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Partnership

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Question
SSCCGLENQA12043079
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A and B enter into partnership with capitals in the ratio 5 : 6. At the end of 8 months A withdraws his capital. They received profits in the ratio 5 : 9. B invested the capital for

  • 6 months

  • 8 months

  • 10 months

  • 12 months

Solution

D.

12 months

Profit sharing ratio = CATA : CBTB
                   5 : 9  = 5 x 8 : 6 x TB
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Question
SSCCGLENQA12042583
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A and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B's. At the end of the year what will be the ratio of their profits?

  • 6 : 10 : 5

  • 3 : 5 : 2

  • 8 : 10 : 5

  • 3 : 5 : 5

Solution

A.

6 : 10 : 5

A's investment = Rs. 3x
B's investment = Rs. 5x
C's investment  = Rs. 5x
According to the question,
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Question
SSCCGLENQA12043266
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A and B jointly made a profit of Rs. 1650 and they decided to share it such that 1 third of A's profit is equal to 2 over 5 of B's profit. Then profit of B is

  • Rs. 700

  • Rs. 750

  • Rs. 850

  • Rs. 800

Solution

B.

Rs. 750

Let B's profit be Rs. x
∴    A's profit  = Rs. (1650 - x)
According to the question,
  fraction numerator 1650 minus straight x over denominator 3 end fraction space equals space fraction numerator 2 straight x over denominator 5 end fraction
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Question
SSCCGLENQA12042975
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A and B started a business by investing ₹ 3,50,000 and ₹ 1,40,000 respectively. A gets 20% of the yearly profit for managing the business. Thereafter the profit is divided in the ratio of the capital. If A receives totally ₹ 38,000 more than B at the end of a year, then the profit is

  • ₹ 28,000

  • ₹ 2,80,000

  • ₹ 1,05,000

  • ₹ 70,000

Solution

D.

₹ 70,000

Let the total profit be Rs. x
Now, A gets 20% profit for managing business = open parentheses 20 over 100 cross times space straight x space equals space straight x over 5 close parentheses
Remaining profit = open parentheses straight x minus straight x over 5 space equals space fraction numerator 4 straight x over denominator 5 end fraction close parentheses
Thereafter, remaining profit will be distributed in the profit sharing ratio.
i.e. (350000 : 140000) = 5 : 2
∴  A's total share =open parentheses straight x over 5 space plus space open parentheses 5 over 7 cross times fraction numerator 4 straight x over denominator 5 end fraction close parentheses close parentheses space equals space Rs. space fraction numerator 27 straight x over denominator 35 end fraction space space space space... left parenthesis straight i right parenthesis
straight B apostrophe straight s space share space equals space 2 over 7 space cross times space fraction numerator 4 straight x over denominator 5 end fraction space equals space Rs. space fraction numerator 8 straight x over denominator 35 end fraction space space space... left parenthesis ii right parenthesis
∴   Difference
    (i) - (ii) = 38000
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Question
SSCCGLENQA12042468
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A, B and C together start a business. Three times the investment of A equals four times the Investment of B and the Capital of B is twice that of C. The ratio of share of each in the profit is

  • 8 : 3 : 6

  • 3 : 8 : 6

  • 3 : 6 : 8

  • 8 : 6 : 3

Solution

D.

8 : 6 : 3

According to the question,
Three times the investment of A equals four times the investment of B
3A = 4B
⟹  A : B = 4 : 3  ...(i)
B's Capital is twice C's capital.
∴    B : C = 2 : 1   ...(ii)
∴  A : B : C = 4 x 2 : 3 x 2 : 3 x 1 = 8 : 6 : 3

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