Advertisements
Advertisements
प्रश्न
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 80km, he pays Rs. 1330, and for travelling 90km, he pays Rs. 1490. Find the fixed charges per day and the rate per km.
उत्तर
Let fixed charges be Rs.x and rate per km be Rs.y.
Then as per the question
x + 80y = 1330 ………(i)
x + 90y = 1490 ……..(ii)
Subtracting (i) from (ii), we get
10y = 160 ⇒ y = `160/10` = 16
Now, putting y = 16, we have
x + 80 × 16 = 1330
⇒x = 1330 – 1280 = 50
Hence, the fixed charges be Rs.50 and the rate per km is Rs.16.
APPEARS IN
संबंधित प्रश्न
Solve for x and y:
3x - 5y - 19 = 0, -7x + 3y + 1 = 0
Solve for x and y:
4x - 3y = 8, 6x - y = `29/3`
Solve for x and y:
`x/a + y/b = 2, ax – by = (a^2 – b^2)`
If three times the larger of two numbers is divided by the smaller, we get 4 as the quotient and 8 as the remainder. If five times the smaller is divided by the larger, we get 3 as the quotient and 5 as the remainder. Find the numbers.
A number consisting of two digits is seven times the sum of its digits. When 27 is subtracted from the number, the digits are reversed. Find the number.
The area of a rectangle gets reduced by 67 square meters, when its length is increased by 3m and the breadth is decreased by 4m. If the length is reduced by 1m and breadth is increased by 4m, the area is increased by 89 square meters, Find the dimension of the rectangle.
A railway half ticket costs half the full fare and the reservation charge is the some on half ticket as on full ticket. One reserved first class ticket from Mumbai to Delhi costs ₹4150 while one full and one half reserved first class ticket cost ₹ 6255. What is the basic first class full fare and what is the reservation charge?
Find the value of k for which the system of linear equations has an infinite number of solutions.
2x + 3y – 7 = 0,
(k – 1)x + (k + 2)y=3k
Find the value of k for which the following pair of linear equations has infinitely many solutions.
2x + 3y = 7, (k +1) x+ (2k -1) y = 4k + 1
The pair of equations x = a and y = b graphically represents lines which are ______.
