 8 months Basant withdrew half of his capital and after 10 months Kesav withdrew one fourth of his capital. At the end of the year, if the profit incurred is ₹ 5300. Find the amount recieved by Kesav? साझेदारी के प्रारंभ में बसंत के द्वारा किया निवेश केशव के निवेश का 1.5 गुना हैं । 8 माह पश्चात् बसंत अपने निवेश का आधा भाग निकल लेता है तथा केशव 10 माह पश्चात् के बाद अपने निवेश का एक चौथाई हिस्सा निकल लेता है । वर्ष के अंत में, कुल लाभ ₹ 5300 प्राप्त होता है तो केशव को मिलने वाली धनराशि ज्ञात कीजिये?

  1. ₹ 2000

  2. ₹ 2300

  3. ₹ 3000

  4. ₹ 2700
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Kesav's capital be 2x, so Basant's capital = 3x (1.5 times). Kesav: 2x for 10 months, then 1.5x for 2 months = 20x + 3x = 23x units. Basant: 3x for 8 months, then 1.5x for 4 months = 24x + 6x = 30x units. Ratio = 23:30, total = 53 parts. Kesav's share = 23/53 of ₹5300 = 23 × 100 = ₹2300. Option B is correct.

Multiple choice

Raju started business investing Rs 75000. After 4 months Sanju joined the business with Rs. 112500. If at the end of the year total profit was Rs 4500, find Sanju’s share. राजू ने रू 75000 लगाकर एक व्यापार आरम्भ किया। चार माह पश्चात् संजू रू 112500 लगाकर उसके साथ व्यापार में सम्मिलित हो गया। यदि वर्ष के अन्त में कुल लाभ रू 4500 हो तो संजू का भाग ज्ञात कीजिये।

  1. 2200

  2. 2250

  3. 2225

  4. 2500
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Raju invested Rs 75000 for 12 months, Sanju invested Rs 112500 for 8 months (joined after 4 months). Profit sharing ratio = (75000 × 12) : (112500 × 8) = 900000 : 900000 = 1:1. Sanju's share = 1/2 × 4500 = 2250.

Multiple choice

Rahul and Naimish start a business. Rahul invested 25% more than Naimish after 3 months Deepak Join the business by investing the amount as much as Rahul and Naimish together If after one year Deepak get Rs. 8.1 Lack as profit then find the difference of the share of Rahul and Naimish?
  1. $Rs.48000$
  2. $Rs. 1200$
  3. $Rs.120000$
  4. $Rs.56000$
  5. $Rs.6000000$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Naimish's investment be 4x, so Rahul's is 5x (25% more). After 3 months, Deepak joins with 9x (sum of Rahul+Naimish). For one year: Naimish = 4x×12 = 48x, Rahul = 5x×12 = 60x, Deepak = 9x×9 = 81x. Ratio = 48:60:81 = 16:20:27. Deepak's 27 parts = Rs. 8.1 lakh, so 1 part = Rs. 30000. Rahul-Naimish difference = (20-16)×30000 = Rs. 120000.

Multiple choice

Arun, Naimish enter into a partnership with contribution of Rs. 15000 and Rs. 20,000. After 4 months, Deepak also joins with rs. 22,500. After 9 months, Naimish withdraws his contribution. At the end of year, the profit of Naimish from total profit of 9000 is- अरूण, नैमिष एक साझेदारी में 15000 रू. और 20,000 रू. निवेश करके जुड़ते हैं। 4 माह के बाद दीपक 22,500 रू. से इनके साथ जुड़ता है। 9 माह बाद नैमिष व्यापार छोड़ देता है तो वर्ष के अंत में नैमिष का लाभांश ज्ञात कीजिए यदि कुल लाभ 9000 रू. है।

  1. Rs. 1800

  2. Rs. 2100

  3. Rs. 2700

  4. Rs. 3000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit sharing ratio = investment × time. Arun: 15000 × 12 = 180000. Naimish: 20000 × 9 = 180000 (withdraws after 9 months). Deepak: 22500 × 8 = 180000 (joins after 4 months, works for 8 months). All have equal ratio 1:1:1. Naimish's share = 9000/3 = 3000. Options A, B, and C are incorrect.

