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:
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 6 of 10.
San said:
1 decade ago
Efficiency is : (1/Number of total days to complete a work).
So, efficiency of sakshy = 1/20.
And,efficiency of Tanya = 1/20 + 25% of (1/20).
Which is,
1/16.
So, Tanya will complete in 16 days.
So, efficiency of sakshy = 1/20.
And,efficiency of Tanya = 1/20 + 25% of (1/20).
Which is,
1/16.
So, Tanya will complete in 16 days.
Soumil said:
1 decade ago
The ratio should be 100:75::20:x, not 125:100::20:x.
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?
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.
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.
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.
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.
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
Sakshi 1 day work =1/20
So
Tanya =(125/100)*(1/20)
=(5/4)*(1/20)
=(1/4)*(1/4)
=(1/16)
=16 days
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.
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.
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
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
Satya vaag said:
1 decade ago
Thanks kamlesh.
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.
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.
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