$A$ passenger buys $5$ tickets for Ahmadabad to Nadiad and $10$ tickets for Ahmadabad to Vadodara for Rs. $1050$. The total cost of a ticket for Ahmadabad to Nadiad and a ticket for Ahmadabad to Vadodara is Rs. $130$. Find the cost of a ticket for Ahmadabad to Nadiad as well as the cost of a ticket for Ahmadabad to Vadodara.

  • A
    Cost of ticket for Ahmadabad to Nadiad is Rs. $50$ and for Ahmadabad to Vadodara is Rs. $80$.
  • B
    Cost of ticket for Ahmadabad to Nadiad is Rs. $80$ and for Ahmadabad to Vadodara is Rs. $50$.
  • C
    Cost of ticket for Ahmadabad to Nadiad is Rs. $60$ and for Ahmadabad to Vadodara is Rs. $70$.
  • D
    Cost of ticket for Ahmadabad to Nadiad is Rs. $70$ and for Ahmadabad to Vadodara is Rs. $60$.

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