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

Passage

Directions: The following question consists of quantities, Quantity I and Quantity II. You are to compare the two quantities and find the correct relationship between both the quantities.

Renu, Pritam and Sunil entered into a partnership. Renu invested Rs. 4000, Pritam invested Rs. 3000 and Sunil invested Rs. 2500. Renu withdrew 50% of her invested amount after 5 months, Pritam invested 20% more of his invested amount after 8 months and Sunil invested 30% more of his invested amount after 5 months. If profit earned by Pritam at the end of year was Rs. 38400 and profit was shared in the ratio of their investment and time. Quantity I: The difference of profit between Pritam and Sunil. Quantity II: The difference of profit between Sunil and Renu.

  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
A Correct answer
Explanation

Calculate the effective investment for each person: Renu (4000*5 + 2000*7 = 34000), Pritam (3000*8 + 3600*4 = 38400), Sunil (2500*5 + 3250*7 = 35250). Given Pritam's profit is 38400, the multiplier is 1. Renu's profit is 34000 and Sunil's is 35250. Quantity I (Pritam - Sunil) = 38400 - 35250 = 3150. Quantity II (Sunil - Renu) = 35250 - 34000 = 1250. Thus, I > II.

Multiple choice

Passage

Directions: Read the given information carefully and answer the following question. Three partners - P, Q and R - start a business in partnership with initial investments of Rs. 20,000, Rs. 30,000 and Rs. 50,000, respectively. The next year, P invests Rs. 12,000 more in the business and Q withdraws Rs. 5000 from the business. In the third year, P and Q invest Rs. 20,000 each in the business and R withdraws Rs. 10,000 from the business. They all remain in the partnership for 5 years. The profits earned by them are proportional to their investments and the periods of investments.

If a total profit of Rs. 49,44,000 is made in the business, then what will be the share of R?

  1. Rs. 20 lakh

  2. Rs. 17.6 lakh

  3. Rs. 16.67 lakh

  4. Rs. 1.45 lakh

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

Calculate total investment-months for each: P = 20k*1 + 32k*1 + 52k*3 = 208k. Q = 30k*1 + 25k*1 + 45k*3 = 190k. R = 50k*2 + 40k*3 = 220k. Total = 618k. R's share = (220/618) * 49,44,000 = 17,60,000.

Multiple choice

Passage

In each of the following questions, a question & then two statements – I & II are given. You have to determine that the data provided in these statements is enough to answer the question or not. Study both the statement: निम्नलिखित प्रत्येक प्रश्न में एक प्रश्न और फिर दो कथन I और II दिए गए हैं। आपको यह निर्धारित करना है कि इन कथनों में प्रदान किया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। दोनों कथनों का अध्ययन करें:

Two partners, P and Q entered in a business, what profit will Q get at the end of 2 years? दो साझेदार, P और Q ने एक व्यवसाय में प्रवेश किया, 2 वर्ष के अंत में Q को कितना लाभ होगा? Statement I: P and Q started the business by investing in the ratio 25 :7 and After 2 years, P’s share is Rs. 5000. Statement II: P joined the business with an amount of Rs. 20000 कथन I: P और Q ने 4:7 के अनुपात में निवेश करके व्यवसाय शुरू किया और 2 वर्ष बाद, P का हिस्सा रु 5000 है कथन II: P 20000 रुपये की राशि के साथ व्यवसाय में शामिल हुआ।

  1. Only Statement I alone. केवल कथन I

  2. Only Statement II alone. केवल कथन II

  3. Both Statements I and II together. दोनों कथन I और II एक साथ

  4. Neither Statement I nor II is sufficient. न तो कथन I और न ही II पर्याप्त है।

  5. Either Statement I or II. या तो कथन I या II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From Statement I: The investment ratio of P and Q is 25:7 (total 32 parts). After 2 years, P's share is Rs. 5000. Using the profit-sharing ratio proportional to investment, total profit = 5000 × 32/25 = Rs. 6400. Therefore Q's share = 6400 - 5000 = Rs. 1400. Statement I alone is sufficient.

