Partnership Questions

  1. A started a business by investing rs.45000. After 6 months B joined business with rs.35000 and profit of the business at the end of the year is rs. 17500. What is profit share of B ?
    4800
    5250
    4900
    12000
    8500
    Option C
    Profit sharing ratio of A and B = (45000 * 12) : (35000 * 6 ) = 18 : 17
    total profit = 17500
    profit of B = 17500 * 7/25 = 4900

     

  2. Three friends A , B and C started a business by investing capital in the ratio of 3 : 4 : 6 for time period of 2 : 5 : 6. What is their profit sharing ratio ?
    5 : 4 : 3
    2 : 3 : 4
    3 : 10 : 8
    3 : 4 : 8
    10 : 5 : 18
    Option C
    Let capital invested A , B and C are 3x and 4x and 6x respectively
    Profit sharing ratio = (3x * 2) : (4x * 5) : (6x * 6 )
    = 6x : 20x : 36x = 3 : 10 : 18 = 3: 10 : 18

     

  3. A , B and C enters into a partnership with a total capital of rs.17400. Capital of C is rs.1400 less than capital of A and capital of C rs.200 more than the capital of B. If at the end of the year total profit of the business is rs.3480, then find difference between profit share A and B ?
    540
    380
    340
    320
    400
    Option D
    Let capital of A = x
    capital of C = x – 1400
    capital of B = x – 1400 – 200 = x – 1600
    x + x – 1400 + x – 1600 = 17400
    3x = 20400
    x = 6800
    capital of A = 6800
    capital of B = 6800 – 1600 = 5200
    capital of C = 6800 – 1400 = 5400
    ratio = 6800 : 5200 : 5400 = 34 : 26 : 27
    difference = 3480 * 8/87 = 320

     

  4. A and B entered into a partnership business by investing rs.8000 and rs.5000 for x months and (x + 2) months respectively. Total profit of the business at the end of the year is rs.3300 and profit share of A is 300 more than profit share of B. Find for how many months A invested capital ?
    8 months
    5 months
    2 months
    9 months
    6 months
    Option E
    Investment ratio of A and B = 8000 : 5000 = 8 : 5
    profit sharing ratio of A and B = 8 * x : 5 ( x + 2) = 8x : 5x + 10
    8x – (5x + 10)/13x + 10 = 300/3300
    3x – 10 /13x + 10 = 1/11
    33x – 110 = 13x + 10
    20x = 120
    x = 6
    A invested his capital for 6 months

     

  5. Ram , Shiva and Hari started a business with capital in the ratio of 8 : 6 : 5. After 8 months Ram withdrawal 25% of capital while Hari increased 20% of his investment . If at the end of the year total profit of business is rs. 14000, then what is the the profit share of Hari ?
    6000
    4000
    8000
    12000
    7000
    Option B
    Let amount invested by Ram , Shiva and Hari = 8x , 6x and 5x
    profit sharing ratio of Ram , Shiva and Hari = (8x * 8 + 6x * 4) : (6x * 12) : (5x * 8 + 6x * 4)
    = 88x : 72x : 64x
    = 11 : 9 : 8
    total profit = 14000
    profit share of Hari = 14000 * 8/28 = 4000

     

  6. A started a business with some amount and after 4 months B joined business with rs.2400. If profit of A at the end of the year is rs.2800 out of the total profit of rs. 4200, then find how much amount invested by A ?
    43000
    24000
    34000
    25000
    32000
    Option E
    Let A invested rs.x
    profit sharing ratio of A and B = (x * 12) : (24000 * 8) = x : 16000
    profit share of A = 2800
    x / x + 16000 = 2800/4200
    3x = 2x + 32000
    x = 32000

     

  7. A and B started a business with capital of rs.8000 and trs.6000 respectively. After 1 1/2 years B left the business while another person C joined the business with capital of rs. 7000. If at the end of the 2 years profit share of C is rs.560 , then what is total profit of the business ?
    4820
    3240
    1350
    4560
    2480
    Option D
    Profit sharing ratio of A , B and C = (8000 * 2) : (6000 * 1.5) : (7000 * .5) = 32 : 18 : 7
    total profit of the business = 560/7 * 57 = 4560

     

  8. Amit and Suraj invested rs. 4000 and rs. 6000 for 8 months and 7 months respectively. Total profit of the business is rs.3330. If they donate 20% of profit to charity fund, after that they distribute profit in their investment ratio, then what is profit share of Suraj ?
    1720
    1240
    1512
    1420
    1250
    Option C
    Profit sharing ratio of Amit and Suraj = (4000 * 8) : (6000 * 7) = 32 : 42 = 16 : 21
    total profit = 3330
    They donate to fund = 3330 * 20/100 = 666
    remaining profit = 3330 – 666 = 2664
    profit share of Suraj = 2664 * 21/37 = 1512

     

  9. A and B started a business with capital of rs.4800 and rs.6000 for 2 years and 1.5 years respectively. Profit share of A how much percent more or less than B ?
    8%
    6 2/3%
    8 1/5%
    4%
    8.5%
    Option B
    Profit sharing ratio of A and B = (4800 * 2) : (6000 * 1.5) = 16 : 15
    percentage more = 1/15 * 100 = 6 2/3%

     

  10. M and N two friends started a partnership business by investing rs.8500 and rs.7000 respectively. M invested his capital for 8 months and N invested for 7 months. If profit of M is rs.760 more than profit of N, then what is profit share of M ?
    2540
    3630
    4500
    2720
    1840
    Option D
    Profit sharing ratio of M and N = (8500 * 8) : (7000 * 7)
    = 68 : 49
    profit share of M = 760/68 – 49 * 68 = 2720

     


Quantitative Aptitude: Partnership Set 24

A started a business by investing rs.45000. After 6 months B joined business with rs.35000 and profit of the business ...

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Quantitative Aptitude: Partnership Set 15

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Quantitative Aptitude: Partnership Set 10

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Quantitative Aptitude: Partnership Set 8

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Quantitative Aptitude: Partnership Set 7

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