SSC CGL Quant · Study & Practice

Ratio, Proportion & Partnership

AreaArithmetic DifficultyEasy–Moderate SSC weightage3–5 questions

A ratio compares two quantities of the same kind; a proportion says two ratios are equal. The single most useful idea is the common multiplier: if a:b = 3:4, write the quantities as 3x and 4x, and one equation fixes x. Partnership is just ratio applied to money and time — profit divides in the ratio of (capital x months). This chapter builds the multiplier habit that also powers mixtures, ages and partnership.

Topics

1 Ratio Basics 4 worked · 5 practice · 8-Q test Start → 2 Proportion & Variation 4 worked · 5 practice · 8-Q test Start → 3 Dividing in a Ratio 4 worked · 5 practice · 8-Q test Start → 4 Partnership & Profit Sharing 4 worked · 5 practice · 8-Q test Start →

⚡ SSC shortcuts & speed methods

The fastest ways to crack this chapter under time pressure — the techniques that separate a 95+ percentiler from the rest.

  • Always introduce a common multiplier x and form one equation.
  • Combine a:b and b:c by scaling b to its LCM.
  • Partnership: reduce each partner to capital x months, then share in that ratio.
  • Same time invested -> profit splits in the ratio of capitals.

⚠️ Common mistakes & traps

SSC is designed so that careless errors here cost you marks. Internalise each trap before the exam.

  • Adding ratio terms without multiplying by x first.
  • Forgetting to scale the common term when chaining a:b and b:c.
  • Using capital only (ignoring time) in partnership profit sharing.
  • Treating a:b = c:d as a + d = b + c instead of a x d = b x c.

📈 SSC exam insight & PYQ analysis

SSC favours add-to-each ratio sums and capital x time partnership. Coins-in-a-bag and income-expenditure-savings problems recur in Tier 2.

🎴 Flashcards — instant recall

Tap a card to reveal the answer. Drill these until they are automatic.

a:b = c:d means?Tap to reveal
a x d = b x c
Mean proportional of 4 and 16?Tap to reveal
8
Partnership share ratio?Tap to reveal
capital x time
Third proportional to 8, 12?Tap to reveal
18
Divide 350 in 3:4 -> larger?Tap to reveal
200

📌 Quick revision

Use a common multiplier for every ratio sum, equate cross-products for proportion, and remember mean proportional = root(ab). Partnership profit splits as capital x time. These habits also drive mixtures, ages and DI.

Chapter test

📝 Ratio, Proportion & Partnership — Chapter Test
25 fresh questions · timed · full solutions
Start chapter test →
📊 My SSC analytics
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🏆 Vidaara SSC success checklist

You have truly mastered Ratio, Proportion & Partnership when you can tick every box below.

  • Recall every formula in this chapter without looking them up
  • Solve each topic’s practice set with at least 80% accuracy
  • Use the chapter shortcuts to cut your solving time in half
  • Spot and avoid every common trap listed above
  • Score 80%+ on the timed chapter test

📋 Chapter mastery scorecard

Track where you stand. Aim for the target before moving to the next chapter.

Skill checkpointTarget
Concept theory & formulas understood100%
Topic practice sets attempted (4 topics)4/4
Best topic-test score— → 80%+
Chapter test score— → 80%+
Flashcards drilled to instant recall5 cards