Let me walk you through this step by step.
The agency has two pricing plans:
Plan 1 (
8 hours or less): You pay the GREATER of
RS.100/hour OR
RS.8/km.
Plan 2 (More than
8 hours): You pay the GREATER of
RS.80/hour OR
RS.6/km.
We know:
120 km driven,
RS.800 paid.
Step 1: Test Plan 1 (8 hours or less)The km-based charge would be:
8 ×
120 =
RS.960.
Since the rule says 'whichever is MORE,' the bill would be at least
RS.960.
But the company only paid
RS.800, which is less than
RS.960.
So Plan 1 is IMPOSSIBLE.Step 2: Test Plan 2 (More than 8 hours)The km-based charge would be:
6 ×
120 =
RS.720.
The hour-based charge would be:
80 × hours.
Again, the company pays whichever is MORE.
Since they paid
RS.800, and
RS.800 >
RS.720, the hour-based charge must be the one that applied.
So:
80 × hours =
800hours =
800 ÷
80 =
10Quick check: Is
10 greater than
8? Yes, so Plan 2 applies correctly.
Is max(
800,
720) =
800? Yes, matches the amount paid.
Answer: C —
10 hours.
Key principle: When a problem says 'whichever is more,' both conditions must be checked, and the larger value determines the bill. Use the given payment amount to rule out one plan entirely, then solve with the other.