Q. A person can do a piece of work in 26 days and an another person can do the same work in 39 days. If they work together, then by what per cent the wages of 1 st person is more than that of 2nd person?
✅ Correct Answer: (D)
50%
Explanation: Let 1st person be X and 2nd person be Y.
Then, X's 1 day's work = 1/26
Y's 1 day's work = 1/39
X's share : Y's share
= 1/26 : 1/39 = 3/78 : 2/78 = 3 : 2
Difference of ratio = 3 - 2 = 1
∴ Required percentage = (1/2) x 100% = 50%
∴ 1 st person's wages is 50 % more than the 2nd person's wages.
Explanation by: Vikash Gupta
Let 1st person be X and 2nd person be Y.
Then, X's 1 day's work = 1/26
Y's 1 day's work = 1/39
X's share : Y's share
= 1/26 : 1/39 = 3/78 : 2/78 = 3 : 2
Difference of ratio = 3 - 2 = 1
∴ Required percentage = (1/2) x 100% = 50%
∴ 1 st person's wages is 50 % more than the 2nd person's wages.
Then, X's 1 day's work = 1/26
Y's 1 day's work = 1/39
X's share : Y's share
= 1/26 : 1/39 = 3/78 : 2/78 = 3 : 2
Difference of ratio = 3 - 2 = 1
∴ Required percentage = (1/2) x 100% = 50%
∴ 1 st person's wages is 50 % more than the 2nd person's wages.