# Quants Hacks | Percentage to Fraction Value

Dear Students,

Quantitative Aptitude is hard in most cases especially in exams like Banks and Insurance. Many Banks exam has a two-tier examination pattern i.e., Prelims and Mains. Most of them have changed their exam patterns and set a sectional timing of 20 minutes on each section.

Quantitative Aptitude is hard in most cases especially in exams like Banks and Insurance. Many Banks exam has a two-tier examination pattern i.e., Prelims and Mains. Most of them have changed their exam patterns and set a sectional timing of 20 minutes on each section.

**Quantitative aptitude**is important for every exam because proper strategy and enough practice can help you score full marks in this section. There may not be assured in the language section and you may be stuck while solving reasoning questions but quants is a scoring subject and assure full marks if the calculation is correct.
So to help you ace the quants and to save your precious time during exam hours

is very easy when we know the fraction value of

Fraction value of 75% is 75/100 i.e.

3/4*4016=3*1004=

if you don't know fraction value

break

Example- 3/4, 17/19.

Example- 17/12, 12/7

we write 17/12= 1 5/12

In competitive exam percentage to

all the subtraction in fractions happens as above

[

fractional value of 100%=1, and 6

fractional value of

600%=6,

1

Now (50%+6.25%) of

We can write-

the fractional value of

(1/5+1/19)*95

=19+5=

4.

5.

we can split this fraction as

(

6.

Fractional value of 75=3/4, and 16

3/4*1320+1/6*1320=

7.

fractional value of 42

the denominator has 1/7 i.e. it is somewhere multiple of 14

=1428+3/7*714=1428+306=1734

8.

write (1555)%= 1000%+500%+50%+5%

1555% of 32=(1000%+500%+50%+5%) of 32=320+160+16+1.6=497.6

**Adda247**providing some quant tricks to help aspirants.**Multiplication technique-****Percentage to Fraction value**and vice versa plays an important role in Simplification. It makes the calculation easier in the exam. So go through these values and try to understand the logic.**Example1-****75% of 4016**is very easy when we know the fraction value of

**75%**Fraction value of 75% is 75/100 i.e.

**3/4**3/4*4016=3*1004=

**3012****Example2-****95% of 25**^{5}⁄_{19}if you don't know fraction value

**25**then it this takes time to solve^{5}⁄_{19}break

**25**^{5}⁄_{19}into (20+ 5^{5}⁄_{19})%**20%=1/5**, and**5**^{5}⁄_{19}= 1/19**(1/5+1/19)*95=24****A**

**fraction is proper and Improper.**

**Proper fraction where the numerator is les**s than the denominator.Example- 3/4, 17/19.

**Improper fraction**where the numerator is more than the denominator. We have to make numerator always less than the denominator.Example- 17/12, 12/7

**Note-**Always make numerator less than the denominator.we write 17/12= 1 5/12

**Recurring Decimals**- recurring decimal is produced by all the denominator which is not divisible by**2 or 5**.In competitive exam percentage to

**fraction value, up to 20**is asked.**(A) 1/2**= 50/100=**50%**,**3/2**= 3*50%=**150%**,**5/2**= 5*50%=**250%**

**(B) 1/3**= 1/3*100=33.33%(**Recurring decimal**)**2/3**= 2*33.33%=**66.66%,****4/3**= 4* 33.33**but this**is not easy we can write it as (**1+1/3**)*100=100%+33.33=**133.33****(C) 1/4= 25%****3/4**=3*25%=**75%**,**5/4**is**improper fraction**,**split it into**= (1+1/4)*100=100%+25%=**125%****6/4**= 3/2*100=**150%**or if you know table of 25 then directly**6*25=150****7/4**= split it (**1+3/4**)*100=175% or 25*7=**175****(D) 1/5**=**20**%,**2/5**=**40**%,**3/5**=**60**%,**4/5**=**80**%,**6/5**=**120**%**(E) 1/6**=**16.66%**or**16**^{2}⁄_{3}**2/6**=1/3=**33.33%**,**5/6**=5*16.66=**83.33%**or we can break it into**(1-1/6)***100=**100%-16**=83^{2}⁄_{3}^{1}⁄_{3}**7/6**=(1+1/6)=**116.66%****Note- 100-16**^{2}⁄_{3}= subtract 17 from the 100 and then subtract 3-2.all the subtraction in fractions happens as above

