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Quantitative Aptitude — Partnership
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Quantitative Aptitude — Partnership

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7 mins
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9
Questions
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1
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Quantitative Aptitude — Partnership — Questions with Answers Open after you finish the quiz — all 9 questions, with answers and explanations.
Q1. A and B started a business by investing Rs. 5000 and Rs. 7000 respectively. If the total profit at the end of the year is Rs. 3600, what is A's share of the profit?
  1. Rs. 1500
  2. Rs. 2100
  3. Rs. 3600
  4. Rs. 1800
Show answer
Answer: A. Rs. 1500
Formula: Profit is shared in the ratio of investments when time is the same. Investment ratio of A:B = 5000:7000 = 5:7. Total parts = 5 + 7 = 12. A's share = (5/12) * Total Profit A's share = (5/12) * 3600 = 5 * 300 = Rs. 1500.
Q2. A invested Rs. 10000 for 12 months and B invested Rs. 15000 for 8 months in a partnership. If the total profit earned is Rs. 16000, what is A's share?
  1. Rs. 8000
  2. Rs. 6000
  3. Rs. 10000
  4. Rs. 9000
Show answer
Answer: A. Rs. 8000
Formula: Profit is shared in the ratio of (Investment * Time). A's equivalent investment = 10000 * 12 = 120000. B's equivalent investment = 15000 * 8 = 120000. Ratio of A's profit to B's profit = 120000:120000 = 1:1. Total parts = 1 + 1 = 2. A's share = (1/2) * Total Profit A's share = (1/2) * 16000 = Rs. 8000.
Q3. A started a business with an investment of Rs. 20000. After 4 months, B joined him with an investment of Rs. 30000. If the total profit at the end of the year is Rs. 17000, what is A's share?
  1. Rs. 8500
  2. Rs. 7500
  3. Rs. 9000
  4. Rs. 17000
Show answer
Answer: A. Rs. 8500
Formula: Profit is shared in the ratio of (Investment * Time). A invested for 12 months: 20000 * 12 = 240000. B joined after 4 months, so B invested for (12 - 4) = 8 months: 30000 * 8 = 240000. Ratio of A's profit to B's profit = 240000:240000 = 1:1. Total parts = 1 + 1 = 2. A's share = (1/2) * Total Profit A's share = (1/2) * 17000 = Rs. 8500.
Q4. A started a business with Rs. 10000. After 4 months, he added Rs. 5000 more. B joined the business at the beginning with Rs. 12000 for the entire year. If the total profit at the end of the year is Rs. 38000, what is B's share?
  1. Rs. 18000
  2. Rs. 20000
  3. Rs. 16000
  4. Rs. 19000
Show answer
Answer: A. Rs. 18000
Formula: Profit is shared in the ratio of (Investment * Time). A's total equivalent investment: (10000 * 4 months) + ((10000 + 5000) * (12 - 4) months) = (10000 * 4) + (15000 * 8) = 40000 + 120000 = 160000. B's total equivalent investment: 12000 * 12 months = 144000. Ratio of A's profit to B's profit = 160000:144000. Dividing by 16000, the ratio is 10:9. Total parts = 10 + 9 = 19. B's share = (9/19) * Total Profit B's share = (9/19) * 38000 = 9 * 2000 = Rs. 18000.
Q5. A invested Rs. 8000 for 6 months in a business. B invested an unknown amount (X) for 5 months. If the total profit at the end of the period is Rs. 12000 and A's share of profit is Rs. 7200, what is the value of X?
  1. Rs. 6000
  2. Rs. 7200
  3. Rs. 8000
  4. Rs. 6400
Show answer
Answer: D. Rs. 6400
Formula: Profit is shared in the ratio of (Investment * Time). A's profit = Rs. 7200. Total profit = Rs. 12000. B's profit = Total Profit - A's Profit = 12000 - 7200 = Rs. 4800. Ratio of A's profit to B's profit = 7200:4800 = 3:2. Ratio of (A's Investment * A's Time) to (B's Investment * B's Time) = (8000 * 6) : (X * 5) = 48000 : 5X. So, 48000 / (5X) = 3 / 2. Cross-multiplying: 3 * 5X = 48000 * 2. 15X = 96000. X = 96000 / 15 = Rs. 6400.
