Adult fare = Rs.114

According to the question,

Child fare = \( \Large \frac{1}{6} \times \  Adult \  fare \)

\( \Large \frac{1}{6} \times 114 = Rs.19 \)

Therefore, Total amount paid by 4 adults and 5 childrens are for the same distance

= Rs.\( \Large 4 \times 114 + 5 \times 19 \)

= Rs. \( \Large \left(456 + 95\right) = Rs.551 \)