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 6 of 10.
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.
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!
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.
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).
Santosh said:
9 years ago
Thanks @Kamlesh.
Bulu said:
9 years ago
Shaki = 20 days,
Tanya = 25% more efficient,
So that 25% of 20 = 5,
20 days - 5 days = 15 days.
Tanya = 25% more efficient,
So that 25% of 20 = 5,
20 days - 5 days = 15 days.
Aashi Mehta said:
9 years ago
If we solve in accordance with the question then the answer will be 15 I don't know why every body has taken it as 16.
Please tell me.
Please tell me.
Ayush said:
9 years ago
@All.
Refer the post of Kamlesh It's quite easy to understand, Thanks @Kamlesh.
Refer the post of Kamlesh It's quite easy to understand, Thanks @Kamlesh.
Soniya said:
9 years ago
Ratio of work done by Tanya and Sakshi = 125 : 100 = 5 : 4.
Ratio of times taken by Tanya and Sakshi = 4 : 5.
5x = 20days. ( Sakshi can complete the work in 20 days).
x = 4.
So, Tanya can finish the work in 16 days.
Ratio of times taken by Tanya and Sakshi = 4 : 5.
5x = 20days. ( Sakshi can complete the work in 20 days).
x = 4.
So, Tanya can finish the work in 16 days.
Cheenu said:
9 years ago
Can anybody explain this how x = 16 has come from this equation 5:4::20:x?
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