Aptitude Questions: Partnership Set 9

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Questions penned by Yogit

1. Three friends A, B, C invested in a business in the ratio of 4:5:6. After 6 months C withdraw half of his capital. If the sum invested by A is 36000, then the profit earned by C out of the total profit of 60000.
   1.20000
   2.30000
   3.40000
   4.50000
   5.None of these
   
   Answer & Explanation

   Answer – 2.30000
   Explanation :
   sum invested by A = 4x = 36000.
   X = 9000
   Investment made by A, B , C – 36000, 45000, 54000
   Ratio in which the profit will divide- 36000*12 : 45000*2 : 54000*6 + 27000*6
   i.e 4:5:9. So C share = (9/18)*60000 = 30000
   
   
   
2. Two persons A and B invested in a business with 115000 and 75000 rupees respectively. They agree that 40% of the profit should be divided equally among them and rest is divided between them according to their investment. If A got 500 rupee more than B, then the total profit is.
   1.3599.34
   2.3699.34
   3.3958.34
   4.3999.34
   5.None of these
   
   Answer & Explanation

   Answer – 3.3958.34
   Explanation :
   Ratio in which the profit will divide – 23:15. Let the profit be P
   now, [(23/38) – (15/38)]*(60/100)*P = 500
   P = 3958.34
   
   
   
3.  P, Q, R invested in the ratio of 6:5:7. After the end of business term they receive the profit in the ratio 3:1:5. Find the ratio of time in which they invested in the business.
   1.34:14:50
   2.35:14:50
   3.35:50:14
   4.14:35:50
   5.None of these
   
   Answer & Explanation

   Answer – 2.35:14:50
   Explanation :
   Take time as t1, t2 and t3
   (6*t1/5*t2) = 3/1, u will get t1/t2 = 5:2
   Similarly, (5*t2/7*t3) = 1/5, u will get t2/t3 = 7/25
   
   
   
4. Three persons enter into a partnership by investing in the ratio of 4:5:8. After one year A invest more 4300 and B withdraws 3200. Now, the ratio of investment changes to 5:4:7. Approximately how much A invested initially.
   1.14555
   2.14655
   3.14755
   4.14855
   5.None of these
   
   Answer & Explanation

   Answer – 3.14755
   Explanation :
   after one year – 4x+4300 : 5x-3200 : 8x
   so, to find X – (4x+4300)/(5x-3200) = 5/4
   so investment made by A = (33200/9)*4 = 14755.55
   
   
   
5. A and B invested rupees 4000 and 5000 respectively in a business. A being an active partner will get rupee 50 every month extra for running the business. In a year if A receive a total of 800 rupee, then what will B get from the business.
   1.250
   2.200
   3.300
   4.400
   5.None of these
   
   Answer & Explanation

   Answer – 1.250
   Explanation :
   Ratio in which the profit will divide – 4:5.
   A will get 50*12 = 600 rupees extra, so from business A got 200 rupees.
   i.e (4/9)*P = 200, P = 450. So B will get 450 – 200 = 250 rupees
   
   
   
6. A and B invested in a business in which A invest 250 rupee more than B. B invested for 6 months while A invested for 4 months. If A get 200 more than B out of a total profit of 1000. Then the total amount invested in the business.
   1.550
   2.650
   3.750
   4.850
   5.None of these
   
   Answer & Explanation

   Answer – 2.650
   Explanation :
   Let B invest ‘x’ rupees so A will invest (x+250)
   Total investment made by A = (x+250)*4 and by B = 6x
   According to the problem- [[4(x+250) – 6x]/(1000+ 10x)]*1000 = 200.
   X = 200. Total investment = 200+250+200 = 650
   
   
   
7. Three partners P, Q and R invest a total sum of 240000. At the end of the year A get 15000 rupee, B get 20000 and C get 25000 rupees as profit. How much amount is invested by A and C together.
   1.10000
   2.13000
   3.16000
   4.18000
   5.None of these
   
   Answer & Explanation

   Answer – 3.16000
   Explanation :
   Ratio in which they get profit – 3:4:5
   So total amount invested by A and C = (8/12)*24000 = 16000
   
   
   
8. A, B and C invested in a business with 40000, 50000 and 60000 rupees respectively. After one year A withdraw 10000 and C invest 5000. After another one year B invest 15000 more and A deposit 5000 more. At the end of 3 years, profit between A, B and C are distributed in the ratio.
   1.21:33:34
   2.21:33:38
   3.21:38:33
   4.33:34:38
   5.None of these
   
   Answer & Explanation

   Answer – 2.21:33:38
   Explanation :
   Investment made by A, B and C are 40000, 50000, 60000 initially.
   In second year – 30000, 50000, 65000
   In third year – 35000, 65000, 65000
   So final ratio – 105000: 165000: 190000. i.e 21:33:38
   
   
   
9. Two persons A and B invested in a business with capital 5000 and 6000 respectively. After 3 months both A and B invests 5000 more. After 3 more months C joins the business with a capital of 10000 rupees.  The share of B exceeds C by how much, if the total profit earned is 47000.
   1.8500
   2.6500
   3.9500
   4.7500
   5.None of these
   
   Answer & Explanation

   Answer – 3.9500
   Explanation :
   A             B                C
   5000        6000
   After 3 months)                 10000        11000
   After 6 months)                                                     10000
   Ratio in which profit is distributed – 35:39:20
   B exceed C by (19/94)*47000 = 9500
   
   
   
10. Rahul got 5000 as his share out of the total profit of 9000. Ramesh had invested 3000 rupees for 6 months while rahul invested for the whole year. Find the amount invested by Rahul.
    1.1875
    2.1975
    3.2125
    4.2275
    5.None of these
    
    Answer & Explanation

    Answer – 1.1875
    Explanation :
    Amount invested by rahul  = P
    12P : 3000*6
    P:1500
    So Rahul share = [p/(1500+p)]*9000 = 5000
    P = 75*25 = 1875