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Partnerships Test 478
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Partnerships Test 478

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  • Question 1/10
    1 / -0.25
    Manoj, Reema and Sara entered into a partnership with investment in the ratio 4: 7: 5. After one year, Doli joined them with investment equal to initial investment of Reema. After further one more year, Sara left the business and Manoj doubled his investment. At the end of three years, they earned a total profit of Rs. 152500. Find the share of Doli in the profit.

    Solutions

    Let the investment amount of Manoj, Reema and Sara be Rs. 4p, Rs. 7p and Rs. 5p respectively.

    Ratio of share in the profit:

    Manoj: Reema: Sara: Doli = (4p x 2 + 8p): (7p x 3): (5p x 2): (7p x 2)

    = 16p: 21p: 10p: 14p

    =16: 21: 10: 14

    Share of Doli in the profit =

  • Question 2/10
    1 / -0.25
    A, B and C start a business. A invests 33% of the total capital, B invests 25% of the remaining, and C invests the rest. If the total profit at the end of the year is Rs.1,86,000, then A's share of the profit (in Rs.) is:
    Solutions

    Let the total capital be Rs. 300x

    A’ s investment = 33% of 300x = Rs. 100x

    B’ s investment = 25% of (300x – 100x) = Rs. 50x

    C’ s investment = 300x – (100x + 50x) = Rs. 150x

    Ratio of investment of A, B and C = 100x : 50x : 150x = 2 : 1 : 3

    Ratio of profit = Ratio of investment = 2 : 1 : 3

    A's share of the profit =

  • Question 3/10
    1 / -0.25
    A, B and C invested Rs. 40,000, Rs. 48000 and Rs. 80,000, respectively, for a business at the start of a year. After six months, for the remaining time of the year, A added Rs. 4,000, B added Rs.4,000 while C withdraw Rs 4,000 every month. If the total profit is Rs. 6,72,000, then what is C’s share (in Rs.)?
    Solutions

    Equivalent capital of A = (40 × 6 + 44 + 48 + 52 + 56 + 60 + 64) × 1000

    = 5,64,000

    Equivalent capital of B = (48 × 6 + 52 + 56 + 60 + 64 + 68 + 72) × 1000

    = 6,60,000

    Equivalent capital of C = (80 × 6 + 76 + 72 + 68 + 64 + 60 + 56) × 1000

    = 8,76,000

    Ratio of profit shares of A, B and C = 564000 : 600000 : 876000

    = 47 : 55 : 73

    Profit share of C =  = Rs. 2,80,320

    Hence, the correct answer is option D.

  • Question 4/10
    1 / -0.25
    A and B start a business. A invests 33 of the total capital and B invests the remaining. If the total profit at the end of the year is Rs1,62,000, then B’s share (in Rs.) is:
    Solutions

    Profit will be divided as ratio of their Capital investment,

    ⇒ Capital ratio A : B =  = 1 : 2

    ⇒ Share of B = 162000 × 2 ÷ 3 = 1,08,000

    Hence, the correct answer is option A.

  • Question 5/10
    1 / -0.25
    The profit earned by a company is to be divided among three friends who invested their money in the company, in the proportion of 6 : 9 : 11 . If the share of the person who invested the most is Rs.2,310, then what is the sum of the money (in Rs.) received by the other two friends?
    Solutions

    Given:

    Ratio of amount invested = 6 : 9 : 11

    Sum of the money received by other two friends

    =  = 210 × 15 = Rs. 3150

    Hence, option B is the correct answer.

  • Question 6/10
    1 / -0.25
    The ratio of the investments of A and B in a business is 7 : 5, and the ratio of their profits at the end of a year is 2 : 5. If A invested the money for 6 months, then for how much time (in months) has B invested his money ?
    Solutions

    Let B invested money for y months

    Ratio of investment = 7 : 5

    Ratio of times = 6 : y

    According to question,

    7 × 6 : 5y = 2 : 5

    ⇒ 2 × 21 : 5y = 2 : 5

    On comparing,

    y = 21

    Hence, option B is the correct answer.

  • Question 7/10
    1 / -0.25
    A, B and C start a business jointly. Twice the capital of A is equal to thrice the capital of B. The capital of B is four times the capital of C. Find the share of B if the annual profit is Rs.2,97,000.
    Solutions

    Given:

    2 × A = 3 × B

    A : B = 3 : 2 …..eq1

    B = 4 × C

    B : C = 4 : 1 …..eq2

    Ratio of A, B and C by eq1 and eq2

    A : B : C = 6 : 4 : 1

    Therefore, required share of B =  =  = 108000 Rs.

  • Question 8/10
    1 / -0.25
    Keshav, Surjeet and Thomas started a business with investments in the ratio 2:3:4. The ratio of their period of investments is 5:6:9. Twenty percent of the profit was spent on rent and maintenance of the office. Remaining profit was distributed among themselves. If the difference in the shares of profit of Keshav and Surjeet is Rs. 7264, then how much is the total profit (in Rs.)?
    Solutions
    Keshav, Surjeet and Thomas started a business with investments in the ratio 2: 3:4. The ratio of their period of investments is 5:6:9.

    20% of the profīt was spent on rent and maintenance of the office. Remaining profit was distributed among themselves. If the difference in the shares of profit of Keshav and Surjeet is Rs. 7264

    According to question:

    ⇒

    ⇒

    ⇒

  • Question 9/10
    1 / -0.25
    Divide Rs 5207 between A and B, so that at the end of 7 years A’s share may equal to B’s share at the end of 9 years, at 25% compounded annually. Find the share of A .
    Solutions

    Let A’s share be X and B’s share be Y

    A = P(1 + R/100)n

    According to question,

    X  (1 + 25/100)⁷ = Y  (1 + 25/100)⁹

    X/Y = (1 + 25/100)²

    X/Y = (125/100)² = 25/16

    So, we will divide Rs 5207 in ratio 25 : 16

    Therefore, A’s share = 25/41 5207 = Rs 3175.

  • Question 10/10
    1 / -0.25
    A and B enter into a partnership for a year. A contributes Rs. 4200 and B Rs. 2400. After 4 months, they admit C who contribute Rs. 3600. If B withdraws his contribution after 8 months, then what is the ratio of their profits at the end of the year?
    Solutions

    Profit sharing ratio = A : B : C
    = 4200×12 : 2400×8 : 3600×8

    = 42×12 : 24×8 : 36×8

    = 42 : 16 : 24

    = 21 : 8 : 12

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