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?

₹12,000

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