Civil Services Prep

Prelims 2026 · CSAT / Quantitative Aptitude · Question 80

A shopkeeper employs a delivery boy and gives him a motorcycle for home delivery. For every delivery, the boy is given ₹ 5. At the end of the day, he also gets ₹ 2 for every kilometre of the distance covered in the day. The boy wants to earn more than ₹ 500 a day, but does not want to travel more than 100 km. Which of the following numbers of deliveries would definitely meet his target?

  1. 80
  2. 85
  3. 90
  4. The question cannot be answered due to insufficient data

Answer

The question cannot be answered due to insufficient data

Let deliveries = n and distance covered = d km.
Earnings = 5n + 2d, with d ≤ 100.
To earn more than 500, distance required depends on n:
For 80 deliveries: need d > 50
For 85 deliveries: need d > 37.5
For 90 deliveries: need d > 25
But the actual distance for those deliveries is not given. Since payout depends on both number of deliveries and kilometres, none of A/B/C is guaranteed from the information supplied.

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