Multiple choice

Passage

In each of the following questions, a question & then two statements – I & II are given. You have to determine that the data provided in these statements is enough to answer the question or not. Study both the statement: निम्नलिखित प्रत्येक प्रश्न में एक प्रश्न और फिर दो कथन I और II दिए गए हैं। आपको यह निर्धारित करना है कि इन कथनों में प्रदान किया गया डेटा प्रश्न का उत्तर देने के लिए पर्याप्त है या नहीं। दोनों कथनों का अध्ययन करें:

Find the amount invested by Rohan in the business. रोहन द्वारा व्यवसाय में निवेश की गई राशि ज्ञात कीजिए। statement I. Total profit earned by three partners Rohan, Sohan and Sarita is Rs 27500. statement II. Sohan and Sarita invested Rs 25000 and Rs 32000 Respectively. कथन I. तीन भागीदारों रोहन, सोहन और सरिता द्वारा अर्जित कुल लाभ 27500 रुपये है। कथन II. सोहन और सरिता ने क्रमशः 25000 रुपये और 32000 रुपये का निवेश किया।

  1. Only Statement I alone. केवल कथन I

  2. Only Statement II alone. केवल कथन II

  3. Both Statements I and II together. दोनों कथन I और II एक साथ

  4. Neither Statement I nor II is sufficient. न तो कथन I और न ही II पर्याप्त है।

  5. Either Statement I or II. या तो कथन I या II
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find Rohan's investment, we need information about the profit sharing ratio or relationship between investments and time period. Statement I only gives total profit but doesn't tell us how profit is distributed among partners. Statement II gives investments of Sohan and Sarita but nothing about Rohan's investment or profit sharing. Even together, we don't know the profit distribution formula or whether time periods are equal, so we cannot determine Rohan's investment.

Multiple choice

Passage

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. निम्नलिखित प्रत्येक प्रश्न में दिए गए कथन को पढ़िए और उसके आधार पर मात्रा I और मात्रा II की तुलना कीजिए।

Ram invested Rs 80000 for a year and Shyam invested Rs72000 For 8 months. राम ने एक वर्ष के लिए 80000 रुपये का निवेश किया और श्याम ने 8 महीने के लिए 72000 रुपये का निवेश किया। Quantity I : If total profit at the end of year is Rs11400 then the share of Ram. Quantity II: Rs. 1420 मात्रा I : यदि वर्ष के अंत में कुल लाभ 11400 रुपये है तो राम का हिस्सा मात्रा II: 1420 रु

  1. Quantity : I > Quantity : II मात्रा : I > मात्रा : II

  2. Quantity : I ≥ Quantity : II मात्रा : I ≥ मात्रा : II

  3. Quantity : I < Quantity : II मात्रा: I < मात्रा: II

  4. Quantity : II ≥ Quantity : I मात्रा: II ≥ मात्रा: I

  5. Quantity I = Quantity II or relation can't be established मात्रा I = मात्रा II या संबंध स्थापित नहीं किया जा सकता
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Quantity I: Ram invested Rs80000 for 12 months, Shyam invested Rs72000 for 8 months. Ratio of investments = (80000×12):(72000×8) = 960000:576000 = 5:3. Ram's share = 5/8 × 11400 = Rs7125. Quantity II = Rs1420. Clearly 7125 > 1420. Option A correct.

Multiple choice

Passage

Each of questions given below is followed by three Statements I, II and III. You have to study the questions and all the three statements given to decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the given question.

Three friends A, B and C started a partnership business investing money in the ratio of 5:4:2 respectively for a period of 3 yr. What is the amount received by A as the share in total profit? I. Total amount invested in the business is 22000. II. Profit earned at the end of 3 yr is 3/8 of the total investment. III. The average amount of profit earned per year is 2750

  1. Only I

  2. Only III

  3. Either I and II or III

  4. I or III

  5. I or II or III
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

With I and II: Total investment = 22000, A's share = 5/11 = 10000. For 3 years, A's effective investment = 10000 × 3 = 30000. Profit = 3/8 × 22000 = 8250. A's share = (15/33) × 8250 = 3750. With III alone: Average profit = 2750, so total profit = 2750 × 3 = 8250, which matches. Both paths give the same result, so C is correct.

Multiple choice

Passage

Read the following information carefully to answer the questions. Four persons (P, Q, R and S) are started a business together by investing the amount of Rs. 20000, Rs. 30000, Rs. 50000 and Rs. 60000 respectively. After 4 months, P and R increased the initial investment 20 % and 40 % respectively. At the end of the year, they earned a total profit of Rs. 171600. The person A and B borrows P and R’s share. They are giving 8 % simple interest for 4 years. The person C borrows Q’s total amount (ie., Initial investment + Profit) for 2 years at the rate of 6 % compound interest.

Find the average share of P and S together at the end of the year of business?

  1. Rs. 42500

  2. Rs. 48600

  3. Rs. 39400

  4. Rs. 40300

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

Find the final amounts (initial investment + profit share) for both P and S from the business data. Calculate the average: (P's total + S's total) / 2. The answer Rs. 40300 is their average share.

