MATHS SHORTCUT TRICKS FOR EXAM
PERCENTAGE CHAPTER MATHS
TRICKS
Basically on previous article
we provide the profit and loss and work and time tricks now, we
are provide percentage chapter of maths that is very useful in all exams and
8-10 no. of question are asked from that chapter.
With the help of percentage
tricks we can apply is to the various form like ratio, profit loss, time and
distance, graphs, pie chart etc these are basically are the form of percentage
and if you clear the basic concept it will be beneficial in many ways.
so,
first what is percentage
DEFINITION
a percentage is a number or ratio expressed as a fraction of 100.
if we have to convert percentage into fraction than it is divide by 100.
a percentage is a number or ratio expressed as a fraction of 100.
if we have to convert percentage into fraction than it is divide by 100.
Example 1 :- if we write 45% then its equal to
45/100 or in fraction 9/20 or in decimal 0.45
if we have to convert fraction into percentage we have to multiple with 100.
Example 2 :- if we write 3/5 in fraction it is equal to 60%
3/5x100=60.
READ AND LEARN FOLLOWING TABLE as also known as conversion table of percentage. Learn this table it help you a lot to solve many problem.
the following fraction in red colour are MOST IMPORTANT.
if we have to convert fraction into percentage we have to multiple with 100.
Example 2 :- if we write 3/5 in fraction it is equal to 60%
3/5x100=60.
READ AND LEARN FOLLOWING TABLE as also known as conversion table of percentage. Learn this table it help you a lot to solve many problem.
the following fraction in red colour are MOST IMPORTANT.
|
Fraction
|
Percentage
|
|
1/1
|
100%
|
|
1/2
|
50%
|
|
1/3
|
33.33%
|
|
1/4
|
25%
|
|
1/5
|
20%
|
|
1/6
|
16.66%
|
|
1/7
|
14.28%
|
|
1/8
|
12.5%
|
|
1/9
|
11.11%
|
|
1/10
|
10%
|
|
1/15
|
6.66%
|
|
1/20
|
5%
|
|
1/25
|
4%
|
|
1/30
|
3.33%
|
|
1/40
|
2.5%
|
|
1/50
|
2%
|
|
1/60
|
1.66%
|
|
1/75
|
1.33%
|
|
1/80
|
1.25%
|
|
1/90
|
1.11%
|
|
1/100
|
1%
|
by this conversion table we can change fraction into percentage and percentage into fraction
EX:- if we have to find 2/5 in %?
In the table we know
that 1/5=20%
then, if we multiply both by 2
then we have 1/5x2 = 2x20%
answer is 2/5 = 40%
so, you only to know basic fraction and percentage that given above.
in the inverse
Ex. If we have to find out 1/15 fraction in percentage%?
then, if we multiply both by 2
then we have 1/5x2 = 2x20%
answer is 2/5 = 40%
so, you only to know basic fraction and percentage that given above.
in the inverse
Ex. If we have to find out 1/15 fraction in percentage%?
In the table we have
1/5 = 20%
then both side
multiple by 1/3
we get 1/15 = 6.66%
SOME BASIC QUESTION THAT IS ALWAYS ASKED IN THE EXAMS
SOME BASIC QUESTION THAT IS ALWAYS ASKED IN THE EXAMS
TYPE 1.
if there is increase of X% and subsequently X% decrease then there is always loss / decrease in the condition.
ex. If rohan salary is increase by 50% and subsequently decrease by 50%. How much percentage loss?
ans. By trick ---- 50x50/100= 25% decrease/loss
TYPE 2.
if A is P% more than B. then B is less than by A
with P/(100+P)x100
if there is increase of X% and subsequently X% decrease then there is always loss / decrease in the condition.
ex. If rohan salary is increase by 50% and subsequently decrease by 50%. How much percentage loss?
ans. By trick ---- 50x50/100= 25% decrease/loss
TYPE 2.
if A is P% more than B. then B is less than by A
with P/(100+P)x100
ex. If radha earning is 25% more than sita. Then sita earning is how many percentage less then by radha?ans. By trick ---- 25/(100+25)x100=20%
TYPE 3.
