# Percentage (Aptitude) YouTube Lecture Handouts for PAR

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Watch Video Lecture on YouTube: Percentage Basics - 1 Key Trick (For Aptitude): Working and Thinking in Relative Quantities

Percentage Basics - 1 Key Trick (For Aptitude): Working and Thinking in Relative Quantities

## Relative Quantities- Fractions, Rations & Percent

Addition & subtraction

## Key Ideas

Fractions, Rations and percent- relative quantities

Relative quantities and absolute quantities are not to be mixed.

Relative quantities can be added or subtracted

x represents the unknown in the relative quantity.

## What Percent is 60 of 240?

25

## Find Sales Tax @ 20% from a Gross Figure of Rs. 1600?

320

## If 50% of (X-Y) = 30% of (X+Y), then What Percent of X is Y

25%

If 10% of a number is added with itself then result becomes 1331. Find the original number.

1210

## 60% of a Number is 360. What is 99 % of the Same Number?

594

## If 15% of a Number is Subtracted from Itself then Result Becomes 2550. Find the Original Number

3000

## If 39 is Added in a Number, It Becomes 113 % of Itself. Find the Number

339

## A House Sold for 357000 Dollars, Produces a Profit of 19%, Find the Profit?

57,000

## 40% of 70 is What % More Than 30% of 80?

16.66%

## A Fruit Seller Had Some Apples. He Sells 40% Apples and Still Has 420 Apples. Originally, He Had?

700

## If a = X% of Y and B = Y% of X, Then

X > Y

A > B

Y < X

A = B

## A Number Exceeds 20% of Itself by 40. Find the Number?

50

## A Man Multiplied a Number by 7/4 Instead of 3/5. What is % Error?

19.16%

The total salary of A and B is Rs. 1500. A spent 90% of his income and B spent 80% of his income. The ratio of saving is 3:4. Find the ratio of their salary. What is their absolute salary?

3:2 or 900:600

## If a Exceeds B by 40%, B is Less Than C by 20%, then a: C Is

28:25

## Next Class: % Change, Income & Consumption

The price of sugar decreases by 30%. By what % the consumption should increase so that expenditure decreases only by 10%?

A man spends Rs. 5700 from his income of Rs. 8550. If his income and expenditure are increased by 19% and 13%. Find the % change in saving?

-Mayank