Question : Sachin is 12.5 percent less efficient than Rohit. If Sachin alone can finish a work in 24 days, then in how many days will Rohit alone finish the same work?
Option 1: 16 days
Option 2: 21 days
Option 3: 18 days
Option 4: 20 days
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Correct Answer: 21 days
Solution : Given: Sachin is 12.5 percent less efficient than Rohit. The ratio of efficiency of Sachin and Rohit = (100 – 12.5) : 100 = 87.5 : 100 = 875 : 1000 = 7 : 8 The ratio of time taken by Sachin and Rohit = 8 : 7 Let the time taken by Sachin and Rohit alone be 8k and 7k respectively, 8k = 24 So, k = 3 Time taken by Rohit alone = 7k = 7 × 3 = 21 days. Hence, the correct answer is 21 days.
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Question : Anil is 12.5% more efficient than Sachin. If Sachin alone can finish a work in 10 days, then in how many days will Anil alone finish the same work?
Option 1: $\frac{80}{7}$ days
Option 2: $\frac{70}{9}$ days
Option 3: $\frac{80}{9}$ days
Option 4: $\frac{70}{11}$ days
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
Question : A1 alone can do a work in 12 days and A2 alone can do the same work in 15 days. With help of A3, they finish the same work in 5 days. In how many days A3 alone can do the same work?
Option 1: 16
Option 2: 20
Option 3: 24
Option 4: 27
Question : A can do a piece of work alone in 40 days. A and B together can do the same work in 10 days. C is 50% less efficient than B. In how many days can A and C together complete the same work?
Option 1: 20 days
Option 2: 24 days
Option 3: 16 days
Option 4: 12 days
Question : Mahesh, Suresh and Raju together can complete a work in 18 days. Mahesh and Suresh together can complete the same work in 72 days. Raju alone can finish the same work in how many days?
Option 1: 21
Option 2: 24
Option 3: 34
Option 4: 18
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