Question : A and B were assigned to do a job for Rs. 1,200. Working alone, A can do it in 15 days and B, in 12 days. With the help of C, they can finish in 5 days. The share of the amount that C earns is:
Option 1: Rs. 300
Option 2: Rs. 400
Option 3: Rs. 500
Option 4: Rs. 600
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Correct Answer: Rs. 300
Solution : The time taken by A alone = 15 days ⇒ Part of the work done by A in 1 day = $\frac{1}{15}$ The time taken by B alone = 12 days ⇒ Part of the work done by B in 1 day = $\frac{1}{12}$ Let the time taken by C alone = $x$ ⇒ Part of the work done by C in 1 day = $\frac{1}{x}$ The time taken by A, B, and C = 5 days ⇒ Part of the work done by A, B, and C together in 1 day = $\frac{1}{5}$ According to the question, $\frac{1}{5}=\frac{1}{15}+\frac{1}{12}+\frac{1}{x}$ ⇒ $\frac{1}{x}=\frac{1}{5}-\frac{1}{12}-\frac{1}{15}=\frac{12 – 5 – 4}{60} = \frac{1}{20}$ The ratio of the amounts A, B, and C earn $= \frac{1}{15} : \frac{1}{12} :\frac{1}{20} = 4: 5: 3$ Since total amount = 1200, Share of the amount earned by C = $\frac{3}{12}× 1200$ = Rs. $300$ Hence, the correct answer is Rs. 300.
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Question : Mohit and Rohit undertook a work for Rs. 2200. Mohit alone can do that work in 10 days and Rohit alone can do the same work in 12 days. If they work together, then what will be the difference in the amount they receive?
Option 1: Rs. 500
Option 2: Rs. 200
Option 3: Rs. 600
Option 4: Rs. 400
Question : K1 can do a piece of work alone in 4 days, K2 can do the same work alone in 8 days, while K3 can do it alone in 32 days. They work together to complete the work and receive a total of Rs. 3,900 as payment for doing the work. What is the share of the person who received the maximum amount?
Option 1: Rs. 1,200
Option 2: Rs. 2,400
Option 3: Rs. 2,000
Option 4: Rs. 1,600
Question : Stanie and Paul accept a piece of work for Rs. 28,800. Working alone, one could do it in 36 days and the other, in 48 days. With the assistance of an expert, they finish it in 12 days. How much remuneration should the expert get?
Option 1: Rs. 10,000
Option 2: Rs. 18,000
Option 3: Rs. 16,000
Option 4: Rs. 12,000
Question : Z1 and Z2 together complete a work in 15 days. Z2 alone can complete the same work in 30 days. They took Rs. 2,000 to complete the work together. What will be the share of Z1?
Option 1: Rs. 1,500
Option 2: Rs. 2,000
Option 3: Rs. 1,000
Option 4: Rs. 500
Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Option 1: 12 days
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
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