Multiple choice

Passage

Each of the questions below consist of a question and two statements. You have to decide whether the data provided in the statements is sufficient to answer the questions. Read both the statements and then choose the appropriate option. नीचे दिए गए प्रत्येक प्रश्न में एक प्रश्न और दो कथन हैं। आपको यह तय करना है कि कथनों में दिया गया डेटा प्रश्नों का उत्तर देने के लिए पर्याप्त है या नहीं। दोनों कथनों को पढ़िए और उपयुक्त विकल्प का चयन कीजिए।

‘A’ started a business and B joined him after 3 months and C joined them after 4 months. Find the share of ‘C’ out of the total profit? 'A' ने एक व्यवसाय शुरू किया और 3 महीने बाद B उससे जुड़ गया और 4 महीने बाद C उनके साथ जुड़ गया। कुल लाभ में से 'C' का हिस्सा ज्ञात कीजिए? Statement I : ‘A’ invested Rs. 600 more than ‘B’ which ‘B’ invested Rs. 300 more than ‘C’. Statement II: A’s share is 18000 out of total annual Profit. कथन I: 'A' ने B से 600 अधिक रुपये का निवेश किया। B ने C से 300 रूपये अधिक का निवेश किया। कथन II: कुल वार्षिक लाभ में A का हिस्सा 18000 है।

  1. Statement I alone is sufficient to answer the question but statement II alone is not sufficient to answer the questions कथन I अकेले प्रश्न का उत्तर देने के लिए पर्याप्त है लेकिन कथन II अकेले प्रश्नों का उत्तर देने के लिए पर्याप्त नहीं है

  2. Statement II alone is sufficient to answer the question but statement I alone is not sufficient to answer the question. कथन II अकेले प्रश्न का उत्तर देने के लिए पर्याप्त है लेकिन केवल कथन I अकेले प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  3. Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question. दोनों कथनों को मिलाकर प्रश्नों का उत्तर देना आवश्यक है, लेकिन इनमें से कोई भी कथन अकेले प्रश्न का उत्तर देने के लिए पर्याप्त नहीं है।

  4. Either statement I or statement II by itself is sufficient to answer the question. या तो कथन I या कथन II अपने आप में प्रश्न का उत्तर देने के लिए पर्याप्त है E)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find C's share, we need investment amounts and time periods. Statement I gives relative investments but no absolute values. Statement II gives A's profit share but not total profit or investment details. Both together give: Let C's investment = x, then B = x+300, A = x+900. With time periods (A:12 months, B:9, C:8) and A's profit=18000, we can find total profit and C's share.

Multiple choice

Passage

Each of the questions below consists of a question followed by three statements numbered I, II and III. You have to decide the data provided in which of the statements are sufficient to answer the question.

Three friends named Ramesh, Suraj and Ajeet together started a business. Find the profit share of Ajeet. I. The amount invested by Suraj is half of that by Ramesh and Ajeet together. II. The average amount invested by all three is Rs 30 lakh. III. The ratio between the investment time of Ramesh, Suraj and Ajeet is 3:4:6.

  1. None of these

  2. All three together are not sufficient

  3. Only I or II is sufficient

  4. Any Two are sufficient

  5. II and either I or III are sufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: Suraj = (Ramesh + Ajeet)/2 or Ramesh + Ajeet = 2*Suraj. Statement II: Average = 30 lakh, so total = 90 lakh (R + S + A = 90). Statement III: Time ratio 3:4:6. Profit share = investment × time. From I and II: R + A = 2S and R + S + A = 90, so 3S = 90, S = 30, R + A = 60. Without knowing R:A ratio individually, Ajeet's share cannot be found. Statement III alone insufficient without investment amounts. All three together insufficient.

Multiple choice

Passage

Based on the given passage, answer the questions that follow. Amit invested Rs 50000 in a company in the beginning of the year. After few months, Bimal invested Rs 40000 in the same company. At the end of the year, Amit received Rs 12000 as his share of profit for the year. In the next year, Amit and Bimal again invested the same as they did in the previous year for the whole year. After 3 months, Chandan invested Rs 60000 and received Rs 4500 as his share of profit at the end of second year.

If Bimal received Rs 5600 as his share of profit at the end of the first year, after how many months did he invested in the company?

  1. 3

  2. 4

  3. 5

  4. 6

  5. 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using profit ratio formula with Amit's 30000 for 12 months and Bimal's unknown: if Bimal invested 24000 for x months and got 5600, we solve 30000×12 : 24000×x = profit ratio. Working backwards from answer 5 months gives the correct relationship.

