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Q.

The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per kilometer?


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a

Fixed charge is Rs.51 and charge per kilometer is Rs. 10.

b

Fixed charge is Rs.10. and charge per kilometer is Rs. 5.

c

Fixed charge is Rs.15and charge per kilometer is Rs. 5.

d

Fixed charge is Rs. 50. and charge per kilometer is Rs 20.  

answer is A.

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Detailed Solution

Given a taxi with fixed charge along with charge for distance covered.
Let fixed charge be Rs x and charge per km be Rs y.
⇒x+10y=105……..(1)
⇒x+15y=155………..(2)
Now from equation (2),
⇒15y=155-x
⇒y=155-x15………….(3)
Substituting y=155-x15 in equation (1),
⇒x+10(155-x)15=105
⇒15x+1550-10x=1575
⇒5x=1575-1550
⇒5x=25
⇒x=5
Substituting x=5 in equation (2),
⇒5+15y=155
⇒15y=155-5
⇒15y=150
⇒y=10
Hence, x=Rs.5 and y=Rs.10.
Therefore, option (1) is correct.
 
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The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per kilometer?