Partnership Tests — Pick a Level and Start
Tap a level to see every test in it. Level 1 is set at real SSC CGL difficulty — start there the day you finish the concept. Level 2 is pitched above the exam, to push accuracy under pressure.
Level 1 SSC CGL Level Checking… View tests
Same difficulty as the real SSC CGL paper — one rule applied cleanly per question. Profit divided by capital when the time is equal; capital-month weights when it is not; a chain of multiples down three partners; a partner joining after a few months or leaving before the year ends; capital raised or cut once during the year; a fraction taken off the top for charity; a working partner's management fraction or monthly salary; a sleeping partner's share; skilled labour or goods counted as capital; capitals fixed by a total and two differences; loss shared in the capital ratio; the capital that makes two shares equal; and rent for a pasture shared by animal-months. A steady score here means the chapter is exam-ready.
Level 2 Above SSC CGL Level Checking… View tests
Harder than the exam asks, because every question chains two ideas or runs one backwards. A gap between two shares handed over instead of the profit; a share given as a fraction of another share, which is already the ratio; a joining month or a leaving month recovered from the profit ratio; a management fraction or a monthly salary recovered from a partner's total earning; a share tied to a partner's own capital; two allowances taken out before anything is divided; a partner replaced part-way through the year; three capitals changing at three different months; a second venture funded out of the first venture's shares; and a herd of animals whose size has to be found from one share of the rent. Clear these and the real paper feels easy.
Partnership is one rule wearing a great many costumes. Two or more people put money into a business, and the profit is divided in the ratio of capital multiplied by the time that capital stayed in. Write each partner's weight as C × t, reduce the weights to a ratio, and every question in the chapter becomes dividing a total in a given ratio — which is why it is worth doing straight after ratio and proportion.
Almost all the marks turn on two habits. The first is counting each partner's own months: a partner who joins four months after the start is in for eight, one who leaves at the end of the ninth month is in for nine, and a single year can hold three different counts. The second is noticing what leaves the profit before the division — a charity fraction, a working partner's salary, a management share — because the capital ratio applies to the remainder, never to the whole profit. Each test puts twenty-five partnership questions in front of you in one sitting, which is what makes those two habits automatic.
How Many Partnership Questions Are Asked in SSC CGL?
Partnership is a small chapter with a high strike rate: the shapes repeat, the arithmetic is light, and a question that appears is almost always solvable inside a minute once the weights are written down.
| Chapter | Tier I (out of 25) | Tier II Paper I (out of 30) |
|---|---|---|
| Partnership | 0–1 | 1 |
| Ratio & Proportion | 1–2 | 2–3 |
| Average | 1–2 | 1–2 |
| Mixture & Alligation | 1 | 1–2 |
Counts vary by shift. Partnership rarely carries more than one mark in Tier I, but it is one of the few chapters where the whole syllabus fits on a page — so the sensible target is not to lose that mark rather than to study it at length.
What You Will Practice in the Partnership Chapter
Core topics
- Profit divided in the ratio of the capitals when every partner's money stays in for the same time
- Capital multiplied by months when the periods differ, and reducing the weights to a ratio
- Capitals given as a chain of multiples or fractions instead of amounts
- Profit shares used backwards to recover a capital, or the total capital of the firm
- Each capital scaled by its own fraction, and the new profit ratio
- Investment, time and profit ratios — any two of the three giving the third
- A partner joining after a few months, or two and three joining at staggered dates
- A partner leaving before the year ends, and two leaving at different months
- A partner replaced part-way through, the same capital earning for two owners in turn
- Capital raised or cut by a fraction, or by a fixed sum, once or twice during the year
- An unknown joining or leaving month recovered from the profit ratio
- A fraction of the profit set aside for a charity or a fund before the rest is divided
- A working partner paid a fraction of the profit, or a fixed monthly salary, or both
- A sleeping partner's share, and the management fraction recovered from a total earning
- Non-cash contributions — skilled labour, goods, machinery or premises — valued as capital
