Aptitude Questions: Partnership Set 6

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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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
   
   Answer & Solution

   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
   
   Answer & Explanation

   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
   
   Answer & Explanation

   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
    
    Answer & Explanation

    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