Profit and Loss — The difference between SP at 6% profit and SP at 4% profit is ₹ 3 for the same article. Find the Cost Price (CP).

Introduction / Context: When CP is fixed, changing the profit% changes SP proportionally. The gap between the two SPs corresponds to the gap between the two percentages times CP.

Given Data / Assumptions:

• SP_6% − SP_4% = ₹ 3
• Both refer to the same CP

Concept / Approach: SP_p% = (1 + p/100) * CP. Therefore, SP_6% − SP_4% = (0.06 − 0.04) * CP = 0.02 * CP. Set equal to ₹ 3 and solve for CP.

Step-by-Step Solution:

Verification / Alternative check: SP_6% = 1.06 * 150 = 159; SP_4% = 1.04 * 150 = 156; difference = 3, as given.

Why Other Options Are Wrong: ₹ 100, ₹ 175, ₹ 200, and ₹ 250 do not satisfy the 0.02 * CP = 3 relation.

Common Pitfalls: Taking the 2% gap on SP rather than on CP; the percentages are always applied to CP unless otherwise specified.

Final Answer: ₹ 150