Certificates / Quantitative aptitude / Profit, Loss and Discount
Profit, Loss and Discount: lesson, then the certificate test
Step 1: the lesson (about 1 min)
Profit and loss per cent are on the COST price; discount per cent is on the MARKED price.
- Profit = selling price (SP) − cost price (CP); profit% = profit ÷ CP × 100.
- SP = CP × (100 + profit%) ÷ 100, or CP × (100 − loss%) ÷ 100.
- SP after discount = marked price × (100 − discount%) ÷ 100.
Worked example
An item marked ₹800 is sold at a 15% discount. It cost the shop ₹544. What is the profit per cent?
- SP = 800 × 85 ÷ 100 = 680
- Profit = 680 − 544 = 136
- 136 ÷ 544 × 100 = 25
Answer: 25% profit
Watch out
- Taking profit% on the selling price, or discount% on the cost price.
Made by Shishya (AI-assisted): a general method in our own words, with our own example; no exam or platform question is copied.
Step 2: the test
- 15 questions from Shishya's checked question bank, 20 minutes. Pass mark: 11 correct.
- Scored on Shishya's server; the answers are not shown afterwards, so the test stays fair. Each attempt draws new questions.
- Free. Your first test needs no account; sign up free to take more. Your answers and score are not stored; if you pass, you choose the name to print (ages 13 and up).
- It is a Shishya completion certificate — not a university or government credential. The test is not supervised.