Q12 of 186 Page 4

Scooter charges consist of fixed charges and the remaining depending upon the distance travelled in kilometres. If a person travels 12 km, he pays Rs. 45 and for travelling 20 km, he pays Rs. 73. Express the above statements in the form of simultaneous equations and hence, find the fixed charges and the rate per km.

Let fixed charge = Rs x


and charge per kilometer = Rs y


According to the question,


x + 12y = 45 …(i)


and x + 20y = 73 …(ii)


On subtracting Eq. (i) from Eq. (ii), we get


x + 20y – x – 12y = 73 – 45


⇒ 8y = 28



On putting the value of y = 3.5 in Eq. (i), we get


x + 12(3.5) = 45


⇒ x + 42 = 45


⇒ x = 45 – 42 = 3


Hence, monthly fixed charges is Rs. 3 and charge per kilometer is Rs. 3.5


More from this chapter

All 186 →
10

Two numbers differ by 4 and their product is 96. Find the numbers.

 11

The monthly incomes of A and B are in the ratio of 5 : 4 and their monthly expenditures are in the ratio of 7 : 5. If each saves Rs. 3000 per month, find the monthly income of each.

 13

A part of monthly hostel charges in a college is fixed and the remaining depend on the number of days one has taken food in the mess. When a student A, takes food for 22 days, he has to pay Rs. 1380 as hostel charges, whereas a student B, who takes food for 28 days, pays Rs. 1680 as hostel charges. Find the fixed charge and the cost of food per day.

 14

Taxi charges in a city consist of fixed charges per day and the remaining depending upon the distance travelled in kilometers. If a person travels 110 km, he pays Rs. 690, and for travelling 200 km, he pays Rs. 1050. Find the fixed charges per day and the rate per km.