# Percentage (Aptitude) YouTube Lecture Handouts for Uttarakhand PSC

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

## 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.

25

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

594

3000

339

57,000

16.66%

700

1. X > Y

2. A > B

3. Y < X

4. A = B

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

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?

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