Question : A, B, and C are employed to do a piece of work for INR 5,290. A and B together are supposed to do $\frac{19}{23}$ of the work and B and C together $\frac{8}{23}$ of the work. Then A should be paid:
Option 1: INR 4,250
Option 2: INR 3,450
Option 3: INR 1,950
Option 4: INR 2,290
Correct Answer: INR 3,450
Solution :
Part of work done by A and B together = $\frac{19}{23}$ of total work
Part of work done by B and C together = $\frac{8}{23}$ of total work
Part of the work done by A alone
= Total work – Part of work done by B and C together
= (1 – $\frac{8}{23}$ ) of total work
= $\frac{15}{23}$ of total work
Total wages = INR 5,290
So, the wage of A = $\frac{15}{23}$ × 5290 = INR 3,450
Hence, the correct answer is INR 3,450.
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