Question

Sumedh is a science graduate. Driving is his passion. After finishing his graduation he drives a taxi in Sikkim. He charges a fixed amount together with the charge for the distance covered.

A person paid him Rs.1100/- for travelling 50 km by his taxi. On the next day a person paid him Rs 1900/-for travelling 90 km by his taxi

What are the fixed charges for his taxi?
Choose the correct option from given below
(A)Rs 50/-
(B)Rs 90/-
(C)Rs 100/-
(D)Rs 110 /-​

Answer 1

Given - Payment for 50 km = Rs. 1100/-

Payment for 90 km = Rs. 1900/-

Find - Fixed charges for taxi.

Solution - Let us assume that fixed charges by Sumedh for taxi are Rs. x and fare is Rs. y.

Now, forming mathematical expression on the basis of given information on fare and fixed charges, we get -

90y + x = 1900 ---> equation 1

50y + x = 1100 ---> equation 2

Subtracting equation 2 from equation 1, we get for the value of y

40y = 800

y = 20

Finding x by keeping value of y in the equation 1 -

90*20 + x = 1900

1800 + x = 1900

x = Rs. 100

Thus, fixed charges for taxi are (c) Rs. 100/-

Answer 2

Answer:

Hence, the fixed charge for his taxi is Rs100