Reena, Reema, and Meera rent a car and use it for 14 h, 16 h, and 22 h respectively. If the total rent for the car is ₹2080 and cost is shared in proportion to hours used, how much must Meera pay?

Introduction / Context:
Shared rentals are commonly split in proportion to usage. Here, the usage metric is hours the car was used by each person. Each person pays total rent multiplied by their usage fraction.

Given Data / Assumptions:

• Hours: Reena = 14, Reema = 16, Meera = 22.
• Total rent = ₹2080.
• Cost split ∝ hours used (uniform hourly rate).

Concept / Approach:
Compute total hours and then Meera’s fraction = Meera’s hours / total hours. Multiply this fraction by the total rent to get her payment.

Step-by-Step Solution:
Total hours = 14 + 16 + 22 = 52Meera’s fraction = 22 / 52Meera’s share = 2080 * (22 / 52)Simplify: 22/52 = 11/26; 2080/26 = 80; 80*11 = ₹880

Verification / Alternative check:
Rate per hour = 2080 / 52 = ₹40. Meera’s cost = 22 * 40 = ₹880, same result.

Why Other Options Are Wrong:
₹1280, ₹1040, and ₹960 imply wrong hour totals or non-proportional splitting. ₹820 does not match any sensible round calculation at ₹40 per hour.

Common Pitfalls:
Splitting rent equally or proportionate to number of people instead of actual hours. Always use the agreed metric (hours).

Final Answer:
₹880