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:
95 comments Page 4 of 10.
Tathagata said:
1 decade 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!
Shadab Akhtar said:
1 decade 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.
Ashwini said:
1 decade 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:
1 decade 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.
Sanjay said:
9 years ago
Tanya 1 day =100 unit (make).
Sakshi 1 day =75 unit.
Sakshi 20 days = 1500 unit make ( so this is total work ).
Then tanya make = 1500 / 100 = 15 days.
15 days 1500 unit.
15 --> Can Be Answer.
Sakshi 1 day =75 unit.
Sakshi 20 days = 1500 unit make ( so this is total work ).
Then tanya make = 1500 / 100 = 15 days.
15 days 1500 unit.
15 --> Can Be Answer.
Mithun said:
9 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.
Sakshi 125--------->20
Tanya 100-------->?
[cross multiply]
20 x 100 / 125 =16days.
Atul said:
9 years ago
Sakshi cannot be taken as 125, as Sakshi is the reference point here, she must be taken as 100.
So, Tanya becomes 75 (25% more efficient).
Then the ratio becomes 4:3 instated of 5:4.
So, Tanya becomes 75 (25% more efficient).
Then the ratio becomes 4:3 instated of 5:4.
Sahithikarne said:
9 years ago
25% of 20 is 5 then the answer is 20-5=15. But how it is 16?
Mahesh Neupane said:
9 years ago
Sakshi efficiency is 1/20.
Tanya Efficiency is 25% more than Sakshi.
So, 1/20+(25%of1/20)=16%.
Tanya Efficiency is 25% more than Sakshi.
So, 1/20+(25%of1/20)=16%.
Patrick said:
9 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.
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