Raman and Raju undertook a work for Rs. 5500. Raman alone can do that work in 5 days and Raju alone can do the same work in 6 days. If they work together, then what will be the difference in the amount they receive?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Rs. 500.
Given that, time taken by Raman alone to do the work = 5 days
Time taken by Raju alone to do the work = 6 days
Amount earned by them = 5500
Total work = Efficiency × Time taken
When two people work together, their wages are distributed in the ratio of their efficiencies.
Let the total work to be done LCM(5 , 6) be 30 units.
According to the given question,
Efficiency of Raman = = 6 units/day
Efficiency of Raju = = 5 units/day
Now, the wages will be distributed in the ratio 6 : 5.
Amount earned by Raman = = 3000
Amount earned by Raju = 5500 - 3000 = 2500
Difference in their amounts = 3000 - 2500
⇒ 500
Hence the difference in the amount they receive is Rs. 500.