Aptitude Questions: Partnership Set 8

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. 2 friends – A and B invested in a business by investing Rs 4000 and Rs 6000 respectively. After 8 months, A added Rs 400 more and B withdrew Rs 400. What is the profit of B from a total profit of Rs 14,250 after the end of a year?
   A) Rs 8,090
   B) Rs 10,500
   C) Rs 9,500
   D) Rs 8,360
   E) Rs 7,850
   
   Answer & Explanation

   D) Rs 8,360
   Explanation:
   A : B
   4000*8 + 4400*4 : 6000*8 + 5600*4
   31 : 44
   So B gets = (44/75) * 14,250
   
   
   
2. 2 friends – A and B invested in a business by investing Rs 10,000 and Rs 12,000 respectively. After 8 months, both took out Rs 2,000. What is the profit of B from a total profit of Rs 24,800 after the end of a year?
   A) Rs 13,600
   B) Rs 12,600
   C) Rs 16,200
   D) Rs 13,800
   E) Rs 20,700
   
   Answer & Explanation

   A) Rs 13,600
   Explanation:
   A : B
   10000*8 + 8000*4 : 12000*8 + 10000*4
   14 : 17
   So B gets = (17/31) * 24,800
   
   
   
3. 3 partners started a business. A, B and C invested Rs 5000, Rs 6000 and Rs 7000 respectively. After 4 months all invested the same amount as before for another 4 months. And then each of them invested Rs 1000 more. If after a year a total profit of Rs 46,500 is made, what is the profit of C?
   A) Rs 20,000
   B) Rs 16,700
   C) Rs 17,050
   D) Rs 18,000
   E) Rs 18,500
   
   Answer & Explanation

   D) Rs 18,000
   Explanation:
   5000*4 +10,000*4 + 11,000*4 : 6000*4 +12,000*4 + 13,000*4 : 7000*4 +14,000*4 + 15,000*4
   26 : 31 : 36
   So C gets = (36/93) * 46,500
   
   
   
4. 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) A
   B) B
   C) C
   D) Cannot be determined
   E) None of these
   
   Answer & Explanation

   E) None of these
   Explanation:
   If A invested Rs x, then B Rs (x/2) and C invests Rs (x/3).
   Let B invested for y months, then A for (y/2)months, and C for (y/3) months
   So ratio of profit shares-
   A : B : C
   x*(y/2) : (x/2)*(y) : (x/3)*(y/3)
   1/2 : 1/2 : 1/9 = 9 : 9 : 2
   Both A and B gets equal and highest profits.
   
   
5. Out of the total investment, A invested 1/4th , B invested 1/3rd of the remaining and C the remaining. B earned Rs 10,000 after a year. Find the yearly profit of all.
   A) Rs 45,000
   B) Rs 40,000
   C) Rs 58,500
   D) Rs 49,600
   E) Rs 65,900
   
   Answer & Explanation

   B) Rs 40,000
   Explanation:
   Let total investment = Rs x
   Then A’s = (1/4)*x
   Remaining = 3/4th of x
   So B’s investment = (1/3)*(3x/4) = x/4
   And C’s = x – (x/4 + x/4) = x/2
   so ratio of profits = x/4 : x/4 : x/2 = 1 : 1 : 2
   so 1/4 * x = 10,000
   x = 40,000
   
   
   
6. A and B invested Rs 20,000 and Rs 25,000 in a business for 1 year and 8 months respectively. A being a working partner earned 25/3% profit out of a total profit of Rs 60,000 and after this the profit was divided in the ratio of their investments. What is the share of B in the annual profit?
   A) Rs 30,000
   B) Rs 26,000
   C) Rs 25,600
   D) Rs 27,800
   E) Rs 25,000
   
   Answer & Explanation

   E) Rs 25,000
   Explanation:
   A’s share : B’s share
   20,000*12 : 25,000*8
   6 : 5
   A got its salary as = [(25/3)/100] * 60,000 = 5000
   Remaining profit = 60,000 – 5000 = 55,000
   So B gets = 5/11 * 55000
   
   
7. Out of a total profit of Rs 19,600, B received Rs 10,000 as his share. If A invested Rs 8,000 for 6 months while B invested his amount for 5 months, then what is the amount invested by B?
   A) Rs 6,000
   B) Rs 8,500
   C) Rs 8,500
   D) Rs 10,000
   E) None of these
   
   Answer & Explanation

   D) Rs 10,000
   Explanation:
   Profits ratio = 8000*6 : x*5 = 9600 : x
   So
   [x/(9600+x)] * 19,600 = 10,000
   Solve, x = 10,000
   
   
8. A, B and C received their profit shares in the raio 4 : 6 : 9 respectively. A and B received a total of Rs 60,000. What is the amount that C and A got together?
   A) Rs 66,000
   B) Rs 90,000
   C) Rs 54,000
   D) Rs 78,000
   E) Rs 59,140
   
   Answer & Explanation

   D) Rs 78,000
   Explanation:
   Their shares are 4x, 6x, 9x resp.
   4x + 6x = 60,000
   x = 6,000
   So C got 9*6000 = 54,000 and A got 4*6000 = 24000
   So total = 78,000
   
   
9. 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 500 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 A in the total profits?
   A) Rs 9,500
   B) Rs 11,500
   C) Rs 10,800
   D) Rs 10,000
   E) Rs 12,800
   
   Answer & Solution

   C) Rs 10,800
   Explanation:
   After a year C gets salary = 500*6 = Rs 3,000 [Since C was for 6 months in the business with each month earning 500]
   So 10% of total profit after a year = 3,000
   Total profit = Rs 30,000
   A invested for 12 months, B for 12, and C for 6 months
   Ratio of profit shares =
   4*12 : 3*12 : 6*6 = 4 : 3 : 3
   Profit left after deducting salary of C = 30,000 – 3,000 = 27,000
   So share of A = [4/(4+3+3)] * 27,000
   
   
10. A, B and C invested Rs 1000 for 8 months, Rs 1200 for 6 months and Rs 1500 for some months. Out of a total profit of Rs 5,675 as profit, A received Rs 2000. For how much months did C invested?
    A) 7
    B) 4
    C) 5
    D) 6
    E) None of these
    
    Answer & Explanation

    C) 5
    Explanation:
    1000*8 : 1200*6 : 1500*x
    80 : 72 : 15x
    So 80/(80+72+15x) * 5675 = 2000
    Solve, x = 5