Quantitative Aptitude: Partnership Set 8

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Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams

  1. The investment of A is twice as that of B and thrice as that of C. B invested for twice the months than A and thrice the months than C. Who will earn the highest profit?
    A) B
    B) C
    C) A
    D) Both A and B
    E) Both B and C
    View Answer
    Option D
    Solution:
    Investment ratio 6:3:2
    Month ratio 3:6:2
    Then 6*3 : 6*3 : 2*2
    18:18:4==>9:9:2
    Both A and B gets equal and highest profits.
  2. A, B and C start a business and their investments are in the ratio 4 : 3 : 6. Both A and B starts the business and C joins them after 6 months. It was decided that C will get a monthly salary of Rs 600 from the annual profits. C’s total salary came out to be 10% of the annual profit after a year. What is the share of B in the total profits?
    A) Rs8500
    B) Rs9720
    C) Rs9650
    D) Rs10100
    E) None
    View Answer
    Option B
    Solution:
    C’s monthly salary Rs600.
    Then annual salary =600*6=3600(Because he work for 6 month only)
    Rs3600is 10% of total profit.
    Then total profit is Rs36000.
    Ratio of their shares 4*12: 3*12: 6*6
    =4:3:3
    Profit left after reducing salary of C = 36,000 – 3,600 = 32,400
    B’s share 3/10*32400=Rs9720.
  3. A, B and C started a business where their initial capital was in the ratio of 4:5:6. At the end of 8 months, A invested an amount such that his total capital became half to C’s initial capital investment. If the annual profit of B is Rs. 7500 then what is the total profit ?
    A) Rs22000
    B) Rs18000
    C) Rs20000
    D) Rs19500
    E) None
    View Answer
    Option A
    Solution:
    Initial Ratio 4:5:6
    Now, 4*8 +3*4 :5*12 : 6*12
    44:5*12 :6*12==>11:15:18.
    B’s share is Rs7500
    ie 15 7500
    (11+15+18)44 ? ==>22000
  4. P start a business with Rs. 10000, Q joins him after 2 month with 20% more investment than P, after 2 month R joins him with 40% less than Q. If the profit earned by them at the end of the year is equal to the twice of the difference between investment of P and ten times the investment of R. Find the profit of Q ?
    A) Rs35500
    B) Rs42000
    C) Rs38000
    D) Rs41100
    E) None
    View Answer
    Option C
    Solution:
    P : Q : R = (10000 × 12) : (12000 × 10) : (7200 × 8)
    = 25 : 25 : 12
    Now the Profit = 2 × (72000-10000) = 124000
    Q’s share 25/62*12400=Rs50000
    Then profit of Q=50000-12000=Rs38000.
  5. M and N are partners in a firm out of which M is sleeping partner and N is working partner. M invests Rs. 1,80,000 and N invests Rs. 90,000. N receives 14.5% of profit for managing the business and the rest is shared between both in ratio of their investments. M’s share in the profit of Rs. 24000 is ?
    A) Rs10100
    B) Rs11500
    C) Rs12520
    D) Rs13680
    E) None
    View Answer
    Option D
    Solution:
    Profit received by N as working partner = 14.5% of Rs. 24000= Rs. 3480
    Balance in profit = 24000-3480 = Rs. 20520
    Ratio of M and N=1,80,000: 90,000==>2:1
    Then M’s share 3 20520
    2 ? Rs13680
  6. Naveen and Kannan jointly started a business. Naveen invested four times as Kannan did and invested his money for double time as compared to Kannan. Kannan earned Rs. 5400. Then the total gain was ?
    A) Rs45000
    B) Rs48600
    C) Rs52000
    D) Rs55500
    E) None
    View Answer
    Option B
    Solution:
    Investments ratio is = 4:1
    Time period ratio is = 2:1
    Gain ratio of Naveen and Kannan = 8:1
    Kannan got Rs. 5400,
    1 5400
    9 ? ==>Rs48600
    The total gain = Rs48600
  7. A & B partner in a business , A contribute 1/4 of the capital for 15 months & B received 2/3 of the profit . For how long B’s money was used
    A) 8
    B) 6
    C) 10
    D) 7
    E) None
    View Answer
    Option C
    Solution:
    B received 2/3 of the profit
    A : B = 1 : 2
    Let the total capital = x
    Then A’s capital = x/4
    B’s capital = x – x/4 = 3x/4
    If B’s money was used for a months
    Then A:B = (x/4)*15 : (3x/4)*a = 1 : 2
    15/4 : 3b/4 = 1 : 2
    15 : 3b = 1 : 2
    5 : b = 1 : 2
    a = 5*2 = 10
  8. X, Y and Z enter into a partnership and theirs shares are in the ratio 1/2 : 1/3 : 1/4. After two months, X withdraws half of his capital and after 10 months, a profit of Rs.420 is divided among them. What is Y’s share?
    A) Rs180
    B) Rs165
    C) Rs 160
    D) Rs195
    E) None
    View Answer
    Option C
    Solution:
    Ratio of initial investments = 1/2 : 1/3 : 1/4 = 6 : 4 : 3.
    Let their initial investments be 6x, 2x and 3x respectively.
    Ratio (6x * 2) + (3x * 10) : (4x * 12) : (3x * 12)
    = 42 : 48 : 36 ==>7 : 8 : 6.
    B’s share = 420 * 8/21 = Rs. 160.
  9. If 8 (P’s Capital ) = 10 ( Q’s Capital ) = 12 ( R’s Capital ) , then out of the total profit of Rs 2590 , Q will receive ?
    A) Rs. 740
    B) Rs. 630
    C) Rs. 840
    D) Rs. 730
    E) None
    View Answer
    Option C
    Solution:
    8p = 10q = 12r
    4p = 5q = 6r
    q = 4p/5
    r = 4p/6 = 2p/3
    P : Q : R = p : 4p/5 : 2p/3
    15:12:10
    Q’s share = 2590 * (12/37) = 70*12 = Rs. 840.
  10. P and Q invested in a business. They earned some profit which they divided in the ratio of 2:3. If P invested Rs.30000, the amount invested by Q is
    A) Rs 40000
    B) Rs 35000
    C) Rs 45000
    D) Rs 50000
    E) None
    View Answer
    Option C
    Solution:
    30,000:Q = 2:3
    Q = 90,000/2 = 45,000

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