Ratio and Proportion

Basics click here

Election and Vote Problems click here 

Coin and value problems part 1 click here

Coin and value problems part 2 click here

Ratio and Proportion basics

ratio is a comparison of two like terms in its simplest form

Vedhaansh salary is 20000, thanvi salary is 25000.

 Ratio of vedhaansh and thanvi salary is 

20000:25000

=4:5.

Ratio should always be in the simplest form

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The sum of two numbers is 117, the two numbers are in the ratio 6: 7.

find the numbers?

Simplification

Study all the basics

• BODMAS  CLICK HERE


• TEST OF DIVISIBILITY CLICK HERE


• MULTIPLICATION SHORTCUT CLICK HERE


• LEARN SQUARES CUBES FROM 1 TO 30 CLICK HERE


• SQUARE SHORTCUT CLICK HERE


• CUBE SHORTCUT CLICK HERE


• SQUAREROOT SHORTCUT CLICK HERE


• CUBEROOT SHORTCUT CLICK HERE


• MIXED FRACTION CLICK HERE


• ALGEBRA CLICK HERE


• UNIT DIGIT OF A NUMBER RAISED TO POWER CLICK HERE


• PERCENTAGES CLICK HERE

Exam  will be posted today evening

Learn Squares and cubes from 1 to 30

Learning Squares and cubes from 1 to 30 is very useful, because most of the times perfect squares and cubes are included in simplification problems

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Number	Square	Cube
1	1	1
2	4	8
3	9	27
4	16	64
5	25	125
6	36	216
7	49	343
8	64	512
9	81	729
10	100	1000
11	121	1331
12	144	1728
13	169	2197
14	196	2744
15	225	3375
16	256	4096
17	289	4913
18	324	5832
19	361	6859
20	400	8000
21	441	9261
22	484	10648
23	529	12167
24	576	13824
25	625	15625
26	676	17576
27	729	19683
28	784	21952
29	841	24389
30	900	27000

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Simplification Problems with percentages

Here we discuss percentages only required for simplification problems, 

Percentages topic in detail will be discussed separately according to studyplan

Percentage Formula:

Example: what is 85 % of 680?

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Trick 1 : Learning percentage to fraction conversion, helps you solve simplifications quickly

Some fractions are asked frequently, they are given below, learn them and remember them

½     = 50%
$\frac{1}{3} = 33\,\frac{1}{3}\%$	$\frac{2}{3} = 66\,\frac{2}{3}\%$
$\frac{1}{4} = 25\%$	$\frac{3}{4} = 75\%$
$\frac{1}{5} = 20\%$	$\frac{2}{5} = 40\%$	$\frac{3}{5} = 60\%$	$\frac{4}{5} = 80\%$
$\frac{1}{6} = 16\,\frac{2}{3}\%$	$\frac{5}{6} = 83\,\frac{1}{3}\%$
$\frac{1}{7} = 14\,\frac{2}{7}\%$	$\frac{2}{7} = 28\,\frac{4}{7}\%$	$\frac{3}{7} = 42\,\frac{6}{7}\%$	$\frac{4}{7} = 57\,\frac{1}{7}\%$
		$\frac{5}{7} = 71\,\frac{3}{7}\%$	$\frac{6}{7} = 85\,\frac{5}{7}\%$
$\frac{1}{8} = 12\,\frac{1}{2}\%$	$\frac{3}{8} = 37\,\frac{1}{2}\%$	$\frac{5}{8} = 62\,\frac{1}{2}\%$	$\frac{7}{8} = 87\,\frac{1}{2}\%$
$\frac{1}{9} = 11\,\frac{1}{9}\%$	$\frac{2}{9} = 22\,\frac{2}{9}\%$	$\frac{4}{9} = 44\,\frac{4}{9}\%$	$\frac{5}{9} = 55\,\frac{5}{9}\%$
		$\frac{7}{9} = 77\,\frac{7}{9}\%$	$\frac{8}{9} = 88\,\frac{8}{9}\%$
$\frac{1}{10} = 10\%$	$\frac{3}{10} = 30\%$	$\frac{7}{10} = 70\%$	$\frac{9}{10} = 90\%$
$\frac{1}{11} = 9\,\frac{1}{11}\%$	$\frac{2}{11} = 18\,\frac{2}{11}\%$	$\frac{3}{11} = 27\,\frac{3}{11}\%$	$\frac{4}{11} = 36\,\frac{4}{11}\%$
$\frac{1}{12} = 8\,\frac{1}{3}\%$

Example

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TRICK 2

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TRICK 3

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