Question

The bus fare of a journey is rs. 12.67 per km, but the driver gives discount in the following slab 1st km no discount , 2nd km rs. 0.07 discount and 3rd km rs. 0.14 discount , 4th km Rs. 0.21 discount. The maximum disount per km is nore more than Rs. 0.70. Find the following :

a). The bus fare per km for first 10 km

b). Mahesh , Puja and Imraan traveled 14 km. Determine the fare per person.

c). What will be the travel cost if a person travels 3 km ?

Answer 1

Answer :

Given
Fare of journey = 12.67 rs / km

Discount per km As

For first km = 0 rs
For second km = 0.07 rs
For third km = 0.14 rs
For fourth km = 0.21 rs
And continue as :
For fifth km = 0.21 + 0.07 = 0.28 rs
For sixth km = 0.28 + 0.07 = 0.35 rs
For seventh km = 0.35 + 0.07 = 0.42 rs
For eight km = 0.42 + 0.07 = 0.49 rs
​For ninth km = 0.49 + 0.07 = 0.56 rs
For tenth km = 0.56 + 0.07 = 0.63 rs
For eleventh km = 0.63 + 0.07 = 0.70 rs
​After that discount remains 0.70 , As given maximum discount will be 0.70 rs
So,
From the question:

Bus fare on Ist km=12.67 Rs
Bus fare on 2nd km = 12.67 - 0 .07 = 12.60 Rs
Bus fare on 3rd km= 12.67 - 0.14 = 12.53 Rs
Bus fare on 4th km= 12.67 - 0.21 = 12.46 Rs
Bus fare on 5th km= 12.67 - 0.28 = 12.39 Rs
Bus fare on 6th km= 12.67 - 0.35 = 12.32 Rs
Bus fare on 7th km= 12.67 - 0.42 = 12.25 Rs
Bus fare on 8th km = 12.67 - 0.49 = 12.18 Rs
Bus fare on 9th km= 12.67 - 0.56 = 12.11 Rs
Bus fare on 10th km= 12.67 - 0.63 = 12.04 Rs
Bus fare on 11th km= 12.67 - 0.70 = 11.97 Rs
Bus fare on 12th km= 12.67 - 0.70 = 11.97 Rs​
Bus fare on 13th km= 12.67 - 0.70 = 11.97 Rs​
Bus fare on 14th km= 12.67 - 0.70 = 11.97 Rs​

a) Bus fare on first 10 km = 12.67 Rs + 12.60 Rs + 12.53 Rs + 12.46 Rs + 12.39 Rs + 12.32 Rs + 12.25 Rs + 12.18 Rs + 12.11 Rs + 12.04 Rs

= 123.55
So , Per km for first 10 km rate = $\frac{123.55}{10}$ =12.355 Rs / km ( Ans )

b) Total Bus fare for Mahesh,Puja and Imran travelled 14th km = 12.67 Rs + 12.60 Rs + 12.53 Rs + 12.46 Rs + 12.39 Rs + 12.32 Rs + 12.25 Rs + 12.18 Rs + 12.11 Rs + 12.04 Rs + 11.97 Rs + 11.97 Rs + 11.97 Rs + 11.97 Rs

= 171.43 Rs

c) Travel cost for if person travels 3 km=12.67+12.60+12.53 = 37.80 Rs