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
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Correct Answer: Rs. 200
Solution : Let the efficiency of Mohit and Rohit be $M$ and $R$, respectively. ⇒ $\frac{M}{R}=\frac{\text{time taken by Rohit}}{\text{time taken by Mohit}}$ ⇒ $\frac{M}{R}=\frac{12}{10}=\frac{6}{5}$ So, Rs. 2200 will be divided in the ratio of 6 : 5. $\therefore$ Share of Mohit $=\frac{6}{6+5}×2200$ = Rs. 1200 So, share of Rohit = Rs. 2200 – Rs. 1200 = Rs. 1000 $\therefore$ Difference = 1200 – 1000 = 200 Hence, the correct answer is Rs. 200.
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Question : Rohit and Mohit can do a piece of work in 4 days, while Ram and Shyam can do the same work in 12 days. In how many days will Rohit, Mohit, Ram, and Shyam do it together?
Option 1: 5 days
Option 2: 3 days
Option 3: 4 days
Option 4: 2 days
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 : 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 : 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
Question : P, Q, and R can do a piece of work in 60 days, 100 days and 80 days respectively. They together work to finish the work and receive Rs. 2256. Then, P will get ___.
Option 1: Rs. 576
Option 2: Rs. 752
Option 3: Rs. 960
Option 4: Rs. 564
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