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Free Content10 MCQs
Imagine you see a cool new toy in a shop, and its price tag says ₹200. But wait! The shopkeeper says, 'Today, you get a special offer! Pay only ₹180.' That extra money you saved, ₹20, is called a discount. It's like a little present from the shop that makes things cheaper for you. Learning about discounts helps you understand how much you're actually saving when you buy things on sale!
When you know the Marked Price (MP) and the Discount Percentage (D%), you can quickly find the Selling Price (SP). Just think about what percentage of the MP you are actually paying. If there's a 10% discount, you pay 90% of the MP. If 20% off, you pay 80%.
If a shop gives you two discounts one after another (like 10% then 20%), don't add them! That's a trap. Use this simple rule to find the single total discount (equivalent discount). It's always less than the sum of individual discounts because the second discount is on a smaller price.
This trick helps you connect Marked Price (MP), Cost Price (CP), Profit Percentage (P%), and Discount Percentage (D%). It saves a lot of time in complex problems. Remember, MP is related to CP through both profit and discount. It's like a bridge!
If you know the Selling Price (SP) after a discount and the Discount Percentage, you can quickly find the Marked Price (MP). Just think: if you paid 80% of the MP, and that 80% is a certain amount, what was the full 100%?
Many shops offer 'Buy 3 Get 1 Free' deals. This is also a discount! To find the discount percentage, think about how many items you get for free out of the total items you take home. The discount is always based on the marked price of the free items out of total items.
When you go shopping, sometimes things have a price tag, but the shopkeeper sells them to you for less. The amount of money that is reduced from the original price is called a discount. Shops give discounts to attract more customers or to clear old stock.
The Marked Price (or List Price) is the price that is written on the item's tag or listed in a catalogue. It's the price the seller ideally wants to sell the item for. Think of it as the 'full price' before any offers.
The Selling Price is the actual price at which the item is sold to the customer after any discount has been applied. It's the money you actually pay at the counter.
For example, if a book has a Marked Price of ₹300 and the shop offers a ₹30 discount, then you pay ₹300 - ₹30 = ₹270. So, the Selling Price is ₹270.
Often, discounts are given as a percentage. This tells you how much of the Marked Price is being reduced. To find the discount percentage, you first find the actual discount amount, and then see what percentage it is of the Marked Price.
Let's say a t-shirt costs ₹500 (MP) and is sold for ₹400 (SP). The discount is ₹500 - ₹400 = ₹100. The discount percentage would be (₹100 / ₹500) × 100 = 20%. So, you got a 20% discount.
Sometimes, a shop might offer more than one discount one after another. For example, '20% off, then an additional 10% off'. These are called successive discounts or compound discounts. It's important to remember that these discounts are applied one after the other, not added together. The second discount is calculated on the price after the first discount has been applied.
If a bag has an MP of ₹1000 and there's a 20% discount. Price becomes ₹1000 - 20% of ₹1000 = ₹1000 - ₹200 = ₹800. Now, if there's an additional 10% discount, it's applied on ₹800, not ₹1000. So, ₹800 - 10% of ₹800 = ₹800 - ₹80 = ₹720. The final selling price is ₹720. This is not the same as a single 30% discount (which would be ₹700).
Understanding these three terms is key. The Marked Price is the starting point. The discount reduces this price to reach the Selling Price. Always remember that discount calculations are based on the Marked Price, unlike profit/loss which are based on Cost Price.
Calculating Discount Amount
Discount = Marked Price - Selling PriceCalculating Discount Percentage
Discount % = (Discount Amount / Marked Price) × 100Selling Price with Discount %
Selling Price = Marked Price × (100 - Discount %) / 100Marked Price from Selling Price and Discount %
Marked Price = Selling Price × 100 / (100 - Discount %)Equivalent Single Discount for Two Successive Discounts
Equivalent Discount % = [A + B - (A × B / 100)]%| Discount % | Fraction Reduced | Multiplier for SP (1-Fraction) |
|---|---|---|
| 10% | 1/10 | 0.9 |
| 20% | 1/5 | 0.8 |
| 25% | 1/4 | 0.75 |
| 30% | 3/10 | 0.7 |
| 50% | 1/2 | 0.5 |
Q: A toy car has a marked price of ₹600. The shop offers a 15% discount. What is the selling price of the toy car?
