A can do $\frac{1}{4}^{\text {th}}$ of a work in 3 days and B can do $\frac{1}{6}^{\text {th}}$ of the same work in 4 days. How much will A get if both worked together and are paid ₹18,000 in all?
Answer & explanation
Correct answer: option 4
A can do $\frac{1}{4}^{\text {th}}$ of a work = 3 days
A can do complete work in = 4 × 3 = 12 days
B can do $\frac{1}{6}^{\text {th}}$ of a work = 4 days
B can do complete work in = 6 × 4 = 24 days
Total work = efficiency × time
A : B
Time 12 : 24
1 : 2
Efficiency 2 : 1
Profit ratio divide according to efficiency ratio.
3R = 18000
1R = 6000
So, share of A = 2R = 2 × 6000
= 12000
The correct answer is Option (1) → ₹12,000