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.
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.
Narayan said:
9 years ago
Let the ans is 15 then,
Efficiency=((20 - 15)/15) * 100 = 33.33%(wrong).
Take ans as 16 then,
Efficiency = ((20 - 16)/16) * 100 = 25%(correct).
Efficiency=((20 - 15)/15) * 100 = 33.33%(wrong).
Take ans as 16 then,
Efficiency = ((20 - 16)/16) * 100 = 25%(correct).
Jitendra said:
1 decade ago
Why we should consider 125 and 100.
If we consider that Sakshi 100 and Tanya 75 then,
100 : 75 :: 20 : x.
= 100/75 = 20/x.
=> x = 15 days.
If we consider that Sakshi 100 and Tanya 75 then,
100 : 75 :: 20 : x.
= 100/75 = 20/x.
=> x = 15 days.
Patrick said:
8 years ago
Sakshi efficiency = 100/20 = 5;
Tanya = 5 x 1.25 = 6.25;
The number of days taken by Tanya to do the same piece of work is: 100/6.25 = 16 days.
Tanya = 5 x 1.25 = 6.25;
The number of days taken by Tanya to do the same piece of work is: 100/6.25 = 16 days.
Vamshidhar reddy said:
1 decade ago
25% efficient(so one takes 100 days means second person takes 75days[just 75%of 100])
here one takes 20 days
so other takes 20*(75/100)=15 days
here one takes 20 days
so other takes 20*(75/100)=15 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
Bing said:
5 years ago
As Sakshi can do 1/20 per day, Tanya can do 25% more per day than Sakshi.
So, [(1/20)+(1/20)*(25/100)].
i.e. 5/80 i.e 1/16 i.e 16 days.
So, [(1/20)+(1/20)*(25/100)].
i.e. 5/80 i.e 1/16 i.e 16 days.
(4)
Aashi Mehta said:
9 years ago
If we solve in accordance with the question then the answer will be 15 I don't know why every body has taken it as 16.
Please tell me.
Please tell me.
Pankaj said:
10 years ago
Answer will be 25.
If the ratio taken is T:S::T:S.
125:100::X:20.
5:4::X:20 = 25.
x is no. of days taken by Tanya complete a work.
If the ratio taken is T:S::T:S.
125:100::X:20.
5:4::X:20 = 25.
x is no. of days taken by Tanya complete a work.
Oakley said:
6 years ago
25% efficient means Tanya takes 15 days.
Both 1 day work=1/20+1/15=7/60.
Tanya work=7/60-1/20=1/15.
Why can't the answer be 15?
Both 1 day work=1/20+1/15=7/60.
Tanya work=7/60-1/20=1/15.
Why can't the answer be 15?
(7)
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