It is currently 25 Nov 2017, 03:07

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Calculate faster - Reciprocal percentage equivalent

Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Dec 2013
Posts: 33

Kudos [?]: 13 [3], given: 29

Concentration: Finance, General Management
Schools: ISB '15
Calculate faster - Reciprocal percentage equivalent [#permalink]

### Show Tags

06 Jan 2014, 11:18
3
KUDOS
2
This post was
BOOKMARKED
Hi All,

If one has to complete the quants section on the GMAT on time, it is imperative that one has to calculate faster. A lot of questions on the GMAT involve division. To divide faster reciprocal percentage equivalent come quite handy.

In this post I will share a basic and an easy method that may help one in memorizing the reciprocal equivalents.

> Reciprocal of 2 (i.e 1/2) is 50%, that of 4 will be half of 50% i.e 25%. Similarly, reciprocal of 8 will be half of 25% = 12.5% and that of 16 will be 6.25%

> Reciprocal of 3 is 33.33%. Thus reciprocal of 6 will be half of 33.33% i.e 16.66% and that of 12 will be 8.33%

> Reciprocal of 9 is 11.11% and reciprocal of 11 is 9.0909%. Reciprocal of 9 is composed of 11's and reciprocal of 11 is composed of 09's.
If any calculation has 9 in the denominator, the decimal part will be only 1111 or 2222 or 3333 or 4444...
ex. 95/9 will be 10.5555

> Reciprocal of 20 is 5% [ you can remember this as 1/5 = 20% so, 1/20 = 5%]

> Reciprocal of 21 is 4.76% and of 19 is 5.26%. Thus we can easily remember reciprocals of 19, 20, 21 as 5.25%, 5 ,4.75% i.e 0.25% more and less than 5%

> Similarly, reciprocal of 25 is 4 % [ Remember this as 1/4 = 25%, so 1/25 = 4%]

> Reciprocal of 24 is 4.16% and of 26 is 3.84%. Thus, we can easily remember reciprocals of 24, 25, 26 as 4.15%, 4, 3.85% i.e 0.15% more and less than 4%.

> Reciprocal of 29 is 3.45% (i.e 345 in order) and reciprocal of 23 is 4.35% ( same digits but order is different. If 1/29 = 3.45% than definitely 1/23 will be more than 3.45%. Reverse the digits and the answer comes to 4.35%)

> Reciprocal of 18 is half of 11.1111% i.e 5.5555% i.e it consists of only 5's.

> Reciprocal of 22 is half of 09.0909%. i.e 4.5454% i.e consists of 45's.

> One can remember 1/8 = 12.5% and tables of 8, and one can easily remember fractions such as 2/8, 3/8, 5/8, 7/8 which are used very regularly.

1/8 is 12.5%, 2/8 is 25% (12.5*2), 3/8 is 37.5% (12.5*3), 5/8 is 62.5% ( 12.5*5), 7/8 = 87.5%

I hope you find this post useful.

Thanks,
Harish
_________________

Kindly consider for kudos if my post was helpful!

Kudos [?]: 13 [3], given: 29

Non-Human User
Joined: 09 Sep 2013
Posts: 15474

Kudos [?]: 283 [0], given: 0

Re: Calculate faster - Reciprocal percentage equivalent [#permalink]

### Show Tags

27 Apr 2017, 10:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 283 [0], given: 0

Re: Calculate faster - Reciprocal percentage equivalent   [#permalink] 27 Apr 2017, 10:52
Display posts from previous: Sort by