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Nine tickets to Delhi and two tickets to Amritsar cost as much as two tickets to Delhi and seven tickets to Amritsar. What is the ratio of the cost of a ticket to Delhi that of Amritsar?

Nine tickets to Delhi and two tickets to Amritsar cost as much as two tickets to Delhi and seven tickets to Amritsar. What is the ratio of the cost of a ticket to Delhi that of Amritsar? Correct Answer 5 :7

Given:

Price of nine tickets to Delhi and two tickets to Amritsar = Price of two tickets to Delhi and seven tickets to Amritsar

Calculation :

Let the cost of a ticket to Delhi be Rs. x and of Amritsar be Rs. y.

⇒ Cost of nine tickets to Delhi and two tickets to Amritsar is = 9x + 2y

⇒ Cost of two tickets to Delhi and seven tickets to Amritsar is = 2x + 7y

⇒ 9x + 2y = 2x + 7y

⇒ 7x = 5y

⇒ x/y = 5/7

Hence the ratio of the cost of a ticket to Delhi that is Amritsar is 5 : 7.

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