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 2 of 10.

Xyz said:   1 decade ago
Thanks Kamlesh !!!

Samar said:   1 decade ago
20*0.25=5
subtract 5 from 20
20-5=15Ans

I also get the answer 15
I did not understand how the answer is 16.

Harshit said:   1 decade ago
@Vamshidar reddy, Preethy& Samar;.

The answer 16 is justified.

Given that Tanya is more efficient than Sakshi. So, Tanya will take less time to complete the work.

If Tanya is 25% more efficient than Sakshi, it is not nessesary.

That Tanya will complete the work in 25% of the days less than Sakshi.

Satya vaag said:   1 decade ago
Thanks kamlesh.

Shawisk said:   1 decade ago
Read carefully

for tanya & sakshi, the actual ratio is 100:75=4:3

bcz if tanya do same work complete @ 100% in x days
then sakshi can complete only 75% of that work in x days

so keep it in mind

Pandian said:   1 decade ago
Sakshi done a work in 20 days is 100%
Tanya more power is 25%
So she done work in minimum days
So 25% of 20 days is 4
So tanya done work in 20-4 = 16 days.

Eby said:   1 decade ago
Tanya =125% of Sakshi
Sakshi 1 day work =1/20
So
Tanya =(125/100)*(1/20)
=(5/4)*(1/20)
=(1/4)*(1/4)
=(1/16)
=16 days

K verma said:   1 decade ago
Tanya is 25% more efficient than Sakshi.

Tanya is 125.

Sakshi is 100.

Ratio of efficiency is 5:4.

So, ratio of time will be 4:5.

Given, Sakshi can do work in 20 days means 5*4=20.

In the same way for Tanya 4*4=16.

Answer-16 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.

Pankaj said:   1 decade ago
I too get the answer as 15 days. Since 25% of 20 is 5 we have to subtract like 20-5 = 15 right? but how the answer is 16?


Post your comments here:

Your comments will be displayed after verification.