Multiple choice

A, B and C started a partnership business investing Rs. 30000, Rs, 50000 and Rs. 40000 respectively. If they made annual profit of Rs. 18, 504 then the share of B is. A, B और C ने क्रमशः रू. 30000, रू. 50000 और रू 40000 का निवेश करके एक साझेदारी कारोबार आरम्भ किया। यदि उन्हे रू. 18504 का वार्षिक लाभ हुआ तो B का हिस्सा है-

  1. रू. 7010

  2. रू. 7710

  3. रू. 7170

  4. रू. 7510
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total investment = 30000+50000+40000 = 120000. B's share ratio = 50000/120000 = 5/12. Profit share = (5/12)×18504 = 7710. Profit is distributed in proportion to investment amounts. Options A, C, D are incorrect distributions.

Multiple choice

A, B and C invests ina a business for partnership. If the ratio between the time of their investments is 1 : 2 : 3 and ratio between their profits is 2 : 3 : 1. Then find the ratio between their investments. A, B और C साझेदारी में एक व्यापार प्रारम्भ करते हैं | यदि उनके द्वारा निवेश की गयी धनराशियों के समयों का अनुपात 1 : 2 : 3 है व उनके लाभों का अनुपात 2 : 3 : 1 है, तो उनके द्वारा निवेश की गयी धनराशियों के समयों का अनुपात ज्ञात कीजिये |

  1. 12 : 9 : 4

  2. 12 : 9 : 2

  3. 9 : 4 : 5

  4. 4 : 5 : 6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In partnership, Profit = Investment × Time, so Investment = Profit/Time. Investment ratio = (2/1):(3/2):(1/3) = 2:1.5:0.33. Multiply by 6 to clear fractions: 12:9:2.

Multiple choice

A and B starts a partnership business. A invests Rs.500 for 9 months and B invests his capital for 6 months. Total profit is Rs.69 and B gets Rs.46 as profit. The capital of B is- A और B एक साझे में व्यवसाय प्रारम्भ करते हैं । A, रू.500, 9 महीने के लिए निवेश करता है और B, अपनी पूंजी 6 महीने के लिए निवेश करता है । कुल लाभ रू. 69 और B, रू. 46 लाभ के रूप में प्राप्त करता है । B की पूंजी है-

  1. Rs. 1650

  2. Rs. 1500

  3. Rs. 1550

  4. Rs. 1680
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit sharing ratio = (investment × time) ratio. A: 500 × 9 = 4500. Let B's capital be x. B: x × 6. Ratio A:B = 4500:6x = 750:x. B's profit share = 6x/(4500 + 6x) × 69 = 46. Solving: 414x = 207000 + 276x, so 138x = 207000, x = 1500. Option B is correct.

Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? X and Y entered into a partnership. What is share of X’s profit? I. The ratio of capitals of X and Y is 3 : 5. II. X invested his money for two months more than Y. III. Y’s share in the total profit is Rs. 1000 less than the share of X.

  1. Only I and II

  2. Only I and III

  3. Any two

  4. All

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

To find X's profit share, we need capital ratio, investment time periods, and total profit amount. Statement I gives only capital ratio (3:5). Statement II gives time difference (X invested 2 months more) but not actual periods. Statement III relates the shares (Y's share = X's share - 1000) but doesn't give total profit. Without total profit or actual time periods, we cannot determine X's profit share even using all three statements together. Therefore the data is insufficient.

Multiple choice

A and B starts a business investing Rs.10000 and Rs.12000 respesctively for 8 and 6 months.If they get an profit of Rs.9500. Then find the profit share of A.