If A is P% less than
B. then B is more than by A
with P/(100-P)x100
with P/(100-P)x100
ex. If golu age is 20% less than gita than gita age is how many percentage more than golu?
ans. By trick ---- 20/(100-20)x100=25%
TYPE 4.
if there is p% increase in price . how much % decrease his consumption so that his expenditure on it does not change.
formula P/(100+P)x100
ex. If petrol price increase by 25%. How much percentage a person reduced his consumption so that his expenditure on it does not increase?
ans. 25/(100+25)x100=20%
if there is p% increase in price . how much % decrease his consumption so that his expenditure on it does not change.
formula P/(100+P)x100
ex. If petrol price increase by 25%. How much percentage a person reduced his consumption so that his expenditure on it does not increase?
ans. 25/(100+25)x100=20%
TYPE 5.
if there is p% decrease in price . how much % increase his consumption so that his expenditure on it does not change.
formula P/(100-P)x100
ex. If there is 30% decrease in eggs price. How much a person increased his consumption so that his expenditure on it does not increase?
ans. 30/(100-30)x100=42.85
TYPE 6.
Ex. If suman need 36%
minimum mark to passed a exam but she score 24% mark and fail by 9 marks. What
is the total mark?
ans. Difference in % = difference in mark
ans. Difference in % = difference in mark
In that 36%-24%=12%
that is 12%=9marks
so, total mark = 9/12x100= 75
that is 12%=9marks
so, total mark = 9/12x100= 75
Cube
roots tricks, math shortcut tricks, find cube from 1 to 99 of given number
In
banking and many other exam there is many question related to cube roots. In
exam specially banking 2-3 question are related to cube roots.
In banking hard digit like 373248, 941192, 91125 etc are
given and we have to find the cube of that number This is time consuming
chapter in mathematics. We are providing shortcut tricks to find cube roots of
a given number.
First we need to learn this following table carefully
if you learn this table its helpful in finding cube of a
given number.
|
Number
|
Cube root
|
Last digit
|
|
1
|
1
|
1
|
|
2
|
8
|
8
|
|
3
|
27
|
7
|
|
4
|
64
|
4
|
|
5
|
125
|
5
|
|
6
|
216
|
6
|
|
7
|
343
|
3
|
|
8
|
512
|
2
|
|
9
|
729
|
9
|
|
10
|
1000
|
0
|
Basically last digit concept are used to find the cube root of given number
Here is the example How to find the cube of the given number
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if you practice
practice and practice hard you can solve this within few seconds and save you
time in exam hall.
if you have
any problem we can discuss in comments
SQUARE ROOTS TRICKS FOR FAST CALCULATION
square is the
important chapter in maths. 2-3 question are always based on this topics in
every exams. While in banking 8 – 10 question are based on this square chapter
or on the bases of square
we provide tricks how to calculate SQUARE fast within seconds
if you practice, practice and practice I think you will be able to solve square to 30 to 130 within few seconds and you can save time is exams.
In this article we are solving squares
we provide tricks how to calculate SQUARE fast within seconds
if you practice, practice and practice I think you will be able to solve square to 30 to 130 within few seconds and you can save time is exams.
In this article we are solving squares
1. number
with last digit 5.
2. from
30 to 50.
3. from
50 to 80.
4. from
80 to 100.
5. from
100 to 130.
FIRST OF ALL YOU CAN LEARN SQUARE BETWEEN 1 TO 30 IN MIND
FIRST OF ALL YOU CAN LEARN SQUARE BETWEEN 1 TO 30 IN MIND
|
NUMBER
|
SQUARE
|
|
NUMBER
|
SQUARE
|
|
1
|
1
|
16
|
256
|
|
|
2
|
4
|
17
|
289
|
|
|
3
|
9
|
18
|
324
|
|
|
4
|
16
|
19
|
361
|
|
|
5
|
25
|
20
|
400
|
|
|
6
|
36
|
21
|
441
|
|
|
7
|
49
|
22
|
484
|
|
|
8
|
64
|
23
|
529
|
|
|
9
|
81
|
24
|
576
|
|
|
10
|
100
|
25
|
625
|
|
|
11
|
121
|
26
|
676
|
|
|
12
|
144
|
27
|
729
|
|
|
13
|
169
|
28
|
784
|
|
|
14
|
196
|
29
|
841
|
|
|
15
|
225
|
30
|
900
|
FIRST CASE:- NUMBER
WITH LAST DIGIT 5.JPG)
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THIRD
CASE:- SQUARE BETWEEN 50 TO 80.JPG)
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FIFTH CASE:- SQUARE BETWEEN 100 TO 130.JPG)
MOCK
TEST
Q1. Find the square of 95?
a. 9125 b. 9025 c. 9225 d.
9175
Q2. Find the square of 42?
a. 1763 b. 1764 c.
