1.

From Vadodara station, if we buy two tickets to station P and three tickets to station Q, the total cost is Rs. 77, but if we buy 3 tickets to station P and 5 tickets to station Q, the total cost is Rs. 124. The fare from Vadodara to P is:1. Rs. 132. Rs. 143. Rs. 184. Rs. 20

Answer» Correct Answer - Option 1 : Rs. 13

Given:

From Vadodara station, if we buy two tickets to station P and three tickets to station Q, the total cost is Rs. 77, but if we buy 3 tickets to station P and 5 tickets to station Q, the total cost is Rs. 124

Concept used:

Linear equation in two variables.

Calculation:

Two tickets to station P and three tickets to station Q

⇒ 2P + 3Q = 77 - (i)

Three tickets to station P and 5 tickets to station Q

⇒ 3P + 5Q = 124 - (ii)

Solve the above two equations

⇒ (2P + 3Q = 77) × 5

⇒ (3P + 5Q = 124) × 3

⇒ 10P + 15Q = 385 - (iii) 

⇒ 9P + 15Q = 372 - (iv)

Solving Equation three and four we get

⇒ P = 385 - 372 = 13

∴ The Fare from Vadodara to station P is Rs.13

 


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