Loss percent from CP–SP relation across counts If the cost of 15 tables equals the selling price of 20 identical tables, what is the loss percentage?

Introduction / Context:
This question compares total cost and total selling price for different counts of the same item. The ratio of SP to CP per unit reveals profit or loss percentage.

Given Data / Assumptions:

• 15 × CP = 20 × SP for identical tables.
• Find loss % (if any).

Concept / Approach:
From 15C = 20S ⇒ S/C = 15/20 = 3/4. Since S < C, there is a loss. Loss % = (C - S)/C × 100 = (1 - S/C) × 100.

Step-by-Step Solution:
S/C = 3/4 = 0.75.Loss % = (1 - 0.75) × 100 = 25%.

Verification / Alternative check:
Assume CP = 100 ⇒ SP = 75 (from ratio). Loss = 25 on 100 ⇒ 25% (matches).

Why Other Options Are Wrong:
20% and 30% are off; 37.5% would correspond to S/C = 0.625, which is not implied.

Common Pitfalls:
Inverting the ratio or assuming profit instead of loss. Always check whether SP is less than CP.

Final Answer:
25%