Given: Total distance travelled is 75 km
Fare of taxi is Rs. 12 per km
Fare of bus is Rs. 8 per km
Calculations: Let the distance travelled by bus be y
Remaining distance travelled by taxi is (75 - y)
According to the question, we have
⇒ (75 - y)12 + 8y = 760
⇒ 900 - 12y + 8y = 760.
⇒ -12y + 8y = 760 - 900
⇒ -4y = -140
⇒
y= ⇒ y = 35 km
∴ The distance travelled by bus is 35 km.