Jagmohan, Rooplal, and Pandeyji rent a video cassette for one week for ₹ 350. They use it for 6 hours, 10 hours, and 12 hours, respectively. If rent is split in proportion to usage time, how much should Pandeyji pay?

Introduction / Context:
When a shared rental cost is divided by usage, each person pays in direct proportion to the hours used. Total cost times the person's fraction of total hours gives the correct split.

Given Data / Assumptions:

• Total rent = ₹ 350.
• Usage hours: Jagmohan 6, Rooplal 10, Pandeyji 12.
• Cost split proportional to hours.

Concept / Approach:
Compute total hours, find Pandeyji's fraction, then multiply by total rent.

Step-by-Step Solution:
Total hours = 6 + 10 + 12 = 28 hours. Pandeyji's fraction = 12/28 = 3/7. Pandeyji's share = (3/7) * 350 = ₹ 150.

Verification / Alternative check:
The other two shares: Jagmohan = (6/28)*350 = ₹ 75; Rooplal = (10/28)*350 = ₹ 125. Sum = 75 + 125 + 150 = ₹ 350.

Why Other Options Are Wrong:
₹ 75 and ₹ 125 correspond to the other users. ₹ 135 and ₹ 120 do not match proportional division with 12/28.

Common Pitfalls:
Dividing equally or using the inverse of hours. The proportional method must match actual usage.

Final Answer:
₹ 150