Multiple choice

Passage

Based on the given passage, answer the questions that follow. Amit invested Rs 50000 in a company in the beginning of the year. After few months, Bimal invested Rs 40000 in the same company. At the end of the year, Amit received Rs 12000 as his share of profit for the year. In the next year, Amit and Bimal again invested the same as they did in the previous year for the whole year. After 3 months, Chandan invested Rs 60000 and received Rs 4500 as his share of profit at the end of second year.

At the end of the first year, what amount did Bimal received as his share of profit?

  1. 6000

  2. 9600

  3. 10000

  4. 12000

  5. Can’t be determined
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Without knowing the total profit amount or Bimal's investment details, we cannot determine the absolute amount Bimal received. Only ratios can be calculated, making the answer indeterminate.

Multiple choice

Passage

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question.

Three friends Geet, Sumit and Kavit start a business each investing Rs. 20,000. After five months Geet withdraws Rs. 6000, Sumit withdraws Rs. 5,000 and Kavit invests Rs. 8,000 more. The profit share of Sumit is how much less than the profit share of Kavit after a year's investment? (1) The profit share of Kavit is Rs. 12,054 more than the profit share of Geet. (2) The profit share of Geet is Rs. 24,354

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statement (1) and (2) together are sufficient, but neither of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Both statements (1) and (2) together are not sufficient.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The profit ratio depends on the product of investment and time. Since all initial investments and changes are known, the ratio of their profit shares is fixed. Statement (1) provides the absolute difference in profit, which allows calculating the actual shares. Statement (2) provides the absolute profit of one person, which also allows calculating the actual shares. Thus, each statement is sufficient.

Multiple choice

Passage

Directions: In the following item, quantity I and quantity II are given. Determine the relationship between the quantities and choose the appropriate option. (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I = Quantity II or the relationship cannot be established from the information given (5) If Quantity I ≤ Quantity II

Gabbar, Kalia and Sambha started a business by investing amounts in the ratio 4 : 6 : 5. After 3 months, Gabbar increased his investment by 25%. After 3 more months, Kalia increased his investment by 50%. Three months after this, Sambha doubled his investment. At the end of one year, they earned a profit of Rs. 4,80,000. Quantity I: Profit share of Kalia Quantity II: Profit share of Sambha

  1. (1)

  2. (2)

  3. (3)

  4. (4)

  5. (5)
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Passage

2006912_passage_1575961719_hindi.htm

Directions: This data sufficiency problem consists of a question and two statements labelled (1) and (2). You have to decide whether the data given in the statements is sufficient for answering the question. Neha, Ravi and Priya earned profit in a business. If the profit earned in the business is proportional to the investment and the period of investment, then find Neha's share in profit. (1) Neha invested her capital for 6 months more than Ravi and Ravi and Priya invested their capital for 6 months. (2) Ravi's share in profit is Rs. 5,000 more than the profit share of Priya.

  1. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

  3. Both statements (1) and (2) together are not sufficient

  4. Each statement alone is sufficient.

  5. Both statements (1) and (2) together are sufficient, but neither of them alone is sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit depends on both investment amount and time. Statement 1 gives info on time but not investment amounts. Statement 2 gives a difference in profit but not the total investment or time. Neither statement provides enough information to determine Neha's specific share.

Multiple choice

Passage

Directions: Read the following passage carefully: Sterling enterprises is a partnership business with Ryan, Williams, and Sania as partners engaged in production and sales of electrical items and equipment. Their capital contributions were Rs. 50,00,000, Rs. 50,00,000, and Rs. 80,00,000 respectively with the profit sharing ratio of 5 : 5 : 8. To expand their business, they decided to bring in sufficient cash to double their respective capitals. This was duly followed by Ryan and Williams but due to unavoidable reasons Sania could not do so and ultimately it was agreed that to bridge the shortfall in the required capital, a new partner should be admitted who would bring in the amount that Sania could not bring and that the new partner would get share of profits equal to half of Sania's share which would be sacrificed by Sania only. Consequent to this agreement, Ejaz was admitted and he brought in the required capital and Rs. 30,00,000 as premium for goodwill.

What is the amount of capital brought in by the new partner Ejaz?

  1. Rs. 50,00,000

  2. Rs. 80,00,000

  3. Rs. 40,00,000

  4. Rs. 30,00,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sania's original capital was 80,00,000. To double it, she needed 80,00,000 more. Since she could not bring it, Ejaz was admitted to bring the amount Sania could not bring. Thus, Ejaz brought 80,00,000.