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Ratio and Proportion

Quantitative Aptitude · Maths Bookwise · Arithmetic

Useful for: SSC CGL

BOOK-GUIDED ORIGINAL SSC MATHS PRACTICE — Ratio and Proportion

FOUNDATION

If A:B = a:b, their shares of total T are aT/(a+b) and bT/(a+b).

METHOD

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

WORKED EXAMPLE 1

₹612 is divided between A and B in ratio 7:11. Find A’s share (₹).

Total parts = 7+11=18; A gets 7/18 × 612 = ₹238.

WORKED EXAMPLE 2

₹1062 is divided between A and B in ratio 10:8. Find A’s share (₹).

Total parts = 10+8=18; A gets 10/18 × 1062 = ₹590.

IMPORTANT EXCEPTION / COMMON TRAP

A ratio represents parts, not absolute amounts.

QUICK REVISION

If A:B = a:b, their shares of total T are aT/(a+b) and bT/(a+b).

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

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. ₹612 is divided between A and B in ratio 7:11. Find A’s share (₹).

    1. 223
    2. 253
    3. 268
    4. 238

    Read chapter notes · Similar questions

    Show answer

    Answer: (d) 238. Total parts = 7+11=18; A gets 7/18 × 612 = ₹238.

  2. ₹1062 is divided between A and B in ratio 10:8. Find A’s share (₹).

    1. 668
    2. 590
    3. 551
    4. 629

    Read chapter notes · Similar questions

    Show answer

    Answer: (b) 590. Total parts = 10+8=18; A gets 10/18 × 1062 = ₹590.

  3. ₹143 is divided between A and B in ratio 5:8. Find A’s share (₹).

    1. 52
    2. 58
    3. 61
    4. 55

    Read chapter notes · Similar questions

    Show answer

    Answer: (d) 55. Total parts = 5+8=13; A gets 5/13 × 143 = ₹55.

  4. ₹170 is divided between A and B in ratio 3:7. Find A’s share (₹).

    1. 51
    2. 54
    3. 48
    4. 57

    Read chapter notes · Similar questions

    Show answer

    Answer: (a) 51. Total parts = 3+7=10; A gets 3/10 × 170 = ₹51.

  5. A sum of ₹64 is divided between A and B in the ratio 3:5. How much does A receive

    1. ₹16
    2. ₹32
    3. ₹40
    4. ₹24

    Read chapter notes · Similar questions

    Show answer

    Answer: (d) ₹24. A receives 3/(3+5) × 64 = ₹24.

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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.