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 3 of 10.
Soumil said:
1 decade ago
The ratio should be 100:75::20:x, not 125:100::20:x.
San said:
1 decade ago
Efficiency is : (1/Number of total days to complete a work).
So, efficiency of sakshy = 1/20.
And,efficiency of Tanya = 1/20 + 25% of (1/20).
Which is,
1/16.
So, Tanya will complete in 16 days.
So, efficiency of sakshy = 1/20.
And,efficiency of Tanya = 1/20 + 25% of (1/20).
Which is,
1/16.
So, Tanya will complete in 16 days.
Roji said:
1 decade ago
Hi friends,
Why can't we do in this manner?
Sakshi can done in 20 days i.e.,100%.
Where as, Tanya is x days i.e., 125%.
By cross multiplication,
x = (125*20)/100 = 25.
Answer we get 25.
So, am I wrong?
Already this type of process done in 17th sum but here it is not working yar.
Why can't we do in this manner?
Sakshi can done in 20 days i.e.,100%.
Where as, Tanya is x days i.e., 125%.
By cross multiplication,
x = (125*20)/100 = 25.
Answer we get 25.
So, am I wrong?
Already this type of process done in 17th sum but here it is not working yar.
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.
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.
Sai said:
1 decade ago
Tanya's one day work =(1/20 + 25% of 1/20) = 1/20+1/80 = 1/16 once explain the equation.
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.
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.
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?.
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.
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.
Iqbal sofi said:
1 decade ago
It should be 15, because the 25% reduction of 20 is 15.
Manjula said:
1 decade ago
Sakshi working days in 20 days means 100%.
Tanya working days ?
100%-75% = 25%
So 20*25/125 = 4.
20 days - 4 = 16 days.
Tanya working days ?
100%-75% = 25%
So 20*25/125 = 4.
20 days - 4 = 16 days.
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