Module 1 · Arithmetic
Chapter 2: Profit, Loss & Discount
Arithmetic
6 topics
What this chapter covers
The 6 topics below make up Profit, Loss & Discount on the CAT. Click any topic to open its notes, examples and practice test.
1Cost, Selling & Marked Price
2Profit & Loss %
3Discount & Successive Discount
4Equivalent Discount
5False Weights
6Partnership in Trade
Study material & tests
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Notes, worked examples and hint-guided practice for every topic.
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🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
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Formula Reference Sheet
This chapter
Price, profit and loss
| Profit | SP − CP (when SP > CP) |
|---|---|
| Loss | CP − SP (when CP > SP) |
| Profit % | (SP − CP)/CP × 100 |
| Loss % | (CP − SP)/CP × 100 |
| SP from CP | SP = CP × (1 + profit%/100) |
| CP from SP | CP = SP ÷ (1 ± profit/loss%/100) |
Marked price and discount
| Discount | MP − SP |
|---|---|
| Discount % | (MP − SP)/MP × 100 |
| SP from MP | SP = MP × (1 − discount%/100) |
| Successive discounts d1, d2 | net = d1 + d2 − d1·d2/100 (%) |
| False-weight gain % | error/(true − error) × 100 |
| Partnership profit split | ratio of (capital × time) |
CAT reference
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