GATE CS Mastery
Cheat sheets

GATE CS 2014 Set 1 · General Aptitude

Question 8

NATPrinted as GA Q.82 marksNo negative markingEasy (estimate)

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 _________.

Official answer and solution
Official answer
850
From
Official GATE 2014 answer key

Solution

Calculate the total standard fare for the group and apply the specified discounts on the total fare.

Single person one-way fare = Rs 100.
Therefore, single person round-trip fare before discount = 2×100=Rs 2002 \times 100 = \text{Rs } 200.
For a group of 5 tourists, the total standard round-trip fare is:

Total base fare=5×200=Rs 1000\text{Total base fare} = 5 \times 200 = \text{Rs } 1000

According to the rules:

  1. Round-trip tickets get a 10% discount on the total fare.
  2. Groups of 4 or more get a 5% discount on the total fare.

Applying both discounts on the total fare:

Total discount percentage=10%+5%=15%\text{Total discount percentage} = 10\% + 5\% = 15\%
Total discount amount=15% of 1000=Rs 150\text{Total discount amount} = 15\% \text{ of } 1000 = \text{Rs } 150
Final charged fare=1000−150=Rs 850\text{Final charged fare} = 1000 - 150 = \text{Rs } 850
Final answer

850

Common trap

Applying discounts successively (1000×0.90×0.95=8551000 \times 0.90 \times 0.95 = 855) when the rule explicitly specifies both discounts 'on the total fare'.

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper
GATE 2014 Computer Science and Information Technology (CS) Session 1
Question
8 of 65, printed as GA Q.8
Section
General Aptitude

Report an error in this question

GATE questions are the work of the organising institutes. This site is independent and is not affiliated with them.