A railway half ticket costs half the full fare and the reservation charge is the same on the half ticket as on full ticket. One reserved first class ticket from Mumbai to Ahmedabad costs rs216 and one full and one half reserved first class tickets cost rs 327 What is the basic first class full fare and what is the reservation charge?

Explanation

Let cost of full fare ticket be Rs x and reservation charge be Rs y.

As per the statement, "One reserved first class ticket from Mumbai to

Ahmedabad costs Rs. 216." ={x}+{y}=216- (1)

And, "one full and one half reserved first class ticket cost Rs. `327^{prime prime} Rightarrow(x+y)+
(frac{x}{2}+y)=327 Rightarrow frac{3 x}{2}+2 y=327`

Multiplying equation (1) with 2 we get, 2 {x}+2 {y}=432 ldots equation (3)

Subtracting equation (2) from (3), we get `frac{pi}{2}=105 Rightarrow x=210`

Substituting {x}=210 in the equation (1), we get `210+{y}=216 Rightarrow y=6`

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