Quant Questions: Partnership Set 5

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1. Niharika and Kritika investedin a business in the ratio 12 : 5. If 15% of the total profit goes to charity and Niharika’s share is Rs. 1055, the total profit is
   A)Rs.1622.33
   B)Rs.1658.33
   C)Rs.1758.33
   D)None of these
   
   Answer & Solution

   Answer – C)Rs.1758.33
   Solution:
   Total profit(say)= Rs.100.
   After paying to charity, Niharika’s share=85*(12/17)= Rs.60
   If Niharika’s share=60, Total profit=Rs.100
   If Niharika’s share=1055, Total profit= (100/60)* 1055= Rs.1758.33
   
   
   
2. A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:
   A)10:12;15
   B)12:20:25
   C)9:12:25
   D)12:25:20
   
   Answer & Solution

   Answer  – B)12:20:25
   Solution:
   Investments: 2x,4x,5x
   A:B:C=2x*8+2x*4 : 4x*8+(4x/2)*4 : 5x*8+(5x/2)*4
   A:B:C= 12:20:25
   
   
   
3. A,B and C jointly engaged in a business. It was agreed that A would invest Rs. 6500 for 6months, B Rs.8400 for 5 months and C Rs.10000 for 3months. A wants to be a working partner and he was to receive 5% of the profits. The profit earned was Rs.7400. Calculate share of C.
   A)Rs.1700
   B)Rs.1900
   C)Rs.2300
   D)Rs.2000
   
   Answer & Solution

   Answer  – B)Rs.1900
   Solution:
   A received 5% of the profits i.e. 5% of 7400= Rs.370
   Remaining= 7400-370= Rs.7030
   Ratio of investments: 6500*6 : 8400*5 : 10000*3
   Ratio= 13:14:10, Share of C= (10/37)*7030=Rs.1900
   
   
   
4. A, B, C subscribe Rs. 60,000 for a business, A subscribes Rs.8000 more than B and B Rs. 5000 more thanC. Out of a total profit  of Rs. 40,000, A receives :
   A)Rs.20000
   B)Rs.18000
   C)Rs.16000
   D)Rs.14000
   
   Answer & Solution

   Answer – B)Rs.18000
   Solution:
   Let C = x then B = x + 5000  and A =  x + 5000 + 8000 = x + 13000.
   x + x + 5000 + x + 13000 = 60000  <=>  3x = 42000 , x = 14000.
   A : B : C =  27000 : 19000 : 14000 = 27 : 19 : 14
   A’s share = Rs. (40000 * 27/60 ) = Rs.18,000
   
   
   
5. A, B, C rent a pasture. A puts 20 oxen for 8 months, B puts 12 oxen for 6 months and C puts 16 oxen for 4 months for grazing. If the rent of the pasture is Rs. 278, how much must A pay as his share of rent?
   A)Rs.25.11
   B)Rs.50.21
   C)Rs.60.11
   D)None of these
   
   Answer & Solution

   Answer – C)Rs.60.11
   Solution:
   A:B:C = (20*8) : (12*6): (16*4)= 20:9:8
   C’s rent= (8/37) * 278= Rs.60.11
   
   
   
6. 3 partners started a business. Twice the investment of A is equal to thrice the capital of B and capital of B is four times the capital of C. Find the share of B out of profit of Rs.309100.
   A)Rs.102400
   B)Rs.122400
   C)Rs.112400
   D)Rs.123400
   
   Answer & Solution

   Answer – C)Rs.112400
   Solution:
   C=x, B=4x
   2(A’s capital)= 3(B’s capital)= 3*4x
   A’s capital= (3*4x /2) = 6x
   Ratio: 6:4:1
   B’s share= 4/11 * 309100
   
   
   
7. A, B and C enter into a partnership in the ratio  5/2:4/3:7/5 . After 4 months, A increases his share 23%. If the total profit at the end of one year be Rs.31,800, then B’s share in the profit is:
   A)Rs.7548.49
   B)Rs.7548.96
   C)Rs.7548.66
   D)None of these
   
   Answer & Solution

   Answer – B)Rs.7548.96
   Solution:
   Ratio= 75:40:42
   A:B:C = 75x *4+ (123/100 *75x *8) : 40x *12 : 42x*12 = 173: 80 :84
   B’s share= 80/337 * 31800 = Rs. 7548.96
   
   
   
8. A starts business with Rs.4000 and after 6 months B joins with A as his partner. After a year, the profit is divided in the ratio 2:7. What is B’s contribution in the capital?
   A)Rs.5666.66
   B)Rs.3662.66
   C)Rs.4666.66
   D)Rs.1266.66
   
   Answer & Solution

   Answer – C)Rs.4666.66
   Solution:4000 * 12/ 6x) =2/7
   
   
   
9. In a business A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs.261300 was their profit how much amount did B receive?
   A)Rs.12600
   B)Rs.120600
   C)Rs.160200
   D)Rs.123600
   
   Answer & Solution

   Answer – B)Rs.120600
   Solution:
   A:B= 3:2, B:A=2:3= 4:6
   A:C= 2:1= 6:3
   B’s share= 6/13 * 261300
   
   
   
10. A,B and C shared the profit in a business in the ratio 5:7:8 and partnered for 14 months, 8 months and 7 months. Ratio of their invesments is:
    A)19:49:64
    B)20:49:64
    C)20:49:65
    D)20:50:64
    
    Answer & Solution

    Answer – B)20:49:64
    Solution:
    Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months
    14x : 8y : 7z = 5 : 7 : 8
    14x/8y = 5/7
    y = (49/20)x
    14x/7z = 5/8
    z = (16/5)x
    x:y:z = x:(49/20)x:(16/5)x
    20:49:64
    
    
    

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