Quantitative Aptitude: Partnership Set 9

Quantitative Aptitude Questions for IBPS RRB/PO/Clerk, SBI PO, NIACL, NICL, RBI Grade B/Assistant, BOI, Bank of Baroda and other competitive exams

1. An amount of money is to be divided among A, B and C are in the ratio of 5:11:23 respectively. If the difference between the total share of A and B together and C’s share is Rs3500. What is the difference between B and A’s share?
   A) Rs2800
   B) Rs3950
   C) Rs3000
   D) Rs3500
   E) None
   
   View Answer

   Option C
   Solution:
   Let the shares be 5x,11x and 23x
   C-(A+B) = 3500
   23x -16x = 3500
   7x =3500
   x=500
   Difference between A’s and B’s share = 11x – 5x= 6x= Rs. 3000.
2. A, B, C enter into partnership. A invests some money at the beginning. B invests thrice the amount after 4 month and C invests five times the amount after 6 months. If the annual profit be Rs. 11000, then B’s share is
   A) Rs 3860
   B) Rs 4000
   C) Rs4500
   D) Rs3600
   E) None
   
   View Answer

   Option B
   Solution:
   Let A’s investment Rs. x for 12 month.
   Then B’s investment Rs. 3x for 8 month
   And, C’s investment Rs. 5x for 6 month
   Therefore A : B : C = (x*12 : 3x*8 : 5x*6) = 2:4:5
   B’s share 11   == 11000
   4 ? ==>Rs 4000.
3. A and B invested Rs20,000 and Rs25,000 in a business for 1year and 8month respectively. A being a working partner earned 25/3% profit out of a total profit of Rs 60000 and after this the profit was divided in the ratio of their investments. What is the share of B in the
   annual profit?
   A) Rs18500
   B) Rs20000
   C) Rs25000
   D) Rs28000
   E) None
   
   View Answer

   Option C
   Solution:
   Ratio A:B=20000*12 : 25000*8
   6:5
   A’s share is (25/3)*100*60000=5000
   Remaining profit =60000-5000=55000
   So B get 5/11 * 55000=Rs25000.
4. A, B and C start a business, each investing Rs. 25,000. After 4 months A withdrew Rs. 10,000, B Rs. 5,000 and C invested Rs 5000 more. At the end of the year, a total profit of Rs. 1,64,000 was recorded. What is the share of A?
   A) Rs 44000
   B) Rs 40000
   C) Rs 35000
   D) Rs 36000
   E) None
   
   View Answer

   Option A
   Solution:
   A : B : C = (25000 * 4 + 15000 * 8) : (25000 * 4 + 20000 * 8) : (25000 * 4 + 30000 * 8)
   220:260:340
   = 11: 13 : 17
   A’s Share = Rs. (164000 * 11/41) = Rs. 44,000.
5. A and B are partners in a business. A contributes 2/5 of the capital for 15 months and B received 6/11 of the profit. For how long B’s money was used?
   A) 8
   B) 12
   C) 10
   D) 14
   E) None
   
   View Answer

   Option B
   Solution:
   B receive’s 6/11 of the profit .
   Then A’s profit be 5/11.
   Profit ratio 5:6
   Let the total capital be Rs, X, and B’s money used for ‘m’ months
   (2/5x *15)/(3/5x*m) =5/6
   m=12.
6. Three partners A, B, C start business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 35200 at the end of the year. A’s share is :
   A) Rs15300
   B) Rs16200
   C) Rs14000
   D) Rs19200
   E) None
   
   View Answer

   Option D
   Solution:
   Given 2A=3B==>A:B=3:2
   B=3C==>B:C=4:1
   Then A:B:C=6:4:1
   11 35200
   6 ? ==> Rs19200.
7. A got Rs 6000 as his share out of the total profit of Rs 13000. B had invested Rs 7000 for 8 months while A invested for 10 months. Find the amount invested by A.
   A) Rs 4800
   B) Rs 3600
   C) Rs 2900
   D) Rs3450
   E) None
   
   View Answer

   Option A
   Solution:
   A’s profit 6000 then B’s profit 13000-6000=7000.
   Profit ratio 6:7
   Let the amount invested by A be x.
   (x * 10)/(7000*8)=6/7
   X= 6/7*1400*4
   =Rs4800.
8. A and B entered into partnership with capitals in the ratio 6 : 5. After 4 months, A withdrew 1/6 of his capital and B withdrew 1/5 of his capital. The gain at the end of the year was Rs. 261. A’s share in this profit is:
   A) Rs 164
   B) Rs 152
   C) Rs 144
   D) Rs 135
   E) None
   
   View Answer

   Option C
   Solution:
   A:B = [6x*4 +(6x-1/6 *6x)*8] : [5x*4 +(5x-1/5 *5x)*8]
   (24x+40x) : (20x+32x)
   64x : 52x
   16:13
   A’s share is
   29 == 261
   16 ? ==> Rs 144.
9. P started a business investing Rs. 25,000 in 2011, In 2012, he invested an additional amount of Rs. 10,000 and Q joined him with an amount of Rs. 35,000. In 2013, P invested another additional amount of Rs. 10,000 and R joined them with an amount of Rs. 35,000. What will be Q’s share in the profit of Rs. 1,80,000 earned at the end of 3 years from the start of the business in 2011?
   A) Rs 60000
   B) Rs 55000
   C) Rs 45000
   D) Rs 50000
   E) None
   
   View Answer

   Option A
   Solution:
   Share ratio of P:Q:R
   =(25000*12 + 35000*12 + 45000 *12) : 35000*24 : 35000*12
   =1260000 : 840000 : 420000
   =3:2:1
   Q’s share
   6 180000
   2 ? ==>Rs 60000.
10. A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
    A) 6: 14: 7
    B) 11: 7 : 13
    C) 7: 5: 9
    D) 6: 10 : 5
    E) None
    
    View Answer

    Option D
    Solution:
    Let the initial investments of A and B be 3x and 5x
    A : B : C = (3x * 12) : (5x * 12) : (5x * 6) = 36 : 60 : 30
    = 6 : 10 : 5.

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