| Updated On September 6th, 2019 at 12:48 pm

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** Adda247 **providing some quant tricks to help aspirants.

**Percentage concept-**

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**

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**(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

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%**

**Basic of Percentage** and **Use of percentage to Fraction value**

**Solution and concept-**

**“of “**and

**“than”**comes in denominator

**a is what % of b**=

**a/b*100**[ b is in denominator ],

**b is what % of a**, here a comes after of so a is in the denominator

**b/a*100**

**2**.

**what % of b is a**=

**b comes after “of “**so here

**a/b*100**

**3**.

**a is what % more than b**[ this statement is very important we see many times in

**data**

**interpretation]**

**here b is after “than”.**

**(a-b)/b*100.**

**example1– a is 25% more than b means**

**25%= 1/4.**

**b=4**then a is 25% more than b i.e.

**1/4*4=1**then the value of

**a=1+4=5**

**20%**

**Concept**–

**a is 40% more than b**

**40%= 2/5**

**a/b=7/5**

**Concept- a is 87.5% more than b**

**87.5%**= 100%-12.5%

**15:8**

**Example1- A is 25% more than b, then b is what % less than a**

**method 1**– let b is 100, then a is 125

**method 2**– 25%=1/4

**method 3-**

**shortcut**

**if a is increased by (1/n)% then to compensate we have to decrease the value of b by (1/n+1)**

**25%**=

**1/4**here n=4 then

**b is decreased by 1/(4+1)**i.e.

**1/5**or

**20%**

**Example 2**–

**a is 87.5% more than b then b is what % less than a**

**method1**–

**let b=100**, then a is

**187.5**here calculation

**becomes difficult**

**method2**–

**87.5%**= 7/8

**b=8**then

**7/8*8=7**

**a=15**,

**b=8**,

**b is 7 less than a**=

**7/15*100**

**method 3**– if a is increased by

**(1/n)%**then to compensate we have to decrease the value of b by

**(1/n+1)**

**7/15**

**Example 3**–

**A is 7.7 % more than b, then b is what percent less than a**

**method 1**. ratio method is difficult to solve

**method 2-**

**a is increased by (1/n)%**then to compensate we have to

**decrease**the value of

**b by (1/n+1)**

**7.7%**=

**1/13**

**a is increased by 1/13**then b is

**decreased by 1/14.**

**Now Examples of first we decrease than Increase**

**Examples1**.

**when A is 20% less than B then B is what % more than A.**

**method 1**– let a=80, b=100 then 20/80*100=25%

**method 2**– ratio method

**20%=1/5**when b is 5 then 5*1/5=1

**a= 4**

**method3**– here a is

**decreased by (1/n+1)%**then to compensate we have to

**increase**the value of

**b**by

**(1/n)**

**(n+1)=5**then to compensate we have to

**increase**the value by

**(n) i.e. 4**so b is more than a by

**25%**.

**Example2-**

**A is 12.5% less than B then B is what % more than A**

**(n+1)=1/8**to compensate B is increased by

**(n) i.e. 1/7**

**Example3**.

**A is 16 2/3 more than B and 20% of C. B is what % of C**