Profit & Loss
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Formulas & 30-Second Shortcut Tricks
Formulas
- Profit = SP − CP; Profit % = Profit/CP × 100
- SP = CP × (100 + P%)/100; SP = CP × (100 − L%)/100
- Marked price with discount d%: SP = MP × (100 − d)/100
- Successive x% and y%: net = x + y + xy/100
Shortcuts
- Profit/loss % is always on CP, discount % is always on MP.
- Same SP, x% gain on one and x% loss on other ⇒ always a loss of x²/100 %.
Practice problems
An article bought for ₹400 is sold at a profit of 20%. Find the selling price (₹).
A shopkeeper buys a fan for ₹500 and sells it for ₹625. What is the profit percentage?
Two phones are sold at the same price; one at 20% gain and the other at 20% loss. What is the overall result?
An article bought for ₹400 is sold at a profit of 25%. Find the selling price (₹).
A shopkeeper buys a fan for ₹1000 and sells it for ₹1150. What is the profit percentage?
Two phones are sold at the same price; one at 20% gain and the other at 20% loss. What is the overall result?
An article bought for ₹1200 is sold at a profit of 20%. Find the selling price (₹).
A shopkeeper buys a fan for ₹1000 and sells it for ₹1150. What is the profit percentage?
Two phones are sold at the same price; one at 20% gain and the other at 20% loss. What is the overall result?
An article bought for ₹1500 is sold at a profit of 30%. Find the selling price (₹).
Profit & Loss Speed Test
1 minute per question. Use the palette to jump around; you'll see time spent on every question at the end.