- Capitals fixed by a total and successive differences, or share differences read backwards
- Capitals as fractions of the total, with the profit tied to the capital by a fraction
- A second venture funded out of the shares earned in the first
- One sum split between ventures that each return a different fraction
- The capital, or the month, that makes two partners' shares exactly equal
- Loss shared by the same capital-and-time rule as profit
- Rent for a pasture shared by animal-months, with an equivalence between cows, sheep and horses
Formulas worth memorising
| Situation | Formula |
|---|---|
| Equal time for all partners | profit ratio = C₁ : C₂ : C₃ |
| Unequal periods | profit ratio = C₁t₁ : C₂t₂ : C₃t₃ |
| One partner's share | (own weight / total weight) × P |
| Gap between two shares | (difference in parts) × one part |
| Profit from a known share | P = share × (total parts / own parts) |
| Missing time | t ∝ profit / capital |
| Missing capital | C ∝ profit / time |
Capital changed after m months | weight = C₁m + C₂(12 − m) |
A fraction f off the top (charity) | partners divide (1 − f)P |
Working partner, fraction f | fP + (own capital fraction) × (1 − f)P |
Working partner, salary S a year | S + (own capital fraction) × (P − S) |
Both partners take a fraction f | remainder = (1 − 2f)P |
| Effective contribution | cash + stated value of labour, goods or premises |
| Equal shares for two partners | C₁t₁ = C₂t₂ |
| Loss sharing | same rule as profit: C₁t₁ : C₂t₂ |
| Rent by grazing | (animals × months) after converting to one animal |
Only the first two rows are really formulas; the rest are the same rule read in different directions. If capital times time is written down first, every row below it follows by dividing or by scaling.
The three mistakes that cost the most marks
- Giving a late joiner twelve months. “B joined after 4 months” means B's money was in for eight; “A left at the end of the ninth month” means nine. The paper words this differently each time — after four months, four months later, in the fifth month — and the count has to be made from the partner's own entry to his own exit, not from the closing date.
- Dividing the whole profit by the capitals when something has already left it. A charity fraction, a management share and a salary all come off the top; the capital ratio then applies to the remainder. In a question with a working partner, the number to split is
(1 − f)P, and half the wrong options offered are exactly what you get from splittingPinstead. - Not stacking successive differences. If the first invests Rs 6,000 more than the second and the second Rs 3,000 more than the third, the first is Rs 9,000 above the third, not Rs 6,000. The same trap appears with differences between shares, and the distractor for the unstacked reading is always on the paper.
Solved Examples — SSC CGL Partnership
12,000 × 8 = 96,000, Q gives 15,000 × 6 = 90,000 and R gives 18,000 × 5 = 90,000. The ratio 96 : 90 : 90 reduces to 16 : 15 : 15, so there are 46 parts and one part is 27,600 / 46 = Rs 600. P takes 16 parts. Notice that Q and R have different capitals but identical weights, which is why their shares tie. Answer: Rs 9,60036,000 × 12 = 4,32,000. Setting the weight ratio equal to the profit ratio, 4,32,000 / (54,000 × t) = 4/3, which gives 54,000t = 3,24,000 and t = 6 months. B's money was therefore in for 6 months of a 12-month year, so he joined 6 months after the start. Always finish by subtracting from 12 — the months stayed and the months waited are only equal when the year splits in half. Answer: after 6 months30,000 : 50,000 reduce to 3 : 5, so A takes three-eighths of Rs 16,000, that is Rs 6,000. His total is 4,000 + 6,000. B receives only his capital part, Rs 10,000, and the two amounts add back to Rs 20,000 as a check. Splitting the full Rs 20,000 in 3 : 5 would give Rs 7,500 — the standard wrong option. Answer: Rs 10,0005/2 sheep, so A's 20 cows are 50 sheep for 4 months, that is 200 sheep-months. One goat counts as 3/2 sheep, so B's goats are 30 sheep for 4 months, 120 sheep-months, and his sheep give 30 × 6 = 180, making 300 in all. A's fraction is 200 / 500. Converting everything to goats or cows instead gives the same fraction, since only the ratio matters. Answer: two-fifthsHow the Partnership Chapter Tests Work
- 25 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
- Optional 15-minute timer — with the clock to build exam speed, without it while you are still learning the chapter.
- Marking: +2 correct, −0.5 wrong, 0 unattempted — the same scheme as the real paper.
- Solutions, shortcut tricks and concept notes open after you submit, question by question.
- English and हिंदी, chosen at the start of every test.
- Free with a TrickySSC account — sign in once with Google or your mobile number, and every test is open to you.
