The taxi charges in a city contain fixed charges and additional charge per kilometer. The fixed charge is for a distance of up to 5 km and additional charge per kilometer thereafter. The charge for a distance of 10 km is ₹ 350 and for 25 km is ₹ 800. The charge for a distance of 30 km is

let the fixed charges = ₹ p for first 5 km
and the additional charges = ₹ q per km
according to the question
p + 5q = 350........... (1)
p + 20q = 800...........(2)
on subtracting Eq. 1 from Eq. 2 we get
15q = 450
q = 30
On putting the value of q in Eq. (1) we get
p = 200
∴ charge for a distance of 30 km = p + 25q
= 200 + 30 x 25 = ₹ 950