Ratio And Proportion
Everything on SkillVeris tagged Ratio And Proportion — collected across the glossary, study notes, blog, and cheat sheets.
22 resources across 1 library
Interview Questions(22)
How to Solve Ratio and Proportion Problems
A ratio compares two quantities (a : b), and a proportion states that two ratios are equal (a : b = c : d); most problems are solved by introducing a common mu…
How to Solve Problems on Ages
Problems on ages are solved by assigning variables to present ages, translating "years ago" and "years hence" into simple linear expressions, and forming equat…
How to Solve Partnership Problems
Partnership problems split profit in the ratio of each partner’s capital multiplied by the time it was invested, so the profit-sharing ratio is capital₁ × time…
How to Solve Mixture and Alligation Problems
Mixture and alligation problems find the ratio in which two ingredients of different values (price, concentration, etc.) must be mixed to hit a target average,…
How to Solve Profit and Loss in Partnership Problems
In a partnership, profit or loss is shared in the ratio of each partner’s capital multiplied by the time it was invested, so Partner Share Ratio = C1 x T1 : C2…
How to Solve Partnership Problems With Time
When partners invest different amounts for different durations, profit is shared in the ratio of each partner’s capital multiplied by the time it was invested,…
How to Solve Ratio Mixing Problems
Ratio mixing problems combine two or more mixtures, each with its own internal component ratio, into a single new mixture — solved by converting every mixture’…
How to Solve Continued Proportion Problems
Three quantities a, b, c are in continued proportion when a:b = b:c, which means b is the mean proportional and b² = a×c, the single identity that solves almos…
How to Solve Direct and Inverse Variation Problems
Direct variation means y = kx, so both quantities rise and fall together proportionally, while inverse variation means y = k/x, so one quantity rises as the ot…
How to Solve Tabular Data Interpretation Problems
A tabular data interpretation problem is solved by first scanning row and column headers to understand what each cell represents, then extracting only the spec…
How to Solve Caselet Data Interpretation Problems
A caselet gives data as a written paragraph rather than a chart or table, so the first task is converting the prose into a small table or set of variables befo…
How to Solve Missing Data Interpretation Problems
Missing data interpretation problems give an incomplete table or chart with one or more blank cells, and are solved by using known totals, row/column relations…
How to Solve Age Ratio Problems Spanning Past and Future
Age ratio problems that give two different ratios at two different points in time — one in the past and one in the future — are solved by assigning present age…
How to Solve Partnership Profit Ratio with Time Problems
When partners invest different amounts for different durations, profit is shared in the ratio of their capital multiplied by the time invested — each partner's…
How to Solve Compound Proportion Problems
Compound proportion problems involve multiple varying quantities (like workers, days, hours, and units of work) linked together, solved by setting up a single…
How to Solve Age Problems Given a Ratio and a Sum
When a problem gives both a ratio and a sum of two present ages, assign the ratio terms a common multiplier x, express the sum as one linear equation in x, sol…
How to Solve Boats Upstream Time-Ratio Problems
Upstream speed equals boat speed minus current speed, downstream speed equals boat speed plus current speed, and since distance is fixed, the ratio of upstream…
How to Solve Races and Relative Start-Distance Problems
In race problems, 'A gives B a start of x meters’ means B only needs to cover (track length − x) while A covers the full track length in the same time, so the…
How to Solve Two-Liquid Mixture Ratio Problems
Mixing two liquids in a given ratio means splitting a total volume proportionally, so if liquid A and liquid B are combined in ratio a:b, liquid A occupies a/(…
How to Solve Three-Liquid Mixture Ratio Problems
A three-liquid mixture in ratio a:b:c splits a total volume into three shares — a/(a+b+c), b/(a+b+c), and c/(a+b+c) — and every three-liquid problem reduces to…
How to Apply the Alligation Rule for Mean Price
The alligation rule finds the ratio in which two ingredients of different prices (or concentrations) must be mixed to achieve a given mean price, using the sho…
How to Solve Alloy and Metal Mixture Problems
Alloy problems treat each metal as a fraction of total weight, the same way liquid mixture problems treat volume, so an alloy that is X% copper by weight conta…