**(F)****1/7**=**14.28%**or**14**,^{2}⁄_{7}**2/7**=**28.56 %****3/7**= we multiply**3*14 2/7**= 3*(14+2/7)%=**42%+6/7%**=**42.85****4/7**=4*(14^{2}⁄_{7})=56+8/7=**57 1/7****6/7**= 1-1/7=**100-14**=^{2}⁄_{7}**85**^{5}⁄_{7}**(G)****1/8**=**12.5%**,**3/8**=**37.5%**,**5/8**=**62.5%**,**7/8**=(1-1/8)=**100%-12.5**=**87.5%****9/8**=(1+1/8)*100=**112.5%****(H). 1/9**=**11.11%**,**2/9**=**22.22**,**4/9**=**44.44%**,**5/9**=**55.55%**,**6/9**=**66.66%**[

**Note the trend**]-**same value before and after decimal****(I)**.**1/10**=**10%****(J)**.**1/11**=**9.09%**,**2/11**=**18.18%**,**3/11**=**27.27%**,**4/11**=**36.36**[**Note the trend**]- same value before and after decimal**K**.**1/12**=**8.33%**,**5/12**=**41.66**[ Recurring]**L**.**1/13**=**7**^{9}⁄_{13%}**M**.**1/14**=**7**,^{2}⁄_{14}**3/14**=**21.42%****N**.**1/15**=**6**=^{10}⁄_{15}**6**=6.66 or divide and multiply by 2 in numerator and denominator=2/30, 4/15=8/30^{2}⁄_{3}**Note- if denominator has 5 in its unit place make it 10.****O**.**1/16**=6^{4}⁄_{16}=**6.25**,**3/16**=**18.75**,**5/16**= 5*(6.25)=**31.25****P**.**1/17**=**5**^{15}⁄_{17}**Q**.**1/18**=**5**^{5}⁄_{9}**R**.**1/19**=**5**^{5}⁄_{19}**S**.**1/20**=**5%****Now convert a percentage to fraction value-**

**1**.**106**=^{2}⁄_{3}**100%+6**^{2}⁄_{3}fractional value of 100%=1, and 6

^{2}⁄_{3}%=1/15= 16/15**2**.**157**=^{1}⁄_{7}**100%+ 57**^{1}⁄_{7}fractional value of

**57**=^{1}⁄_{7}**4/14**=**1+4/14**=18/14=**9/7****3**.**616**=^{2}⁄_{3}**600%+ 16 2/3**600%=6,

**16**= 1/6= 6+1/6=^{2}⁄_{3}**37/6.**

**Some Solved Examples-**1

**. 4%*275**=**we write 4% as 4/100=1/25****1/25*275**=**11****2.**

**56.25% of 1120**=**we write 56.25% as (50%+6.25%)****Fractional value of 50%=1/2 and 6.25%=1/16**Now (50%+6.25%) of

**1120**=**560+1/16*1120**=560+70=**630****3.**

**95% of 25 5/19**=we write it asNote- a% of b is same as b% of a

**25**=^{5}⁄_{19}% of 95We can write-

**25**=^{5}⁄_{19}%**20%+5**^{5}⁄_{19}%the fractional value of

**20%=1/5**and**5**^{5}⁄_{19}=1/19(1/5+1/19)*95

=19+5=

**24**4.

**81.25% of 128**=**81.25**= (**75%+6.25%**)***128**=**13/16*128**=13*8=**104**5.

**206 ¼%*14.4**=we can split this fraction as

(

**200%+ 6 ¼%**)***14.4**=28.8+0.9=**29.7**6.

**91 2/3*1320**=**Case 1**-we can write (91^{2}⁄_{3}) as (**75%+16 2/3%)**Fractional value of 75=3/4, and 16

^{2}⁄_{3}=1/63/4*1320+1/6*1320=

**990+220**=**1210****Case2-**we can also write as (100%-8^{1}⁄_{3}%)=**1-1/12**=11/12*1320= 1210.7.

**242**=^{6}⁄_{7}of 714**we can write 242 6/7 as (200%+42 6/7%)*714**=fractional value of 42

^{6}⁄_{7}is 3/7the denominator has 1/7 i.e. it is somewhere multiple of 14

^{2}⁄_{7}=1428+3/7*714=1428+306=1734

8.

**12.32% of 1555**=write (1555)%= 1000%+500%+50%+5%

1555% of 32=(1000%+500%+50%+5%) of 32=320+160+16+1.6=497.6

**Do it yourself-by Percentage to Fraction****1. 91**^{1}⁄_{9}*135=**2. 72 ½ of 1280=****3. 343**^{1}⁄_{3}of 450=**4. 126**^{6}⁄_{9}of 54=**5. A is 20% of (B+C+D), C is 20% less than (A+B+D). Find the ratio of A:C**

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