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?<br/>

  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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