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
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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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Question : A, B, and C are employed to do a piece of work for Rs. 575. A and C are supposed to finish $\frac{19}{23}$th of the work together. The amount shall be paid to B is:
Option 1: Rs. 210
Option 2: Rs. 100
Option 3: Rs. 200
Option 4: Rs. 475
Question : A and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?
Option 1: $3\frac{1}{8}$
Option 2: $5\frac{1}{8}$
Option 3: $6\frac{1}{8}$
Option 4: $\frac{2}{3}$
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Option 1: 8 days
Option 2: 16 days
Option 3: 30 days
Option 4: 32 days
Question : A can do a piece of work in 8 days and B can do it in 10 days separately. How many days would it take for both A and B to finish the same work together?
Option 1: $\frac{33}{8}$
Option 2: $\frac{40}{9}$
Option 3: $\frac{41}{10}$
Option 4: $\frac{42}{11}$
Question : A, B, and C can do a piece of work in 30, 20, and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?
Option 1: $9 \frac{3}{8}$ days
Option 2: $4 \frac{8}{8}$ days
Option 3: $8 \frac{4}{13}$ days
Option 4: $3 \frac{9}{13}$ days
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