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A Concert half ticket costs half the full basic ticket and the VIP area charge is the same on half ticket as on full ticket. One VIP ticket costs Rs. 216 and one full and one half VIP tickets cost Rs. 327. What is the basic full ticket cost and what is the VIP charge?

A Concert half ticket costs half the full basic ticket and the VIP area charge is the same on half ticket as on full ticket. One VIP ticket costs Rs. 216 and one full and one half VIP tickets cost Rs. 327. What is the basic full ticket cost and what is the VIP charge? Correct Answer Rs. 210 and Rs. 6

Let half of the full basic ticket cost be Rs. X.

∴ Full basic ticket is Rs. 2X.

Let the VIP charge be Rs. Y per ticket.

Now, one full VIP ticket would cost 2X (basic Ticket cost) + Y (VIP charge)

⇒ 2X + Y = 216

The total basic fare for one half and one full ticket = X + 2X = 3X

The total reservation charge is 2Y.

⇒ 3X + 2Y = 327

On solving we get, X = 105 and Y = 6

∴ The full basic ticket cost is 2X = Rs. 210 and the VIP charge is Y = Rs. 6

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