Book Online Demo
Check Your IQ
Try Test

Courses

Dropper NEET CourseDropper JEE CourseClass - 12 NEET CourseClass - 12 JEE CourseClass - 11 NEET CourseClass - 11 JEE CourseClass - 10 Foundation NEET CourseClass - 10 Foundation JEE CourseClass - 10 CBSE CourseClass - 9 Foundation NEET CourseClass - 9 Foundation JEE CourseClass -9 CBSE CourseClass - 8 CBSE CourseClass - 7 CBSE CourseClass - 6 CBSE Course

Q.

A railway half ticket costs half the cost of a full ticket, but the reservation charges are the same on a half ticket and a full ticket. One reserved first-class ticket from station A to B costs Rs 2530. Also, one reserved first-class ticket and one reserved first-class half ticket from A to B costs Rs 3810. What is the cost of reservation and the price of a full ticket?


see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

Rs. 50, Rs. 1900

b

Rs. 20, Rs. 2800

c

Rs. 30, Rs. 2500

d

Rs. 40, Rs. 3500 

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

It is given that a railway half ticket costs half the cost of a full ticket and the reservation charges are the same on a half ticket and a full ticket.
One reserved first-class ticket from station A to B costs Rs 2530.
Also, one reserved first-class ticket and one reserved first-class half ticket from A to B costs Rs 3810.
Let the cost of one full ticket be Rs x and the reservation cost for a ticket be Rs y.
Then the cost of the half ticket would be Rs.  x 2  .
According to the given condition, we get,
x+y=2530  ..... (1)  
And,
x+y+ x 2 +y=3810 ⇒ 3x 2 +2y=3810 ⇒3x+4y=7620  ......  (2)  
On multiplying equation (1) by 4 and subtracting equation (2), we get,
4x−3x+4y−4y=10120−7620 ⇒x=2500  
On substituting the value of x= 2500 in the equation (1), we get,
⇒2500+y=2530 ⇒y=30  
Thus, the cost of a full fare for the first-class ticket from station A to B is Rs. 2500 and the reservation charge is Rs 30.
Hence, the correct option is 3.
 
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
How to Join IIT after 10th
whats app icon