How to Prepare Partnership for SSC CGL
- Do ratio and proportion first. Partnership is dividing a total in a given ratio, with one extra step in front of it. If ratio is fluent, this chapter takes an evening.
- Write the weights before anything else. Put
C × tunder each partner's name, in thousands if the numbers are large, and reduce. Most questions are finished the moment the weights are on paper. - Count months from each partner's own entry to his own exit. Never assume twelve. A joiner, a leaver and a replacement can all appear in the same question, each with a different count.
- Split the year at every change. A partner who alters his capital once gives two stretches, twice gives three. Add
capital × monthsacross all of them, and remember that two partners changing at different months cannot share one split point. - Ask what leaves the profit first. Charity, salary, management share — all of it comes off the top, and the capital ratio then applies to the remainder only.
- Learn the two partner words. A working partner is paid extra for running the firm; a sleeping partner puts in money only and takes his capital share of what is left.
- Work backwards confidently. A single known share fixes everything: one part is that share divided by its own number of parts, and the whole profit is one part times the total. A gap between two shares works the same way, divided by the difference of the parts.
- For an equal-share condition, set the products equal.
C₁t₁ = C₂t₂answers every question that asks for the capital, or the month, that makes two partners come out level. - Do Level 1 untimed, the same day you finish the theory. It is set at real SSC CGL difficulty; the aim is picking the right method, not speed.
- Repeat Level 1 with the 15-minute clock on, then move to Level 2. After that, verify against a previous year paper and a full mock test under locked sectional timing.
All SSC CGL Chapter Wise Tests
Every chapter below has its own free Level 1 and Level 2 tests with full solutions.
Browse all 45 chapter tests — Maths (35) · Reasoning (10)
- Number System
- Rule of Divisibility
- Remainder Theorem
- Decimal & Fraction
- LCM & HCF
- Square & Cube Root
- Number Series (AP & GP)
- Power, Indices & Surds
- Algebraic Formula
- Algebraic Result
- Algebraic Expression & Identities
- Percentage
- Profit & Loss
- Discount & Marked Price
- Simple Interest
- Compound Interest
- Ratio & Proportion
- Partnership
- Average
- Problems on Ages
- Mixture & Alligation
- Time & Work
- Pipe and Cistern
- Time, Speed and Distance
- Quadratic Equation
- Boat and Stream
- Races
- Trigonometry
- Heights & Distances
- Geometry
- Mensuration
- Coordinate Geometry
- Probability
- Statistics
- Data Interpretation
- All Maths chapters →
SSC CGL साझेदारी (Partnership) चैप्टर टेस्ट — हिंदी में
साझेदारी पूरा अध्याय एक ही नियम पर खड़ा है: लाभ पूँजी और उस समय के गुणनफल के अनुपात में बँटता है जितने समय वह पूँजी व्यवसाय में लगी रही। हर साझेदार के नाम के नीचे C × t लिख लें, भारों को सरल कर लें, और प्रश्न वही रह जाता है जो अनुपात अध्याय में था — किसी कुल राशि को दिए गए अनुपात में बाँटना। इसीलिए इसे अनुपात और समानुपात के तुरंत बाद करना चाहिए।
अंक लगभग पूरी तरह दो आदतों पर टिके हैं। पहली: हर साझेदार के अपने महीने गिनना — जो 4 महीने बाद जुड़ा वह 8 महीने लगा रहा, और जो नवें महीने के अंत में छोड़ गया वह 9 महीने; एक ही वर्ष में तीन अलग गिनतियाँ हो सकती हैं। दूसरी: यह देखना कि बाँटने से पहले लाभ में से क्या निकल जाता है — दान का भाग, कार्यशील साझेदार का वेतन या प्रबंधन भाग — क्योंकि पूँजी का अनुपात शेष राशि पर लगता है, पूरे लाभ पर नहीं।
TrickySSC पर इस अध्याय के सभी टेस्ट हिंदी में उपलब्ध हैं — प्रश्न, विकल्प, विस्तृत हल और शॉर्टकट ट्रिक सब हिंदी में। दो स्तर हैं: लेवल 1 (SSC CGL के स्तर का) और लेवल 2 (SSC CGL से कठिन)। प्रत्येक टेस्ट में 25 प्रश्न, वैकल्पिक 15 मिनट का टाइमर और +2 / −0.5 की वही मार्किंग जो असली परीक्षा में होती है।