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 5 of 10.
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).
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.
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.
Tathagata said:
9 years ago
@Ashwini you are right. If you see a previous sum. If you do it in the same way it will have the same answer!
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.
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.
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.
So please let me know how many days Tanya takes if she is 50% more efficient than sakshi based on your methods.
Subhasis said:
10 years ago
What if I think tanaya takes 75 days and sakshi takes 100 days, then answer will be 15 days.
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.
Sonu jangra said:
10 years ago
Sakshi do 1 day's the work = 1/20.
Now, Tanya do the work 25% more efficient than Sakshi = 1/20*25/100 = 1/80.
So, Tanya will do the total work = 1/20+1/80 = 5/80 = 1/16.
So 1*16/1 = 16 days.
Now, Tanya do the work 25% more efficient than Sakshi = 1/20*25/100 = 1/80.
So, Tanya will do the total work = 1/20+1/80 = 5/80 = 1/16.
So 1*16/1 = 16 days.
Raghu said:
10 years ago
The answer is 15 let me tell you.
Tanya is 25% efficient than Sakshi.
If Sakshi do a work in 24 hours then Tanya will do in 18 hours because 12 is 50% of 24. 6 is 25% of 24.
So Tanya take 6 hours less time than Sakshi, so reduce 6 hours in every day upto 20 days 6 x 20 = 120 i.e 5 days.
20 days - 5 days = 15 days.
Tanya is 25% efficient than Sakshi.
If Sakshi do a work in 24 hours then Tanya will do in 18 hours because 12 is 50% of 24. 6 is 25% of 24.
So Tanya take 6 hours less time than Sakshi, so reduce 6 hours in every day upto 20 days 6 x 20 = 120 i.e 5 days.
20 days - 5 days = 15 days.
Devi prasad said:
10 years ago
Their is mixed view of this question but we got both the answer correctly.
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