  1. Rs. 3600

  2. Rs. 4000

  3. Rs.4500

  4. Rs. 5000

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

Profit sharing is based on investment × time. A's ratio: 10000 × 8 = 80000. B's ratio: 12000 × 6 = 72000. Total ratio = 152000. A's share = (80000/152000) × 9500 = (80000 × 9500) / 152000 = 760000000 / 152000 = 5000. So A gets Rs. 5000. The key is that both investment amount AND time duration matter.

Multiple choice

A starts business with the Rs. 3640 and after 5 months B joins A as his partner. After a year, the profit is divided in the ratio 2:3. What is B's contribution in the capital? A ने एक व्यापार 3640 रू. से आरम्भ किया और 5 महीने बाद B भी इस व्यापार में साझेदार हो गया। यदि एक वर्ष बाद लाभ को 2 : 3 के अनुपात में बाटा गया तो B का पूँजी निवेश कितना था?

  1. 9000 Rs.

  2. 9360 Rs.

  3. 9630 Rs.

  4. 9036 Rs.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's investment = 3640 × 12 = 43680. B's investment = x × 7. Profit ratio 2:3 means 43680 : 7x = 2 : 3, so 7x = (43680 × 3) / 2 = 65520, giving x = 9360, matching option B.

Multiple choice

A got (\frac{3}{8}) of the total money and his partner B got (\frac{3}{8}) of the remaining amount. If the difference between both the parts is Rs. 36 then what was the total amount?

  1. Rs.236

  2. Rs.272

  3. Rs.240

  4. Rs.256

  5. Rs.250
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total amount be T. A gets (3/8)T = 0.375T. Remaining is 0.625T. B gets (3/8) of remaining = 0.375 × 0.625T = 0.234375T. Difference: 0.375T - 0.234375T = 0.140625T = Rs. 36. So T = 36/0.140625 = Rs. 256.

Multiple choice

Three partners A, B and C started a business jointly by investing Rs. 36000, Rs. 40000 and Rs. 44000 respectively. The profit earned at the end of the year was Rs. 27000. Find C's share of profit. तीन भागीदार A, B और C संयुक्त रूप से क्रमशः 36000 रू., 40000 रू. और 44000 रू. निवेश कर व्यापार आरम्भ करते है। वर्ष के अन्त में अर्जित लाभ 27000 रू. था। C का लाभ में भाग ज्ञात कीजिए।

  1. Rs. 8100

  2. Rs. 900

  3. Rs. 10900

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

Partnership profits are shared in investment ratio. Ratio = 36000:40000:44000 = 9:10:11. Total parts = 30. C's share = (11/30)×27000 = Rs. 9900. The profit distribution directly reflects the proportion of capital invested.

Multiple choice

Rohan started a business with Rs. 3500 and after some months Ravi joins as his partner with Rs. 9000. At the end of the year the profit is divided between them in the ratio of 2 : 3. After how many months had Ravi joined the business? रोहन ने एक व्यवसाय 3500 रू. के साथ शुरू किया। कुछ महीनों के बाद रवि इसमें 9000 रू. के साथ शामिल हो जाता है। वर्ष के अंत में उनके बीच लाभ 2 : 3 के अनुपात में बांटा गया। रवि कितने माह बाद व्यवसाय में शामिल हुआ था?

  1. 5 months/5 मान

  2. 4 months/4 मान

  3. 6 months/6 मान

  4. 7 months/7 मान
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Rohan's investment: Rs. 3500 for 12 months = 42000 month-rupees. Ravi joins after n months with Rs. 9000 for (12-n) months = 9000(12-n). Profit ratio 2:3 means 42000 : 9000(12-n) = 2 : 3. Simplifying: 42 : 9(12-n) = 2 : 3. Cross-multiply: 42 × 3 = 2 × 9(12-n). 126 = 18(12-n). 7 = 12 - n. n = 5. Ravi joined after 5 months.