GATE CSE 2014 Set 1 | Question: GA-8

Question

Round-trip tickets to a tourist destination are eligible for a discount of $10\%$ on the total fare. In addition, groups of $4$ or more get a discount of $5\%$ on the total fare. If the one way single person fare is $Rs$ $100$, a group of $5$ tourists purchasing round-trip tickets will be charged $Rs$ __________

Comments

@  Ayush Upadhyaya

In my first attempt, I came across this interpretation. as a silly mistake :)

Is my approach correct?

• In that case, first 10% discount on total fare 1000 will give 900.
• Then 5 % discount on net payable fare 900 will give 845.

 

 

---

@nocturnal123 small typo after 5% discont on net payable fare 900 it will give 855.

---

@Abhishek Rauthan same mistake i also did 

Answer 1

For individual, round-trip discount $10\%$ on TOTAL fare.

So, for each person, discount for Total fare of Rs. $200 =   200 \times 0.1 =20.$

So, for $5$ members discount $= 100$ rupees

For $5$ member group they is extra $5\%$ discount on TOTAL fare i.e.,  $5\times 200 \times  5\%= 50 $ rupees.

Total discount is $100+50=150.$

They have to pay $5 \times 200 - 150 = 850$ rupees

Comments

Total fare for 5 persons = $1000$.

Total discount applicable = $10 + 5 = 15\%$ on the total fare.

Amount remaining after discount = $0.85 * 1000 = 850$.

---

 

Please fix the below typo in best answer:

 

“So, for each person, discount for Total fare of Rs. 200=200×1.1=20.”

to

So, for each person, discount for Total fare of Rs. 200=200×0.1=20.

---

@Lucky sunda  because this is successive discount formula,in the given question we just have to give total discount at starting only.

Answer 2

One way single person fare is 100. Therefore 2 way
is 200.

For 5 persons it is 200 x 5 = 1000

Now 1st discount is of 10 % on total fare, which is
100( 10 % of 1000). And as the group is of more than 4, 
an additional discount of 5 % on total fare, which is 
50( 5 % of 1000).

Hence total discount is equal to 100 + 50 = 150.

Therefore tickets are charged at Rs 1000 - 150 = 850. 

Answer 3

Given that a group of 5 tourists purchasing round-trip tickets will get 5% (individual) + 10%(group of 4 or more) discount in total which is equal to 15%.

Total fare for a trip of 5 people = 5 * 200  = 1000

discount = 1000 * 15% = 150

Therefore total charge = 1000 - 150 = 850.

Answer 4

850 rs is the correct answer.