You will not be able to find this shortcut on the internet as it is derived by A K Panchal for you- the visitors of MeriView.in

Suppose you are given a question like the one given below…

Q:- In a project work, A and B can do the work in 20 days
and 12 days respectively. A started the work alone and after 4 days, B

joined
him and they both completed the remaining work. In how many days the work was
done?
Now this type of question is basically done by most of us
first calculating the work done by A in 4 days. Then we subtracts the work from whole work i.e. 1. And then we
calculate how much time will A and B take to get the remaining work done when
both of them does the work together. Then we get the amount of days both will
take to complete the remaining work and then we have to add that time into the
time that was given in the question i.e. 4 days. Then we get the total time in
which the work will be completed.

**Basic solution of the above problem is below----the shortcut trick is given below the basic solution. This is just to show the difference between both of the tricks**

A can do the work in 20 days

So Work done by A in
1 day= 1/20

So work done by A in 4 days= 4/20 = 1/5

So the remaining work= 1-(1/5) =(5-1)/5 = 4/5

The remaining work was done by A and B together

also learn the shortcut tricks for ratio and proportion problems

also learn the shortcut tricks for ratio and proportion problems

Now

B can do the work in 12 days

So work done by B in 1 day= 1/12

Work done by both A and B together in 1 day= (1/20)+(1/12)=
32/240 work

So

32/240 work is done by both in = 1 day

So 4/5 work will be done by them in= [1*(4/5)]/(32/240)

=(240*4)/(32*5) = 6 days

So the remaining work was done by them in 6 days.

So total time taken in doing the whole work will be = 6+4 =
10 days

The above solution is the basic method that most of us uses
to solve this type of questions.

But wait

This trick takes time of about 3-5 minute to solve or if you
are faster, then still you will take nearly 30-60 seconds to solve this
question to solve this question.

But here on MeriView.in we are telling you the trick that
will you solve this types of question in just 5-10 seconds with the derived
formula trick.

also read- all shortcut, tips and tricks are discussed here

also read- all shortcut, tips and tricks are discussed here

This derived formula trick is for any question of this type
but you should take care while reading the questions what is asked.

**So here is the derived formula shortcut trick for this type of question: By A K Panchal**

Derived formula shortcut

x[(P+y)/(x+y)]

From the above question asked

P=4

x=20

y=12

putting the derived formula into the question

x[(P+y)/(x+y)]

=20[(4+12)/(20+12)]

=20[16/32]

= 10 days

So the work will be done in total of 10 days. So this
shortcut derived formula takes just 8 seconds to solve.

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and this site.

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Thanks

A K Panchal

its not easy to remember lots of shortcuts for every type of sums

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