Quantitative Aptitude: Partnership Set 11

  1. A starts business with Rs. 4000 and after 3 months, B joins with A as his partner. After a year, the profit is divided in the ratio 16:15. What is B’s contribution in the capital?
    Rs5000
    Rs4500
    Rs5500
    Rs4000
    None
    Option A
    Solution:
    Let B contribution is x.
    (4000 * 12) /9x=16/15
    x=Rs5000.
  2. A, B and C enter into a partnership. A invests some amount at the beginning. B invests double the amount after 6 months and C invests thrice the amount invested by A after 8 months. They earn a profit of Rs. 36000 at the end of the year. What is B’s share in the profit?
    Rs15000
    Rs14500
    Rs12000
    Rs13000
    None
    Option C
    Solution:
    Let the amount invested by A is x.
    Then ratio x*12 : 2x*6 :3x*4
    =12x:12x:12x
    =1:1:1.
    3—–36000
    1—-?==> Rs12000.
  3. A, B, C rent a pasture. A puts 15 oxen for 6 months, B puts 12 oxen for 5 months and C puts 10 oxen for 8 months for grazing. If the rent of the pasture is Rs. 345, how much must B pay as his share of rent?
    Rs130
    Rs125
    Rs160
    Rs90
    None
    Option D
    Solution:
    A : B : C = 15 * 6 : 12 * 5 : 10 * 8
    = 9:6:8.
    Then
    23—-345
    6—–? ==> Rs90.
  4. A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was
    3:5:9
    5:6:10
    5:8:11
    8:6:9
    None
    Option B
    Solution:
    Ratio (x*4 +2x*8) : (3x*4 +3x/2*8) : (5x*4 +5x/2*8)
    =(4x+16x) : (12x+12x) : (20x+20x)
    =20x : 24x: 40x
    =5:6:10.
  5. In a business, A and C invested amounts in the ratio 1 : 2 , whereas the ratio between amounts invested by A and B was 2 : 3 . If Rs 171000 was their profit, how much amount did C receive?
    Rs76000
    Rs65000
    Rs82000
    Rs70000
    None
    Option A
    Solution:
    A:C=1:2
    A:B=2:3
    Then A:B:C=2:3:4.
    9—–171000
    4——? ==> Rs76000.
  6. X, Y and Z were sharing profits in the ratio 4 : 3 : 2. Y retired from the firm and X and Z decide to share profits in the ratio 3 : 2. Calculate the gaining ratio.
    7:8
    6:5
    7:5
    6:8
    None
    Option A
    Solution:
    Ratio (3/5 – 4/9) : (2/5 – 2/9)
    =(27-20)/45 : (18-10)/45
    =7:8.
  7. Thomas and Mosses enters into a partnership with their capitals in the ratio 10 :7. At the end of 7 months, Thomas withdraws his capital. If they receive their shares profits in the ratio 2 : 1, find out how long Mosses’s capital was invested in the business?
    8 months
    6 months
    5 months
    9 months
    None
    Option C
    Solution:
    Ratio 10x*7 : 7x*y =2:1
    (10x*7x)/(7x*y) =2/1
    y=5 month.
  8. A, B and C enter into a partnership in the ratio 5/2 : 4/3 : 8/5 . After 4 months, A increases his share 20%. If the total profit at the end of one year be Rs. 15,570, then B’s share in the profit is:
    Rs4300
    Rs4900
    Rs5300
    Rs3600
    None
    Option D
    Solution:
    Ratio of the investment initially 5/2 : 4/3: 8/5
    =75:40:48
    Then New ratio
    =(75*4 + 120% of 75 *8 ) : 40*12 : 48*12
    =1020: 40*12 : 48*12
    =255: 120: 144
    519—-15570
    120—–? ==> Rs3600.
  9. Three men A, B and C start a business together. They invest Rs. 20000, Rs. 24000 and Rs. 30000, respectively in the beginning. After 5 months, B took out Rs. 4000 and C took out of Rs. 10000. They get a profit of Rs. 15180 at the end of the year. B’s share in the profit is
    Rs4650
    Rs5720
    Rs4820
    Rs5260
    None
    Option B
    Solution:
    Ratio (20000*12) : (24000*5 + 20000*7) : (30000*5 + 20000*7)
    20000*12 : 260000 : 290000
    24: 26 : 29.
    69——15180
    26——? ==> Rs5720.
  10. A and B are partners in a business. A contributes 2/3of the capital for 15 months and B received 2/7 of the profit. Find for how long B’s money was invested in the business?
    10months
    12months
    8months
    14months
    None
    Option B
    Solution:
    A’s investment =2/3*15
    Then B’s investment=1/3 *x.
    B’s profit=2/7
    Then A’s profit 5/7
    Profit ratio 5:2.
    (2/3* 15) / (1/3*x) = 5/2
    x=12month.


 

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