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Profit & Loss

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1. Base Formulas (The Foundation)

If you Gained

$$ \text{Profit \%} = \frac{SP - CP}{CP} \times 100 $$

If you Lost

$$ \text{Loss \%} = \frac{CP - SP}{CP} \times 100 $$
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2. False Weight Trick

The Cheat Formula

$$ \text{Profit \%} = \left( \frac{\text{Extra Gain}}{\text{Actual Given}} \right) \times 100 $$
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3. The "Assume CP = 100" Hack

When a question only gives you percentages (e.g., "A profit of 20% is made..."), stop using "x". Assume the Cost Price is 100. It makes the math incredibly easy and saves about 30–40 seconds per question.

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4. Successive Discount Shortcut

Don't calculate discounts one by one. Use the effective discount formula:

$$ \text{Effective Discount} = a + b - \frac{ab}{100} $$

Example: 10% and 20% off β†’ 10 + 20 - 2 = 28% total discount.

🌟 Topper's Mindset

1

If Profit % = Discount %, use the square rule to find MP quickly.

2

Always check if "Cost Price is an Integer"β€”it helps eliminate 2–3 options immediately.

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