Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 20)
20.
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
15
16
18
25
Answer: Option
Explanation:

Ratio of times taken by Sakshi and Tanya = 125 : 100 = 5 : 4.

Suppose Tanya takes x days to do the work.

5 : 4 :: 20 : x    x = 4 x 20
5

x = 16 days.

Hence, Tanya takes 16 days to complete the work.

Discussion:
94 comments Page 4 of 10.

Epsilon said:   8 years ago
Sakshi does 1 unit in =20Days.

Tanya does (1+1/4)=5/4 unit in = 20Days.
So, Tanya does one unit in=20*4/5 = 16 days,
I think efficiency here is related to the amount of work done.

Shadab Akhtar said:   9 years ago
Sakshi = 1/20 (given).
Tanya = (125/100) * Sakshi (Tanya is 25% more efficient than Sakshi).
Tanya= (125/100) * 1/20.
= 1/16.

Hence, Tanya does the same piece of work in 16 days.

Jitendra said:   1 decade ago
Let Sakshi completes the whole work = 100 days.

Then Tanya will complete it = 75 days.

Now, 100 = 20.

1 = 20/100 = 1/5.

75 = (1/5) *75 = 15 days.

So answer should be 15 days.

Akram said:   1 decade ago
x:y::p:q.

Product of mean = product of extreme.
..i.e.. y*p = x*q.
y*p/x*q = 1.

Same way : 5:4::20:x
4*20/5 = x
4*4 = x
x = 16.

Mithun said:   8 years ago
[Tanya effective than sakshi [20days] , hence answer should be less than 20days]

Sakshi 125--------->20
Tanya 100-------->?
[cross multiply]
20 x 100 / 125 =16days.

Divyansh said:   7 years ago
I am not getting it how 16?

Let's think this way Sakshi take 20 days which is 240 hours.
25% of 240 = 60.
240 - 60 = 180.
and 180 hours = 15days.

Please can anyone help me.

Priya said:   1 decade ago
Nothing to do all this just simple calculation in question it is given Tanya is 25% more efficient than Sakshi which do in 20 days.

So Tanya will do 125/100*1/20 = 4 days.

Suresh KS said:   9 years ago
Hi friends I agree your answer is 16 based on your methods.

So please let me know how many days Tanya takes if she is 50% more efficient than sakshi based on your methods.

Ashwini said:   9 years ago
According to me, it should be;

Tanya is 25% efficient than Sakshi so that means she finishes work taking 25% less time.

So, 20 - 25 * 20, then finally we get 15 days.

Pavan said:   1 decade ago
Here question starts with sakshi so we must take s=100.

Then 25% eff so T=75.
Then the ratio we get is 3:4.

Answer will be 15.
How can it be 16.

Can anyone please?


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