Correct Answer - Option 1 : 480,600,720
Given:
Ravi, Rakesh and Reema can do a
work in 20, 12 and 25 days.
Ravi, Rakesh and Reema work for
5.33 days, 4 days and 10 days separately.
Total amount paid to them for
this work = Rs.1800
Formula Used:
Total work = Efficiency × Time
Calculation:
For Total Work we will take LCM of (20, 12 and 25) = 300.
So, Total assumed work will be 300 units.
Now, Efficiency of Ravi = Total work units/No. of days taken
= 300/20 = 15 units/day
Efficiency of Rakesh = 25 units/day
and Efficiency of Reema = 12 units/day
Ratio of their shares can be obtained by multiplying
Their efficiencies with no. of days they have taken separately to complete the work.
So, Ratio of Shares of Ravi, Rakes and Reema
= Efficiency of Ravi × 5.33 : Efficiency of Rakesh × 10 : Efficiency of Reema × 4
= 15 × (16/3) : 25 × 4 : 12 × 10
= 80 : 100 : 120
Sum of (80 + 100 + 120) R = 1800 (where R indicates ratio value)
⇒ 300R = 1800
⇒ R = 6
Share of Ravi = 80R = 80 × 6 = Rs. 480
Share of Rakesh = 100R = 100 × 6 = Rs. 600
Share of Reema = 120R = 120 × 6 = Rs. 720
The share of each one is Rs. 480, Rs. 600 and Rs. 720
