If all five drivers get bonus, what is the minimum possible value of the monthly payment (in rupees) that a driver gets?

Name	P1	P2	P3	P4	P5	Final Rating	Fixed Payment	Bonus Formula
Arun				4			Rs.1000	Rs.250 × Final Rating
Barun	3						Rs.1200	Rs.200 × Final Rating
Chandan			2				Rs.1400	Rs.100 × Final Rating
Damodaran	3						Rs.1300	Rs.150 × Final Rating
Eman					2		Rs.1100	Rs.200 × Final Rating

Our objective here is to minimize the final ratings in order to find the minimum value of the monthly payment.

We cannot have a rating of 1 in any of the parameters since all the drives got the bonus and we need to have at least one parameter with a rating of 5. With this understanding, we obtain the following:

Arun:

Minimum rating = (5+4+2+2+3)/5

Minimum sum of ratings = $16$.

Rating = $16/5 = 3.2$.

Payment = $1000 + 3.2 \times 250 = 1000 + 800 = 1800$.

Barun:

minimum rating = (5+3+2+2+3)/5

Minimum sum of ratings = $15$.

Rating = $15/5 = 3.0$.

Payment = $1200 + 3.0 \times 200 = 1200 + 600 = 1800$.

Chandan: {rating of 5 in exactly two parameters based on condition 1}

minimum rating = (5+5+2+2+3)/5

Minimum sum of ratings = $17$.

Rating = $17/5 = 3.4$.

Payment = $1400 + 3.4 \times 100 = 1400 + 340 = 1740$.

Damodaran:

minimum rating = (5+3+2+2+3)/5

Minimum sum of ratings = $15$.

Rating = $15/5 = 3.0$.

Payment = $1300 + 3.0 \times 150 = 1300 + 450 = 1750$.

Eman:

Minimum rating = (5+3+2+2+3)/5

Minimum sum of ratings = $15$. Rating = $15/5 = 3.0$. Payment = $1100 + 3.0 \times 200 = 1100 + 600 = 1700$.

The minimum payment among all drivers is $1700$ (for Eman).