Question

From Rajiv Chowk Metro Station, if Charu buys 4 tickets to Karol Bagh and 6 tickets to Hauz Khas, then total cost is Rs 92, but if she buys 6 tickets to Karol Bagh and 10 tickets to Hauz Khas, then total cost is rupees 148.

Consider the fares from Rajiv Chowk to Karol Bagh and that to Hauz Khas as Rs x and Rs y respectively and then answer the following questions.

1. Find the fare from Rajiv Chowk to Karol Bagh.

2. Find fare from Rajiv Chowk Hauz Khas.

Answer 1

4x + 6y = 92        .....(1)

6x + 10 y = 148    ......(2)

⇒ 12x + 18y = 276   .....(3)   (On multiplying equation (1) by 3)

12x + 20y = 296      ......(4)   (On multiplying equation (2) by 2)

Equation (4) - Equation (3), we get

2y = 20

⇒ y = 10

∴ From (1), we get

4x + 60 = 92

⇒ \(x = \frac {92 - 60}{ 4} = \frac {32}{4} = 8\)

(i) The fare from Rajiv Chowk to Karol Bagh  is x = Rs 8

(ii) The fare from Rajiv chowk to Haus Khas is y = Rs 10