Discount Calculator — How to Find Original Price and Sale Price

Introduction

Discount calculations are something everyone needs — whether you’re a student solving math problems, a shopper verifying a sale, or a retailer pricing products. Understanding how discounts work helps you make better purchasing decisions and verify that “50% off” actually means what it says.

This guide covers three core discount calculations with clear formulas and practical examples using Indian rupee pricing.

Three Types of Discount Calculations

Type 1: Find Sale Price from Original Price + Discount %

Question: “Original price is ₹2,000. Discount is 30%. What is the sale price?”

Formula:

• Discount Amount = (Discount % / 100) × Original Price
• Sale Price = Original Price − Discount Amount

Example:

• Discount Amount = (30/100) × 2000 = ₹600
• Sale Price = 2000 − 600 = ₹1,400

Type 2: Find Discount Percentage from Two Prices

Question: “Original price ₹1,500, sale price ₹1,050. What’s the discount %?”

Formula:

• Discount % = ((Original − Sale) / Original) × 100

Example:

• Discount % = ((1500 − 1050) / 1500) × 100
• = (450 / 1500) × 100 = 30%

Type 3: Find Original Price from Sale Price + Discount %

Question: “Sale price is ₹700 after 30% off. What was the original price?”

Formula:

• Original Price = Sale Price / (1 − Discount%/100)

Example:

• Original Price = 700 / (1 − 0.30)
• = 700 / 0.70 = ₹1,000

Multiple (Successive) Discounts

Sometimes stores offer discounts like “40% + 20% off.” This does NOT mean 60% off. Each discount applies to the already-reduced price.

Example: ₹1,000 with 40% + 20% successive discounts

Step 1: After 40% off: 1000 − 400 = ₹600 Step 2: After 20% off on ₹600: 600 − 120 = ₹480

Effective single discount: ((1000 − 480) / 1000) × 100 = 52% (not 60%)

Formula for Successive Discounts

Effective Discount % = a + b − (a×b/100)

Where a and b are the two discount percentages.

Example: 40 + 20 − (40×20/100) = 60 − 8 = 52%

Markup and Profit Margin

Retailers also need to calculate markup:

Markup % = ((Selling Price − Cost Price) / Cost Price) × 100

Example: Cost ₹800, selling at ₹1,200 Markup = ((1200 − 800) / 800) × 100 = 50%

If this retailer offers 25% discount: Sale price = 1200 − 300 = ₹900 Still profitable: ₹900 − ₹800 = ₹100 profit per item

Common Mistakes

1. Adding successive discounts directly — 30% + 20% ≠ 50% off
2. Finding original from sale by adding discount amount to sale price — You must divide, not add
3. Ignoring GST — Indian MRP includes the sale price; GST is calculated on the discounted price
4. Comparing absolute discounts instead of percentages — ₹500 off on ₹5,000 (10%) is worse than ₹300 off on ₹1,000 (30%) in relative terms
5. Assuming “up to 60% off” applies to everything — Stores often apply maximum discounts only to select items

Tips for Smart Shopping in India

• Always verify MRP vs selling price on the tag
• Calculate per-unit cost for combo offers
• Compare discount percentage, not just the rupee amount saved
• Check if discount applies before or after GST
• Use the calculator below to quickly verify sale pricing

Try It Online

Use the free Discount Calculator on Numverto to calculate sale price, discount percentage, or original price instantly. Also check the Percentage Calculator for general percent calculations. Both tools use Indian rupee formatting and require no signup.

Frequently Asked Questions

How do I calculate 25% off of ₹3,600?

Discount = (25/100) × 3600 = ₹900. Sale price = 3600 − 900 = ₹2,700.

What is the original price if sale price is ₹840 after 40% discount?

Original = 840 / (1 − 0.40) = 840 / 0.60 = ₹1,400.

Is “Buy 1 Get 1 Free” equal to 50% off?

Effectively yes for the same product — you pay for 1 and get 2, so each costs 50% of the original. However, the store may require you to buy a specific quantity, which is different from a straight 50% discount on a single item.

How do successive discounts of 20% and 10% compare to a single 30%?

20% + 10% successive: effective = 20 + 10 − (20×10/100) = 28%. This is less than a straight 30% discount. Successive discounts always result in a lower effective discount than the sum.

Does discount apply on MRP or on the price excluding GST?

In Indian retail, the MRP is the maximum price inclusive of taxes. Discounts are typically applied on MRP. GST on discounted goods is calculated on the actual transaction value (discounted price), not on MRP.