Profit and Loss — If the cost price of 23 toys equals the selling price of 20 toys, find the overall gain or loss percentage.

Difficulty: Easy

Correct Answer: 15%

Explanation:


Introduction / Context:
Equal-value relations across different counts enable direct computation of the SP/CP ratio per unit, from which profit or loss% follows straightforwardly.


Given Data / Assumptions:

  • 23 * CP_unit = 20 * SP_unit


Concept / Approach:
SP_unit / CP_unit = 23/20 = 1.15 ⇒ SP is 15% higher than CP ⇒ profit = 15%.


Step-by-Step Solution:

SP_unit = (23/20) * CP_unitProfit% = (1.15 − 1) * 100 = 15%


Verification / Alternative check:
Take CP_unit = ₹ 100 ⇒ 23 toys cost ₹ 2300. If SP_unit = ₹ 115 ⇒ 20 toys sell for ₹ 2300. Ratio holds, profit% = 15%.


Why Other Options Are Wrong:
12%, 12.5%, 14%, and 10% fail to match the exact ratio 23/20 = 1.15.


Common Pitfalls:
Using (23 − 20) as a percent directly without relating it to the correct base (CP).


Final Answer:
15%

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