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Mathematics Profit, loss and commission
Class 7 Intermediate About 15 min Premium

Profit, loss and commission: selling oranges

A farmer sells a crate of oranges through a dealer: set the cost, the selling price and the dealer's commission, and see the profit or loss.

Core concept

Profit or loss = SP − CP, and its percentage is worked out on the cost price; commission is a percentage of the selling price

Topic: Profit, loss and commission

A farmer in Dhankuta grows oranges. Producing one crate costs Rs 800: that is the cost price (CP). The crate is sold for Rs 1,000: the selling price (SP). The profit is SP − CP = Rs 200, and the profit percentage is always found on the cost price: 200 ÷ 800 × 100 = 25%. If the crate sells for less than it cost, there is a loss. The farmer sells through a dealer, who keeps a commission, a percentage of the selling price, so the farmer's real gain is smaller.

Key words explained

What you will learn

  • Find profit or loss and their percentages from CP and SP.
  • Calculate commission as a percentage of the selling price.
  • Explain how commission changes the seller's real gain.

Before you start

  • Percentages of an amount.

Materials

  • A price list from a local market

Equipment

  • A calculator

Procedure

  1. Tap − or + to change the cost price, the selling price and the commission.
  2. Read the bars: the gap between CP and SP is the profit or loss.
  3. Record a 25% profit, a 10% loss and a sale with no profit and no loss.
  4. Find a sale that makes a profit before commission but a loss after it.

How this simulation is simplified

  • Commission is paid on the selling price.
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