Question

Read the following passage:

Lokesh, a production manager in Mumbai, hires a taxi everyday to go to his office. The taxi charges in Mumbai consists of a fixed charges together with the charges for the distance covered. His office is at a distance of 10 km from his home. For a distance of 10 km to his office, Lokesh paid ₹ 105. While coming back home, he took another roµte. He covered a distance of 15 km and the charges paid by him were ₹ 155.

Based on the above information, answer the following questions:

1. What are the fixed charges?
2. What are the charges per km?
3. If fixed charges are ₹ 20 and charges per km are ₹ 10, then how much Lokesh have to pay for travelling a distance of 10 km? 
   OR
   Find the total amount paid by Lokesh for travelling 10 km from home to office and 25 km from office to home. [Fixed charges and charges per km are as in (i) and (ii).

Answer 1

Let the fixed charge be ₹ x and per kilometer charge be ₹ y

∴ x + 10y = 105    ...(1)

x + 15y = 155       ...(2)

From (1) and (2)

5y = 50

y = `50/5` = 10

From equation (1)

x + 100 = 105

x = 105 – 100 = 5

1. Fixed charges = ₹ 5
2. Per km charges = ₹ 10
3. a + 10b
   20 + 10 × 10 = ₹ 120
   OR
   Total amount = x + 10y + x + 25y
   = 2x + 35y
   = 2 × 5 + 35 × 10
   = 10 + 350
   = ₹ 360