Question

The charges of a hired car are Rs 4 per km for the first 60 km, Rs 5 per km for the next 60 km and Rs 8 for every 5 km for further journey. If the balanced amount leftover with Mr. Arshad is 1/4 of what he paid towards the charges of the hired car for travelling 320 km, how much money did he have initially with him?

Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• The charges of a hired car are Rs 4 per km for the first 60 km

• Rs 5 per km for the next 60 km

• Rs 8 for every 5 km for further journey.

• The balanced amount leftover with him is 1/4 of what he paid towards the charges of the hired car for travelling 320 km

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The money Mr. Arshad have initially with him.

$\bf{\underline{\underline\green{Solution:-}}}$

Charges per 1km for first 60 km = Rs.4

Charges for first 60km = 60 × 4 = Rs. 240.

Charges per 1km for second 60km = Rs.5

Charges for second 60km = 60 × 5 = Rs.300

Given:- Total distance = 320km

He already travelling 120km

Remaining distance

= 320 - 120

= 200km

Given:- Rs.8 is charged for every 5km for remaining distance.

Number of 5km is 200km

= 200/5 = 40

Charges for 200km

= 40 × 8

= Rs. 320

Total charges paid by Mr.Arshad

= 240 + 300 + 320

= Rs. 860

Given:-

The money left with him is ¼ of what he had paid

So:-

Money left with him

$= \dfrac{860}{4}$

= Rs.215

Money that he initially had

= 860 + 215

= Rs. 1750

So; Initially Mr. Arshad had Rs. 1750 with him