Unitary method
Key facts
- Unitary method is a unit-rate method: first reduce the given information to one unit, then scale to the required unit.
- RSSB CET Graduation 2024 lists Unitary Method in the Logical Reasoning and Mental Ability part, close to percentage, ratio and proportion.
- In direct variation, both quantities move in the same direction: more units need more cost, more distance needs more fuel, more days earn more wages.
- In many-to-one direct questions, divide by the given number of units to get the value of one unit.
- In one-to-many direct questions, multiply the value of one unit by the required number of units.
Key Points at a Glance
- 1
Unitary method is a unit-rate method: first reduce the given information to one unit, then scale to the required unit.
- 2
RSSB CET Graduation 2024 lists Unitary Method in the Logical Reasoning and Mental Ability part, close to percentage, ratio and proportion.
- 3
In direct variation, both quantities move in the same direction: more units need more cost, more distance needs more fuel, more days earn more wages.
- 4
In many-to-one direct questions, divide by the given number of units to get the value of one unit.
- 5
In one-to-many direct questions, multiply the value of one unit by the required number of units.
- 6
In inverse variation, one quantity rises while the other falls: more workers reduce time, higher speed reduces travel time for the same distance.
- 7
For work questions, use total work as a constant and compare men, days and hours through work done per unit time.
- 8
For speed-time-distance questions, keep distance fixed when using inverse variation between speed and time.
- 9
Percentage questions become easier when the base is treated as 100 units before applying increase, decrease, profit or loss.
- 10
Ratio questions often hide a unitary step: find one ratio part, then multiply by the required number of parts.
- 11
Profit-loss questions should first identify whether the percentage is on cost price or selling price; standard profit and loss percentages are on cost price unless stated otherwise.
- 12
The exam-safe method is: identify the given unit, required unit, variation type and base before writing the proportion.
Why is the unitary method important for RSSB CET Graduation Level?
The unitary method is important for RSSB CET Graduation Level because it sits inside the official Logical Reasoning, Mental Ability and Basic Numeracy area and quietly drives ratio, percentage, income-expenditure and profit-loss questions. Unitary method belongs in this topic because it is not just a school-arithmetic shortcut; it is explicitly part of the RSSB CET Graduation Level 2024 syllabus under the broad Logical Reasoning, Mental Ability and Basic Numeracy area. According to Rajasthan Staff Selection Board's CET Graduation Level 2024 syllabus, the paper contains 150 questions. The official scheme places it close to percentage, ratio and proportion, which is exactly how the exam uses it. Candidates may not always see a question headed 'unitary method', but they repeatedly meet questions where the only clean solution is to reduce the information to one unit and then scale it to the required value. This is why the topic must be read together with ratio, percentage, income-expenditure and profit-loss, not as a separate formula list.
In the official CET Graduation paper pattern, the reasoning and numeracy block rewards speed and accuracy more than long derivations. A direct unitary question may ask about cost of articles, wages for days, quantity for a fixed rate, or division of an amount in a given ratio. An inverse unitary question may be framed through work and time, speed and time, or number of persons and days. Commercial arithmetic questions also depend on the same logic: if selling price is 80 percent of cost price, first find 1 percent or 100 percent, then move to the required profit or loss target.
The PYQ signal is therefore application-heavy. In the 2024 official master papers, adjacent numeracy questions include profit-loss, ratio change, proportion-style sharing and percentage increase or decrease. In the 2022 official master papers, the same zone of the paper includes income ratios, division of amounts, perimeter-area ratio logic and profit-loss style calculations. That pattern tells a candidate how to study: do not wait for the phrase 'unitary method'. When a question says 'if 5 items cost this much, what will 8 items cost', 'if income is 3/5 of another income', 'if 12 workers finish in 10 days', or 'sold at 20 percent loss for rupees 400', the unitary method is already active.
A graduate-level candidate should treat this chapter as a control method for basic numeracy. Cross-multiplication is allowed, but it is risky when used mechanically. The safer sequence is: identify the given unit, identify the required unit, decide whether the relationship is direct or inverse, and only then multiply or divide. This sequence prevents the most common CET errors: reversing the ratio, applying profit percentage to selling price when it is actually on cost price, using speed-time direct variation when distance is fixed, and mixing old and new percentage bases in income-expenditure questions.
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