Master Percentages for Mathematics and Competitive Exams

Learn to solve ratio questions with logic, comparing a 1:7 boys-to-girls ratio and 440 students, using traditional and proportional methods.

Apply the total method to ratio questions by turning ratios into fractions and multiplying by the total (40) to find each group's share, linking ratio, fraction, and percentage concepts.

Learn three methods to solve ratio questions—traditional, ratio-to-fraction, and fraction-to-ratio—using 350 girls example. Geared for engineering students preparing for CAD, bank, and cognitive aptitude exams, it emphasizes the best method.

Learn how to solve ratio questions when the difference of ratios is given by using a common multiplying factor to scale the parts, total, and difference.

Explore solving ratio questions when difference of ratios is given, using alternative methods. Lecturer uses a 4:7 boys to girls ratio, finds x from 3x, and confirms totals with 11x.

Master the concept of percentage comparison using one-line methods that relate fractions to percentages, using the total as the base and solving more-than and less-than questions via differences.

Learn a quick percentage comparison trick by rewriting numbers as fractions and using the table of nine patterns to compute percentages like 36.36% and 54.54% for type 1.

Master a trick to solve percentage comparison type 2 using a difference-based and plus-sign approach to convert gaps like 36.36% and 22.22% into the final percent.

Explore a traditional method for percentage comparison using the difference over a base, with 36.36% as 4/11, to compare A and B and determine who is taller or shorter.

Solve a two-step percentage problem where a quantity first decreases by x% and then increases by 28.57% to leave the value unchanged, using the trick from vedic maths and fractions.

Master the simple method to convert a ratio to a fraction and then to a percentage, illustrated with 7:5 and other examples for quick calculation.

Explore the concept of percentage change and simple interest, defining initial and final quantities, calculating change, and identifying profits and losses as positive or negative changes.

Understand change and percentage change, define change percentage as profit relative to initial cost price, and learn profit percentage for mathematics and competitive exams with selling price and data interpretation.

Formulate simple interest using the concept of percentage change, linking change, profit, principal, and time. Derive simple interest formula, with time and rate, showing interest as change upon the principal.

Master successive percentages, initial and final changes, and how price and consumption adjust so the expenditure stays unchanged, using a quick calculation method when the product remains constant.

this lecture shows how a rectangle's area stays constant when length changes by a percentage, requiring the width to adjust using the product principle and a practical trick.

Explore successive percentage, where multiple percentage changes affect an item across transfers, and learn formulas for final versus initial value and sign-bearing changes.

Learn how successive percentages form the cost-price relationships, using a manufacturer-retailer example with 20% then 25% profit, illustrating the 'A-plus plus a 100' formula.

Apply the successive percentage formula to compute combined changes with signs for profit, loss, increase, decrease, markup, and discount, and work through practice questions including a 20% profit example.

Explain applying the successive percentage change formula with one plus and one minus, using 15% loss and 20% profit, and preview cases with both values positive or negative.

This lecture explains how two successive negative percentage changes compound. It uses a ₹1,000 example of 50% off twice to show an overall 75% discount and the corresponding formula.

Explore successive percentage in interest problems through a classic brother-in-law scenario, deriving a combined rate of about 19.09% from a 10% rate and a further 9.09% via the pattern.

Master the second formula of successive percentage and apply it with multiple percentage changes, using length, breadth, and area analogies to relate initial area to final area.

Formulate the second formula of successive percentage for a rectangle by analyzing length, breadth changes, and equating the final area to the initial area expression.

Extends the second success percentage formula to final over initial value as a product of multipliers (1 ± r1/100)(1 ± r2/100), preparing for commodities conversion.

Form the compound interest formula by expressing final amount as principal times the product of (1 + r/100) for each period, i.e., amount = principal times (1 + r/100)^n.

Review and compare two key percentage formulas, convert percentages to fractional forms, and practice solving successive percentage problems to master their application in exams.

Apply three methods to solve a successive percentage problem where a number is decreased by x% and then increased by 38.57%, and find that x equals -18.18%.

Master successive percentage concepts using change fraction and change percentage, illustrated by a petrol price rise from 70 to 80, and learn when to apply fraction or percentage logic.

Compute expenditure changes in successive percentage problems when price rises 25% and consumption falls 25% using the fraction form and the plus method.

Explore how to solve successive percentage questions in mensuration, using area to perimeter relations of a square, and evaluate methods like integer estimation, least common multiple, and a quadratic approach.

Explore successive percentage changes and compute volume changes using the a plus b plus ab over 100 method and the fractional approach, illustrated with a ratio-based room example.

Learn the second, fraction-form method to compute more than two consecutive percentage changes, using multipliers for 25%, 60%, and 20%, and derive the final percentage.

Explains a rectangle problem where a 7:3 length-width ratio undergoes 66.66% area growth and 20% perimeter growth, then derives the new ratio as 7:5 using algebra and quadratic reasoning.

Learn to combine successive percentage changes with value changes, using a price drop for apples and a fixed change in consumption to solve for new price and expenditure.

Learn a verbal method to solve successive percentage change, showing how a 25% price drop buys six more apples for the same money and yields initial and final prices.

Explore successive percentage changes and converting them to change in value, using a 20% fare rise causing a 44.44% drop in passengers and a ₹40 fall in collection.

Explore successive percentage change through a price reduction problem: a 40% drop lets you buy 50 oranges instead of 20, using a verbal method and the unity method.

Master percentages for mathematics and competitive exams revises successive percentage changes and reveals how to identify question types. An example sequence: 20% up, 44.4% down, then x%, ending 63.63% higher.

This lecture revisits a cube volume problem: a 29.5% volume increase translates to about a 9% length increase, yielding an 18.81% rise in total surface area.

Explore how a 1.36% rise in a rectangle's area cannot be used to determine the percentage change in its perimeter, illustrating why some percentage questions cannot be determined directly.

Master the complete concept of percentages by linking ratio and fraction to data interpretation, change, and final value, with applications to profit, loss, simple interest, and successive percentages.