Percent Off Calculator

Enter the original and sale price to see the percent off, amount saved, and final price for any discount scenario.

Price Information

Discount Results

Percent Off 0
Amount Saved 0.00
Original Price 0.00
Final Price 0.00

Percent Off: Discounts, Savings, and Final Prices Explained

“Percent off” expresses how much of the original price is removed as a discount and helps you quickly see savings and final cost.

This guide follows the same structure as your other calculators, with clear boxes, examples, tables, pitfalls, and practice problems focused on percent-off discounts.

What Does Percent Off Mean?

When a store says “30% off”, it means you pay the original price minus 30% of that price as a discount.

Key relationships
  • Original price (O): Price before discount.
  • Discount rate (d%): Percent off.
  • Amount saved (S): Money reduced from the original price.
  • Final price (F): What you actually pay after discount.
Symbol Meaning Example
O Original price ₹1,000
d Discount percent 20%
S Amount saved ₹200
F Final price ₹800
Quick idea:
“20% off ₹1000” means save 20/100 × 1000 = ₹200 and pay 1000 − 200 = ₹800.

Percent Off Formulas

All discount problems connect original price, discount rate, amount saved, and final price using simple percentage formulas.

Main formulas

Amount saved: S = (d/100) × O
Final price: F = O − S = O × (1 − d/100)

Example 1: 25% off
O = ₹1,200, d = 25%.
S = 0.25 × 1200 = ₹300.
F = 1200 − 300 = ₹900.
Example 2: Reverse – find percent off
O = ₹800, F = ₹600.
S = 800 − 600 = ₹200.
d = (S / O) × 100 = 200/800 × 100 = 25%.
Given Find Formula
O, d F F = O × (1 − d/100)
O, F d d = (O − F)/O × 100
d, F O O = F ÷ (1 − d/100)
O, d S S = (d/100) × O

Worked Discount Examples

These examples show how to calculate savings and final prices, and you can verify each one using the calculator above.

Example 1: Single discount

A jacket costs ₹2,000 and is on sale for 30% off. Find the amount saved and final price.

Solution:
S = 0.30 × 2000 = ₹600.

F = 2000 − 600 = ₹1,400.

Answer: Save ₹600, pay ₹1,400.
Example 2: Given sale price

Original price is ₹1,500. During a sale, it is sold for ₹1,125. What percent off is this?

Solution:
S = 1500 − 1125 = ₹375.

d = 375 / 1500 × 100 = 25%.

Answer: 25% off.
Example 3: Find original from discount

A pair of shoes is advertised as “40% off” and the sale price is ₹1,200. What is the original price?

Solution:
F = O × (1 − 0.40) = O × 0.60.

O = 1200 ÷ 0.60 = ₹2,000.

Answer: Original price is ₹2,000.

Real-World Uses of Percent Off

Percent-off discounts appear in shopping, budgeting, marketing, and financial planning.

🛒 Retail Sales

Stores use “percent off” to advertise clearances, seasonal sales, and promotional offers on products.

📉 Coupon and Promo Codes

Online coupons often apply a percent-off discount on cart totals or specific categories.

📊 Budgeting and Saving

Comparing percent-off deals helps choose the best offer and estimate how much total money will be saved.

📦 Bulk and Membership Deals

Membership programs and bulk purchases often promise a fixed percent off compared to regular pricing.

🏷 Pricing Strategy

Businesses plan sales events using target percent-off values to attract customers while maintaining profit margins.

💻 E‑commerce Checkout

Online carts show original price, discount, percent off, and final total to make savings clear to users.

Common Percent Off Mistakes

Misreading discounts or mixing up original and sale prices can easily lead to wrong conclusions about savings.

❌ MISTAKE 1: Using sale price as the base
Calculating percent off using sale price in the denominator instead of original price gives the wrong percentage.
✅ Always divide savings by original price when finding percent off.
❌ MISTAKE 2: Forgetting that “percent off” is a decrease
Treating “30% off” as “pay 30% of the price” instead of “pay 70% of the price” leads to very low prices.
✅ Pay (100 − d)% of the original amount when discount is d%.
❌ MISTAKE 3: Double discounts confusion
Two sequential discounts (like 20% off, then extra 10% off) are not equal to a single 30% discount.
✅ Apply each discount step-by-step on the new price, not on the original.
❌ MISTAKE 4: Negative or zero prices
Entering zero or negative original prices makes discount calculations meaningless.
✅ Ensure original price is positive; sale price should be between 0 and the original price.

Practice Problems with Solutions

Use these practice problems and then verify the answers using the Percent Off Calculator above.

Basic Level
Problem 1: A T‑shirt originally costs ₹500 and is on 20% off. What is the sale price?
Show Solution

S = 0.20 × 500 = ₹100; F = 500 − 100 = ₹400.

Problem 2: A book is on sale for ₹270 after a 10% discount. What was the original price?
Show Solution

F = O × 0.90 ⇒ O = 270 ÷ 0.90 = ₹300.

Intermediate Level
Problem 3: Original price is ₹2,400 and sale price is ₹1,800. What percent off is given?
Show Solution

S = 2400 − 1800 = ₹600; d = 600/2400 × 100 = 25%.

Problem 4: An item is discounted by 35% and the sale price is ₹1,300. Find the original price and amount saved.
Show Solution

F = O × (1 − 0.35) = O × 0.65.
O = 1300 ÷ 0.65 = ₹2,000; S = 2000 − 1300 = ₹700.

Advanced Level
Problem 5: A store advertises “20% off, plus an extra 10% off the sale price”. If the original price is ₹1,000, what is the final price and overall percent discount from the original price?
Show Solution

First discount: 20% off → pay 80% → 0.80 × 1000 = ₹800.
Second discount: 10% off 800 → pay 90% → 0.90 × 800 = ₹720.
Overall discount = 1000 − 720 = ₹280; % off = 280/1000 × 100 = 28% (not 30%).

Problem 6: After a discount, a gadget costs ₹5,400. The discount rate was 40%. Without directly computing original price first, find the amount saved.
Show Solution

Pay 60% of original, so 0.60O = 5400 → O = 5400 ÷ 0.60 = ₹9,000.
Savings S = 9000 − 5400 = ₹3,600.