Chapter 5 · ICSE Class 5 Math

Profit and Loss

When something is bought and sold, the difference between what it cost and what it sold for is either a profit or a loss. Drag the sliders and watch it flip between the two.

The Shopkeeper's Scale
Profit
₹20 (10%)
CP
SP
₹200
₹220

Try it: set Selling Price lower than Cost Price to see a loss.

A flow diagram showing cost price, selling price, and the resulting profit A shopkeeper buys an item for a cost price, sells it for a higher selling price, and the difference between them is the profit Cost Price ₹200 → Selling Price ₹250 = Profit ₹50 Selling Price − Cost Price = Profit
5.1

Cost Price and Selling Price

The Cost Price (CP) is what a shopkeeper pays to buy or make something. The Selling Price (SP) is what it's sold for to a customer. If SP is more than CP, the shopkeeper makes a profit. If SP is less than CP, the shopkeeper makes a loss.

Everyday example — A shopkeeper buys a toy for ₹150 (CP) and sells it for ₹180 (SP). Since SP > CP, that's a profit of ₹30. Try setting the Shopkeeper's Scale above to CP = 150, SP = 180.
5.2

Profit and loss formulas

Profit
SP − CP

Only when SP is more than CP.

Loss
CP − SP

Only when CP is more than SP.

No Profit, No Loss
SP = CP

The item is sold for exactly what it cost.

5.3

Profit % and Loss %

1Profit percentage

Profit % = (Profit ÷ CP) × 100. A toy costs ₹150 and sells for ₹180 — profit is ₹30.

Profit % = (30 ÷ 150) × 100 = 20%

2Loss percentage

Loss % = (Loss ÷ CP) × 100. A book costs ₹80 and sells for ₹68 — loss is ₹12.

Loss % = (12 ÷ 80) × 100 = 15%

5.4

Worked examples

1Finding SP from CP and profit %

A pen costs ₹40. It is sold at a 25% profit. Find the Selling Price.

Profit = 25% of 40 = 10, so SP = 40 + 10 = ₹50

2Finding CP from SP and loss %

A bag is sold for ₹90 at a 10% loss. Find the Cost Price.

If SP is 90% of CP, then CP = 90 ÷ 0.9, so CP = ₹100

Watch out — Profit % and Loss % are always calculated on the Cost Price (CP), never on the Selling Price. Mixing this up gives the wrong answer.
Practice

Exercises

Tap a question to reveal its answer once you've tried it yourself.

Assess

Sample tests

Two 20-mark, 30-minute tests. Reveal answers question by question.