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Partnership

Quantitative Aptitude · Maths Bookwise · Commercial Arithmetic

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Partnership

FOUNDATION

Profit shares are proportional to capital × time.

METHOD

Identify the quantities given, choose the exact relationship, calculate in the same unit, then check the answer against the question.

WORKED EXAMPLE 1

A and B invest ₹19000 and ₹4000 for the same 12 months. Their total profit is ₹103500. Find B’s profit (₹).

Capital×time ratio = 19:4. B share = 4/23×103500 = ₹18000.

WORKED EXAMPLE 2

A and B invest ₹11000 and ₹13000 for the same 12 months. Their total profit is ₹127200. Find B’s profit (₹).

Capital×time ratio = 11:13. B share = 13/24×127200 = ₹68900.

IMPORTANT EXCEPTION / COMMON TRAP

If capital changes during the year, split the time intervals.

QUICK REVISION

Profit shares are proportional to capital × time.

SEE MORE: https://study.kundali-iq.com/ssc-maths/partnership/

For complete timed maths practice, use SSC CGL Test Series → New Maths 100 Mixed Sets or Chapter-wise sets. These are independent original questions, not copied previous-year questions.

Practice MCQs

  1. A and B invest ₹19000 and ₹4000 for the same 12 months. Their total profit is ₹103500. Find B’s profit (₹).

    1. 16800
    2. 19200
    3. 18000
    4. 20400

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    Answer: (c) 18000. Capital×time ratio = 19:4. B share = 4/23×103500 = ₹18000.

  2. A and B invest ₹11000 and ₹13000 for the same 12 months. Their total profit is ₹127200. Find B’s profit (₹).

    1. 78086
    2. 68900
    3. 73493
    4. 64307

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    Answer: (b) 68900. Capital×time ratio = 11:13. B share = 13/24×127200 = ₹68900.

  3. A and B invest ₹16000 and ₹3000 for the same 12 months. Their total profit is ₹102600. Find B’s profit (₹).

    1. 16200
    2. 15120
    3. 17280
    4. 18360

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    Answer: (a) 16200. Capital×time ratio = 16:3. B share = 3/19×102600 = ₹16200.

  4. A and B invest ₹17000 and ₹16000 for the same 12 months. Their total profit is ₹19800. Find B’s profit (₹).

    1. 8960
    2. 10880
    3. 10240
    4. 9600

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    Answer: (d) 9600. Capital×time ratio = 17:16. B share = 16/33×19800 = ₹9600.

  5. A invests ₹5000 for 12 months and B invests ₹8000 for 6 months. From a profit of ₹18000, A’s share is?

    1. 10000
    2. 11800
    3. 9100
    4. 10900

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    Answer: (a) 10000. Profit ratio = capital × time.

  6. A invests ₹6000 for 8 months and B invests ₹12000 for 9 months. From a profit of ₹18000, A’s share is?

    1. 4638.46
    2. 5538.46
    3. 7338.46
    4. 6438.46

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    Answer: (b) 5538.46. Profit ratio = capital × time.

  7. A invests ₹8000 for 8 months and B invests ₹8000 for 9 months. From a profit of ₹24000, A’s share is?

    1. 11294.12
    2. 12494.12
    3. 10094.12
    4. 13694.12

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    Answer: (a) 11294.12. Profit ratio = capital × time.

  8. A invests ₹8000 for 8 months and B invests ₹6000 for 12 months. From a profit of ₹30000, A’s share is?

    1. 15617.65
    2. 12617.65
    3. 14117.65
    4. 17117.65

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    Answer: (c) 14117.65. Profit ratio = capital × time.

  9. A invests ₹4000 for 10 months and B invests ₹12000 for 9 months. From a profit of ₹24000, A’s share is?

    1. 6486.49
    2. 7686.49
    3. 8886.49
    4. 5286.49

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    Answer: (a) 6486.49. Profit ratio = capital × time.

  10. A invests ₹4000 for 12 months and B invests ₹6000 for 12 months. From a profit of ₹24000, A’s share is?

    1. 8400
    2. 10800
    3. 9600
    4. 12000

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    Answer: (c) 9600. Profit ratio = capital × time.

  11. A invests ₹8000 for 8 months and B invests ₹10000 for 6 months. From a profit of ₹18000, A’s share is?

    1. 11090.32
    2. 9290.32
    3. 10190.32
    4. 8390.32

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    Answer: (b) 9290.32. Profit ratio = capital × time.

  12. A invests ₹5000 for 10 months and B invests ₹10000 for 9 months. From a profit of ₹24000, A’s share is?

    1. 7371.43
    2. 10971.43
    3. 9771.43
    4. 8571.43

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    Answer: (d) 8571.43. Profit ratio = capital × time.

  13. A invests ₹8000 for 12 months and B invests ₹10000 for 6 months. From a profit of ₹18000, A’s share is?

    1. 11976.92
    2. 10176.92
    3. 11076.92
    4. 12876.92

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    Answer: (c) 11076.92. Profit ratio = capital × time.

  14. A invests ₹8000 for 10 months and B invests ₹12000 for 9 months. From a profit of ₹30000, A’s share is?

    1. 15765.96
    2. 14265.96
    3. 11265.96
    4. 12765.96

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    Answer: (d) 12765.96. Profit ratio = capital × time.

  15. A invests ₹5000 for 8 months and B invests ₹8000 for 12 months. From a profit of ₹36000, A’s share is?

    1. 8788.24
    2. 14188.24
    3. 12388.24
    4. 10588.24

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    Answer: (d) 10588.24. Profit ratio = capital × time.

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Notes and questions are written by Kundali IQ for practice. They are not official papers; always check the latest official notification for the syllabus and pattern.