Q: After a 20% discount, a school bag was sold for ₹800. What was the marked price of the school bag?
Q: A pair of shoes is marked at ₹1500. During a sale, it is sold for ₹1200. What is the discount percentage offered?
Q: A retailer offers two successive discounts of 20% and 10% on a smartwatch with a marked price of ₹5000. What is the final selling price and the single equivalent discount?
Your mom sees a big '30% OFF' sign on a packet of biscuits marked ₹80. How much money does she save, and how much does she pay?
A new phone is launched with a price tag of ₹25,000. For the first week, there's a special 10% launch discount. What's the price you'd pay?
A fancy jacket is marked at ₹4000. The store offers a 'Buy 1 Get 1 Free' deal, which is like a 50% discount on each item if you buy two. If you bought one, but the store also gave a 10% flat discount on single items, what would you pay?
You want to buy a gaming headset marked at ₹3500. There are two offers: (A) A flat 25% discount, or (B) Two successive discounts of 15% and 10%. Which offer gives you a better deal (more discount)?
A shopkeeper marks his goods 40% above the cost price and allows a discount of 25%. What is his profit or loss percentage?
A single discount equivalent to two successive discounts of 30% and 20% is:
A fan is listed at ₹1500, and a discount of 20% is offered on it. What additional discount must be offered to bring the net selling price to ₹1104?
A shopkeeper allows a 10% discount on his goods. For every 10 articles bought, he gives 2 articles free. If he still makes a profit of 20%, what is the ratio of Marked Price to Cost Price?
1A book is marked at ₹400 and sold for ₹360. What is the discount amount?
2If a shirt is marked at ₹800 and a 10% discount is given, what is the selling price?
3A product is sold for ₹450 after a 10% discount. What was its marked price?
4A shop offers 'Buy 2 Get 1 Free'. What is the effective discount percentage?
5Two successive discounts of 20% and 5% are equivalent to a single discount of:
6A dealer marks his goods 20% above the cost price and allows a discount of 10%. Find his profit percentage.
7What is the marked price of an article which is sold for ₹630 after a 25% discount?
8A shopkeeper allows a 15% discount on the marked price of an article. If the selling price is ₹2550, what is the discount amount?
9An item is marked up by 50% above its cost price. If a 20% discount is offered on it, what is the profit percentage?
10A jacket has a marked price of ₹2500. It is sold after a discount of 10% and then another discount of X%. If the final selling price is ₹2025, find the value of X.
When you know the Marked Price (MP) and the Discount Percentage (D%), you can quickly find the Selling Price (SP). Just think about what percentage of the MP you are actually paying. If there's a 10% discount, you pay 90% of the MP. If 20% off, you pay 80%.
If a shop gives you two discounts one after another (like 10% then 20%), don't add them! That's a trap. Use this simple rule to find the single total discount (equivalent discount). It's always less than the sum of individual discounts because the second discount is on a smaller price.
This trick helps you connect Marked Price (MP), Cost Price (CP), Profit Percentage (P%), and Discount Percentage (D%). It saves a lot of time in complex problems. Remember, MP is related to CP through both profit and discount. It's like a bridge!
If you know the Selling Price (SP) after a discount and the Discount Percentage, you can quickly find the Marked Price (MP). Just think: if you paid 80% of the MP, and that 80% is a certain amount, what was the full 100%?
Many shops offer 'Buy 3 Get 1 Free' deals. This is also a discount! To find the discount percentage, think about how many items you get for free out of the total items you take home. The discount is always based on the marked price of the free items out of total items.
Discount = Marked Price - Selling PriceDiscount % = (Discount Amount / Marked Price) × 100Selling Price = Marked Price × (100 - Discount %) / 100+2 more formulas below