Grade 8 Discount and Commission

Interactive step-by-step solver for understanding discount and commission calculations.

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Step-by-Step Learning

Learn about discount and commission through these examples with detailed step-by-step explanations.

Example 1: Calculating Discount and Selling Price

A shop offers a 15% discount on a shirt marked at ₹800. Find the discount amount and the selling price.

Step 1: Identify the Marked Price (MP) and the Discount Percentage.
MP = ₹800
Discount Percentage = 15%
Step 2: Calculate the Discount Amount.
Discount Amount = Discount Percentage of MP
Discount Amount = 15% of ₹800
Discount Amount = $\frac{15}{100} \times 800$
Discount Amount = $15 \times 8$
Discount Amount = ₹120
Step 3: Calculate the Selling Price (SP).
Selling Price = Marked Price - Discount Amount
SP = ₹800 - ₹120
SP = ₹680
Step 4: The discount amount is ₹120 and the selling price is ₹680.
MP: ₹800 Discount: 15% ₹800 (MP) ₹120 Discount ₹680 (SP)

Example 2: Calculating Discount Percentage

A jacket marked at ₹2500 is sold for ₹2000. Find the rate of discount.

Step 1: Identify the Marked Price (MP) and the Selling Price (SP).
MP = ₹2500
SP = ₹2000
Step 2: Calculate the Discount Amount.
Discount Amount = Marked Price - Selling Price
Discount Amount = ₹2500 - ₹2000
Discount Amount = ₹500
Step 3: Calculate the Discount Percentage.
Discount Percentage = $\frac{\text{Discount Amount}}{\text{Marked Price}} \times 100$
Discount Percentage = $\frac{500}{2500} \times 100$
Discount Percentage = $\frac{5}{25} \times 100$
Discount Percentage = $\frac{1}{5} \times 100$
Discount Percentage = 20%
Step 4: The rate of discount is 20%.
MP: ₹2500, SP: ₹2000 Discount = MP - SP Discount = ₹2500 - ₹2000 = ₹500 Discount % = (Discount / MP) * 100 Discount % = (500 / 2500) * 100 = 20%

Example 3: Calculating Commission Amount

An agent sells goods worth ₹50,000 and gets a commission of 4%. Find the commission amount.

Step 1: Identify the total sales amount and the commission rate.
Total Sales = ₹50,000
Commission Rate = 4%
Step 2: Calculate the Commission Amount.
Commission Amount = Commission Rate of Total Sales
Commission Amount = 4% of ₹50,000
Commission Amount = $\frac{4}{100} \times 50000$
Commission Amount = $4 \times 500$
Commission Amount = ₹2000
Step 3: The commission amount is ₹2000.
Total Sales: ₹50,000 Commission Rate: 4% Commission = 4% of ₹50,000 Commission = (4/100) * 50000 = ₹2000

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Enter a simple discount or commission problem.

Note: This basic solver can calculate discount amount, selling price, discount percentage, or commission amount. Use formats like "discount on 800 at 15%", "selling price after discount 800 at 15%", "discount percentage if MP is 2500 and SP is 2000", "commission on sales 50000 at 4%".