Profit and Loss — A calculator is bought for ₹ 350 and sold at a gain of 15%. Compute the Selling Price (SP) of the calculator, showing the direct percentage-increase step on CP.

Difficulty: Easy

Correct Answer: ₹ 402.50

Explanation:

Introduction / Context: This is a direct percentage-increase application: when an article is sold at a stated profit, SP is CP increased by that percentage. It assesses speed and accuracy with simple percent calculations.

Given Data / Assumptions:

  • CP = ₹ 350
  • Gain% = 15%

Concept / Approach: For a profit of p%, SP = (1 + p/100) * CP. Substitute CP and p to find SP in one step.

Step-by-Step Solution:

SP = 1.15 * 350Compute: 350 * 1.15 = 402.50Thus SP = ₹ 402.50

Verification / Alternative check: Profit amount = 402.50 − 350 = ₹ 52.50. Check percent: 52.50/350 * 100 = 15%, which matches exactly.

Why Other Options Are Wrong: ₹ 358 and ₹ 375 reflect smaller increases (≤ 7.14%). ₹ 472 and ₹ 415 overshoot the required 15% increase on ₹ 350.

Common Pitfalls: Adding 15% of a wrong base (e.g., on an incorrect CP) or rounding too early. Always compute on the given CP.

Final Answer: ₹ 402.50

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