1765 d. 1766
Q3. Find
the square of 79?
a. 6233 b. 6255 c.
6241 d. 6251
Q4. Find the square of 121?
a.
15252 b. 12625 c. 14625 d. 14641
Q5.
find the square of 98?
a. 9604 b. 9609 c. 9603 d.
9600
Give your answer in comments below if you have any problem we
can also discuss in comments
IF THIS TOPIC HELPS YOU. PLEASE SHARE THIS WITH YOUR FRIENDS ALSO.
IF THIS TOPIC HELPS YOU. PLEASE SHARE THIS WITH YOUR FRIENDS ALSO.
MATHS SHORTCUT TRICKS -- WORK AND TIME
This
time we are going to solve work and time chapter with shortcut
tricks.
now, we are going to solve work and time problem with short cut tricks. If you learn this tricks you can solve these question in seconds.
now, we are going to solve work and time problem with short cut tricks. If you learn this tricks you can solve these question in seconds.
WORK
AND TIME SHORTCUT TRICKS, MATH SHORTCUT TRICKS
Profit
And Loss Short Tricks
These type of question are time consuming but we have to manage
our time in the examination hall.
Type 1:- The ratio of the cost price and the selling price is
4:5. The profit percent is?
a. 10
b. 20
c. 25 d. 30
Ans:- 25
profit is always calculated on cost price
so, c.p=4 , s.p=5 Profit=s.p-c.p, 5-4=1
profit %= profit/cost price * 100, then, 1/4*100= 25
profit is always calculated on cost price
so, c.p=4 , s.p=5 Profit=s.p-c.p, 5-4=1
profit %= profit/cost price * 100, then, 1/4*100= 25
Type 2:- If on selling 12 notebooks a seller makes a profit
equal to selling price of 4 notebook, what is his profits percentage?
a. 16.2/3
b. 25
c. 50
d. None of these Ans:-50
if there is profit on selling item = selling price of an article
if there is profit on selling item = selling price of an article
To find profit %,
simply minus 12 from 4= 8
Profit % =
4/8*100=50
Type 3:- A vender loses the selling price of 4 oranges on
selling 36 oranges his loss percentage is?
a. 10
b. 11.1/9
c. 12.1/2 d. None of these Ans:-10
if there is loss on selling item = selling price of an article
to find loss%, simply add 36 to 4 = 40
if there is loss on selling item = selling price of an article
to find loss%, simply add 36 to 4 = 40
Loss % = 4/40*100 = 40
Type 4:- Some article were brought of 6 for rs. 5. And
sold at 5 for rs. 6. Gain percentage is/
a. 30 b. 33.1/3 c. 35
d. 44
Ans:-44
Type 5:- A vender by selling 12 toffee for a rupee. A man loses
20%. How many for a rupee should he sell to get a gain of 20%? a. 10
b. 20
c. 8
d. 12
Ans:- 8
12 toffee for rs 1 loss 20% then
c.p = 1*100/80 = 5/4 on this price we have to gain profit of 20%
So, 5/4* 120/100 = 3/2
If for Rs. 2/3 we have 12 toffee then for rs 1 we have = 12x2/3=8
12 toffee for rs 1 loss 20% then
c.p = 1*100/80 = 5/4 on this price we have to gain profit of 20%
So, 5/4* 120/100 = 3/2
If for Rs. 2/3 we have 12 toffee then for rs 1 we have = 12x2/3=8
Type 6:- A sell a bicycle of to B at a profit of 20%. B sell it
to C at profit of 25%. If C pays rs. 225 for it the cost price of bicycle is?
a. 110
b. 120
c. 125
d. 150
Ans:- 150
let cost price be X then, x.120/100 . 125/100= 225 ,
by solving, then X equal to 150
let cost price be X then, x.120/100 . 125/100= 225 ,
by solving, then X equal to 150
Type 7:- A shopkeeper professes to sell his goods at cost price
but uses a weight of 800gm instead of 1kg. thus he makes a profit of?
a. 20%
b. 16.2/3
c. 25
d. 50
Ans :- 25
Type 8 :- A shopkeeper cheats to the extents of 10% while buying as well as
selling by using false weight his
total gain is ? a. 10%
b. 11%
c. 20%
d. 21%
Ans :-21%
Type 9 :- An article when
sold at a gain of 5% yields rs. 15 more
than when sold at a loss of 5%. Its cost
price would be
a. 150 b. 200 c. 250 d. 300
Ans:-150
difference between gain % and loss% equal to 10%
then, 10% = rs. 15, 100% = rs. 150 , that is your cost price
then, 10% = rs. 15, 100% = rs. 150 , that is your cost price
Type 10:- The price of an
article has been reduced by 25%. In order to restore the
original price the reduced price must be increased by?
