A, B and C contract to do a work for ? 4200. A can do the work in 6 days, B in 10 days and C in 12 days.
From given question, As we know that
A can do the work in 6 days.
A can do 1/6 work in one day.
B can do the same work in 10 days.
B can do 1/10 work in one day.
C can do the same work in 12 days.
C can do 1/12 work in one day.
Work done shared by A : B : C = 1/6 : 1/10 : 1/12
Multiply by 60, we will get,
Work done shared by A : B : C = 10 : 6 : 5
Let us assume ration variable is P.
According to question,
10P + 6P + 5P = 4200
? 21P = 4200
? P = 200
A's share = 10P = 10 x 200 = ? 2000
B's share = 6P = 6 x 200 = ? 1200,
C's share = 5P = 5 x 200 = ? 1000
The ratio of efficiency of man to boy
= 6 : 1
Efficiency ? Wages
? Boy's share = [1 / (1+6)] x 1400
(1/7) x 1400 = ? 200
Now, they worked for 10 days.
? Daily wages of a boy = 200/10 = ? 20
A's 1 day's work = 1/3
B's 1 day's work = 1/4
A's share : B's share
= (1/3) : (1/4) = (4/12) : (3/12)
= 4 : 3
A's share = (4/7) x 2800
= 4 x 400
= ? 1600
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.
A's 1 day's work = 1/2
B's 1 day's work = 1/3
A's share : B's share = 1/2 : 1/3 = 3/6 : 2/6 = 3 : 2
A's share (3/5) x 6000 = 3 x 1200 = ? 3600
? 20% of A's share 3600 x (20/100) = ? 720
Vandana's 1 day's work = 1/10
(vandana + Ruchi)'s 1 day work =1/6
? Ruchi's 1 day's work
= 1/6 - 1/10 = (10 - 6)/ (6 x 10) = 4 / 60 = 1/15
? Vandana's share : Ruchi's share
= 1/10 : 1/15 = 3/30 : 2/30 = 3 : 2
Ruchi's share = 2/5 x 200 = ? 80
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