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:
94 comments Page 5 of 10.

Ramesh said:   1 decade ago
Sakshi's one day work is 1/20.
Tanya is 25% of sakshi it means 1/20+25%1/20.

= (1/20+25/100*1/20).
= (1/20+1/80).
= 1/16 for one day.

So 16 days to do total work.

Kamlesh jaiswal said:   1 decade ago
The given answer is correct.

Sakshi's one day work=1/20
Tanya's one day work =(1/20 + 25% of 1/20) = 1/20+1/80 = 1/16.

So Tanya can complete the work in 16 days.
(1)

Sandeep said:   1 decade ago
(1/20 + 25% of 1/20).
Here 25 % of 1/20 is 1/5.

Then add,
(1/20+1/5), we get,
(1+4/20).

Then we get 1/4.

Above we got 4 days, then subtract 20 from 4
20-4 = 16.

Dhiman saab said:   1 decade ago
@Chandu.

It means 5:4 is known 125:100.
:: may mean equal to
20 here is the number of days taken by Sakshi and we are supposing x to be the days taken by Tanya.

Vishal Bhadikar said:   7 years ago
Why not 15 days? Explain..
100%=20 day.
25%=x day.
X = 5 days.

Now take efficient that we need to subtract 20-5 = 15 days.
Explain to me if I am wrong.
(2)

Shravani said:   1 decade ago
If tanya is 25% more efficient than sakshi (which means tanya>sakshi) then how cum the ratio between sakshi n tanya is 125:100 it should be 100:125 right?.

Leela said:   6 years ago
@Ashan Naveed.

Consider 100 unit by Sakshi
Tanya 125 unit. Y can't we consider Sakshi by 125 days. Tanya in 100 days. Mainly unitary method how can we solve.
(1)

Deepak khandagale said:   8 months ago
Sakshi completed the task in 20.
Tanya is 25% more efficient than Sakshi,
So 20/25= 0.8,
0.8 * 20 = 16,
So, Tanya takes 16 days to complete the whole task.
(2)

Sandeep said:   1 decade ago
If tanya is 25% more efficient than sakshi (whic means tanya>sakshi) then how cum the ratio between sakshi n tanya is 125:100 it should be 100:125 right?.

Moses said:   8 years ago
15 is the answer because we are reducing Sakshi's work time by 25% Hence multiply 20 days by 0.75 which will give 15days.

15 days is definitely the answer.


Post your comments here:

Your comments will be displayed after verification.