GATE CS 2014 Set 1 QGA-8 — General Aptitude

We can calculate the total fare step-by-step as follows:

1. Base Fare Calculation:
   • One-way fare for $1$ person = $\text{Rs. } 100$
   • Round-trip fare for $1$ person (without discount) = $2 \times 100 = \text{Rs. } 200$
   • Total base fare for a group of $5$ tourists = $5 \times 200 = \text{Rs. } 1000$
2. Discounts Applicable:
   • Round-trip discount: $10\%$ on the total fare.
   • Group discount: Since the group size is $5$ (which is $\ge 4$), they qualify for an additional $5\%$ discount on the total fare.
   Since these discounts are additive on the total base fare:$$\text{Total Discount} = 10\% + 5\% = 15\%$$
3. Final Charged Fare:$$\text{Final Fare} = \text{Total Base Fare} \times (1 - 0.15)$$$$\text{Final Fare} = 1000 \times 0.85 = \text{Rs. } 850$$