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Aptitude Questions: Partnership Set 6

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Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Partnership, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!!

  1. A and B starts a business and invests Rs. 20,000 and Rs. 30,000 respectively. B is an active partner and he gets 25% of the profit separately. If their business yields them a total of Rs. 30,000 as profit, what is the share of B at the end of a year?
    A) Rs 18,000
    B) Rs 13,500
    C) Rs 11,500
    D) Rs 21,000
    E) None of these
    D) Rs 21,000
    Explanation:

    Ratio in which they get profits is 20,000 : 30,000 = 2 : 3
    B gets 25% of 30,000 = 7,500
    Profit left which is to be divided in ratio 2 : 3 = 30,000 – 7,500 = 22,500
    Now B gets [3/(2+3)] * 22,500 = 13,500
    So total share of B = 7500+13500

  2. In a business A and C invested amounts in the ratio 3:2, whereas A and B invested amounts in the ratio 4:1. If the total profit at the end of a year is Rs 35,650, find the share of A.
    A) Rs 18,600
    B) Rs 12,600
    C) Rs 16,200
    D) Rs 13,600
    E) Rs 20,700
    A) Rs 18,600
    Explanation:

    B/A = 1/4, A/C = 3/2
    So B : A : C = 1*3 : 4*3 : 4*2 = 3 : 12 : 8
    Share of A = [12/(3+12+8)] * 35,650

  3. 3 partners started a business. The capital invested by B was two-third that of A and also it was thrice the investment of C. Find the share of B out of a total profit of Rs 3,33,200.
    A) Rs 1,02,200
    B) Rs 2,05,600
    C) Rs 67,300
    D) Rs 1,17,600
    E) Rs 1,27,600
    D) Rs 1,17,600
    Explanation:

    Let investment of B = Rs x, then of A = (3/2)*x, and of C = (1/3)*x
    So their profit sharing ratio A : B : C =
    (3/2)*x : x : (1/3)*x = 9 : 6 : 2
    Share of B = [6/(9+6+2)] * 333,200

  4. A starts a business with Rs 20,000 and after 4 months B also joins with some capital. After a year, the profit is divided between them in the ratio 5 : 3. How much did B invested?
    A) Rs 12,000
    B) Rs 18,000
    C) Rs 15,050
    D) Rs 12,750
    E) Rs 15,800
    B) Rs 18,000
    Explanation:

    Let B invests Rs x, then ratio of their profits
    20000*12 : x*8 = 30,000 : x
    So 30,000/x = 5/3
    Solve, x = 18,000

  5. A, B and C enter into a partnership in the ratio 2 : 3 : 5 . After 2 months, A increases his share 20% and B by 10%. If the total profit at the end of one year is Rs 1,90,500, what is the share of C at the end of year?
    A) Rs 45,000
    B) Rs 90,000
    C) Rs 58,500
    D) Rs 79,600
    E) Rs 65,900
    B) Rs 90,000
    Explanation:

    Let amounts invested be 2x, 3x, 5x resp.
    Then ratio of profits =
    A : B : C
    2x*2 + (120/100)*2x*10 : 3x*2 + (110/100)*3x*10 : 5x*12
    28x : 39x : 60x
    C’s share = [60/(28+39+60)] * 190500

  6. A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money. Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?
    A) 91 : 60 : 85
    B) 61 : 81 : 72
    C) 65 : 80 : 74
    D) 84 : 80 : 81
    E) None of these
    E) None of these
    Explanation:

    A’s share : B’s share : C’s share
    50*4 + (50/2) * 8 : 45*6 + (45/2) * 6 : 70*6
    80 : 81 : 84

  7. A and B started a business by investing Rs 8,000 and Rs 9,000 respectively. After 4 months A withdrew Rs 400 and B added Rs 400 more. What is the share of B from the profit of Rs 10,200?
    A) Rs 5460
    B) Rs 5480
    C) Rs 5560
    D) Rs 4460
    E) Rs 4640
    C) Rs 5560
    Explanation:
    8000*4 + 7600*8 : 9000*4 + 9400*8
    116 : 139
    Share of B = 139/(116+139) * 10200 = 5560

  8. Out of a total profit of Rs 12,000, A received Rs 8000 as his share. If A invested Rs 20000 for 6 months while B invested his amount for the whole year, then find the amount that B invested.
    A) Rs 6,000
    B) Rs 7,000
    C) Rs 6,500
    D) Rs 5,000
    E) None of these
    D) Rs 5,000
    Explanation:

    Profits ratio = 8000 : 4000 = 2 : 1
    So
    20,000*6 : x*12 = 2 : 1
    10000/x = 2/1
    x = 5,000

  9. The profit received at the end of a year is divided among A, B and C in the ratio 5:4:7 respectively. The share of A is Rs 2300 more than that of B. What is the amount that C got?
    A) Rs 26,100
    B) Rs 16,800
    C) Rs 14,100
    D) Rs 16,100
    E) Rs 19,140
    D) Rs 16,100
    Explanation:

    Their shares are 5x, 4x, 7x resp.
    5x – 4x = 2300
    x = 2300
    So C got 7*2300

  10. In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?
    A) Rs 5100
    B) Rs 4170
    C) Rs 5720
    D) Rs 2100
    E) None of these
    C) Rs 5720
    Explanation:

    Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.
    Contribution of C = 1 – (1/4 + 1/5) = 11/20
    So A’s share : B’s share : C’s share
    1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
    1/16 : 1/10 : 11/20
    5 : 8 : 44
    Share of C in profit = 44/(5+8+44) * 7410 = 5720