2 train tickets from Mohali to Delhi and 3 tickets from Mohali to Jammu cost ₹800. But 3 tickets from Mohali to Delhi and 2 tickets from Mohali to Jammu cost ₹700. What are the ticket prices for Delhi and Jammu, respectively, from Mohali?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. ₹100, ₹200.
Let the ticket from Mohali to Delhi be Rs. x and the ticket from Mohali to Jammu is Rs. y.
According to the question;
2x + 3y = 800 ------- (1)
3x + 2y = 700 -------- (2)
Solving equations 1 and 2,
x = (800 - 3y)/2
Substituting the value of x in equation 2;
3((800 - 3y)/2) + 2y = 700
y = 200
x = 100
Hence, the ticket price for Mohali to Delhi and Mohali to Jammu is Rs.100 and Rs. 200 respectively.