Q6. A and B are partners in a business. A is an active partner and receives 10% of the total profit as his salary. The remaining profit is distributed among them according to their investments. A invested Rs. 40000 and B invested Rs. 60000. If the total profit is Rs. 25000, what is A's total share?
  1. Rs. 11500
  2. Rs. 13500
  3. Rs. 10000
  4. Rs. 12500
Show answer
Answer: A. Rs. 11500
Formula: Active partner's salary is deducted first, then remaining profit is shared by investment ratio. Total Profit = Rs. 25000. A's salary = 10% of 25000 = (10/100) * 25000 = Rs. 2500. Remaining profit for distribution = 25000 - 2500 = Rs. 22500. Investment ratio of A:B = 40000:60000 = 2:3. Total parts for remaining profit = 2 + 3 = 5. A's share from remaining profit = (2/5) * 22500 = 2 * 4500 = Rs. 9000. A's total share = A's Salary + A's share from remaining profit = 2500 + 9000 = Rs. 11500.
Q7. A, B, and C started a business. A invested Rs. 12000 for 8 months, B invested Rs. 15000 for 6 months, and C invested Rs. 10000 for 10 months. If the total profit at the end of the year is Rs. 28600, what is C's share of the profit?
  1. Rs. 9600
  2. Rs. 9000
  3. Rs. 12000
  4. Rs. 10000
Show answer
Answer: D. Rs. 10000
Formula: Profit is shared in the ratio of (Investment * Time). A's equivalent investment = 12000 * 8 = 96000. B's equivalent investment = 15000 * 6 = 90000. C's equivalent investment = 10000 * 10 = 100000. Ratio of A:B:C's profit = 96000:90000:100000. Dividing by 1000, the ratio is 96:90:100. Dividing by 2, the simplified ratio is 48:45:50. Total parts = 48 + 45 + 50 = 143. C's share = (50/143) * Total Profit C's share = (50/143) * 28600 = 50 * 200 = Rs. 10000.
Q8. A started a business with Rs. 60000. After 4 months, B joined him with Rs. 80000. After 6 more months (i.e., 10 months from the start), A withdrew Rs. 10000. If the total profit at the end of the year is Rs. 26800, what is A's share?
  1. Rs. 12800
  2. Rs. 14000
  3. Rs. 13500
  4. Rs. 15000
Show answer
Answer: B. Rs. 14000
Formula: Profit is shared in the ratio of (Investment * Time). A's total equivalent investment: - For the first 10 months: 60000 * 10 = 600000. - For the remaining (12 - 10) = 2 months, A's investment is (60000 - 10000) = 50000. So, 50000 * 2 = 100000. Total for A = 600000 + 100000 = 700000. B's total equivalent investment: B joined after 4 months, so B invested for (12 - 4) = 8 months. 80000 * 8 = 640000. Ratio of A's profit to B's profit = 700000:640000. Dividing by 10000, the ratio is 70:64. Dividing by 2, the simplified ratio is 35:32. Total parts = 35 + 32 = 67. A's share = (35/67) * Total Profit A's share = (35/67) * 26800 = 35 * 400 = Rs. 14000.
Q9. A, B, and C entered into a partnership. A invested Rs. 10000 for 6 months, B invested Rs. 8000 for 5 months, and C invested Rs. 12000 for 4 months. If A's share of the profit is Rs. 6000, what is the total profit earned?
  1. Rs. 12000
  2. Rs. 14800
  3. Rs. 15000
  4. Rs. 16200
Show answer
Answer: B. Rs. 14800
Formula: Profit is shared in the ratio of (Investment * Time). A's equivalent investment = 10000 * 6 = 60000. B's equivalent investment = 8000 * 5 = 40000. C's equivalent investment = 12000 * 4 = 48000. Ratio of A:B:C's profit = 60000:40000:48000. Dividing by 4000, the simplified ratio is 15:10:12. Total parts = 15 + 10 + 12 = 37. Given A's share = Rs. 6000, which corresponds to 15 parts. Value of 1 part = 6000 / 15 = Rs. 400. Total profit = Total parts * Value of 1 part = 37 * 400 = Rs. 14800.
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