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:
95 comments Page 9 of 10.

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

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.

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.

Xyz said:   1 decade ago
Thanks Kamlesh !!!

Preethy 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 rite? but how the answer is 16?

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

Chandu said:   2 decades ago
5 : 4 :: 20 : x

Can you explain the meaning of the above line?

Deepti said:   2 decades ago
Thanks sundar that solves so many other related problems.

Kiran Joy said:   2 decades ago
Can't we take time taken by tanya and sakshi as 75:100.


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