a. 25% b. 30% c. 33% d. 33.1/3% Ans:-33.1/3%
Type 11:- An article was sold at 16% gain. Had it been sold for
rs. 200 more, the gain would have been 20% then the cost price of the article
is?
a. 5000
b. 4800
c. 4500
d. 5200 Ans :- 5000
difference in gain % equal to 200, Then 20%-16%=4%
4%= 200 then, 100%= 5000 that is your cost price of the article
difference in gain % equal to 200, Then 20%-16%=4%
4%= 200 then, 100%= 5000 that is your cost price of the article
TEST YOUR KNOWLEDGE
1. How long will Lucy have to wait before for
her $2,500 invested at 6% earns $600 in simple interest?
2. Grace has 16 jellybeans in her pocket. She
has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of
jellybeans she must take out of her pocket to ensure that she has one of each
color?
(A)4 (B)8
(C)12 (D)13
(E)16
3. If r = 5 z then 15 z = 3 y, then r =
(A)y (B)2 y (C)5 y (D)10 y
(E)15 y
4. What is 35% of a number if 12
is 15% of a number?
(A)5 (B)12
(C)28 (D)33 (E)62
5. A computer is on sale for $1600, which is a
20% discount off the regularpric(E)What is the regular price?
(A)$1800 (B)$1900 (C)$2000 (D)$2100 (E)$2200
6. A car dealer sells a SUV for $39,000, which
represents a 25% profit over the cost. What was the cost of the SUV to the
dealer?
(A)$29,250 (B)$31,200
(C)$32,500 (D)$33,800 (E)$33,999
7. After having to pay increased income taxes
this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but
he sold it for a 20% loss. What
did Edmond sell the car for?
(A)$24,200 (B)$28,900
(C)$35,600 (D)$37,300 (E)$39,200
8. If Sam can do a job in 4 days that Lisa can
do in 6 days and Tom can do in 2 days, how long would the job take if Sam,
Lisa, and Tom worked together to
(A)0.8 days (B)1.09
days (C)1.23
days (D)1.65 days
(E)1.97 days
9. Find 0.12 ÷12
(A)100
(B)10 (C)1 (D)0.01 (E)0.001
10. If 6 is 24% of a number, what is 40% of
the same number?
(A)8 (B)10 (C)15 (D)20 (E)25
11. Which of the following numbers could be
described in the following way: an integer that is a natural, rational and
whole number?
(A)0 (B)1 (C)2.33 (D)-3 (E)none of the above
12. Find the mode of the following list of
numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8
(A)2 (B)3 (C)4 (D)5 (E)6
13. In the fraction 3/x, x may not be
substituted by which of the following sets?
(A){1, 2, 4} (B){-2,-3,-4} (C){1, 3, 7} (D){0,
10, 20} (E){1.8, 4.3}
14. Sarah needs to make a cake and some
cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of
sugar. Sarah has 15/16 cups of
sugar. Does she have enough sugar, or how much
more does she need?
(A)She has enough
sugar.
(B)She needs 1/8 of a
cup of sugar. (C)She needs 3/80 of a
cup of sugar.
(D)She needs 4/19 of a
cup of sugar. (E)She needs 1/9 of a cup
of sugar.
15. At a company fish fry, 1/2 in attendance
are employees. Employees' spouses are 1/3 of the attendace. What is the
percentage of the people in attendance who are not employees or employee
spouses?
(A)10.5% (B)16.7% (C)25% (D)32.3% (E)38%
16. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =
(A) 12 (B)
25 (C) 33 (D) 47 (E) 86
17. There are 8 ounces in a ½ poun(D)How many
ounces are in 7 3/4 lbs?
(A)12 ounces (B)86
ounces (C)119 ounces (D)124 ounces (E)138 ounces
18. If the value of x and y in the fraction
XZ/Y are both tripled, how does the value of the fraction change?
(A)increases by half (B)decreases by half (C)triples
(D)doubles(E)remains the same
19. What is the next number in the
following pattern? 1, 1/2, 1/4, 1/8, ___
(A)1/10 (B)1/12( C)1/14 (D)1/15 (E)1/16
20. Of the following units which would be more
likely used to measure the amount of water in a bathtub?
(A)kilograms (B)liters (C)milliliters (D)centigrams (E)volts
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