 Do you want to determine discount on the marked price and stuck at some point? This is why we have curated the worksheet on calculating discounts on marked prices to help you understand the concept better. Practice using the Finding Discount on Marked Price Worksheet with Answers and get an idea of various models of questions framed on the topic.

6th Grade Math Students can excel in academic examinations by making the most out of these practice sheets on discounts. Download the Handy Printable Math Discount Worksheet PDF for free and practice whenever you want.

Finding Discount on Marked Price Worksheet

I. Find a single discount equivalent to two successive discounts of 10% and 15% on an article?

Solution:

Let the listed price of an article be Rs 100.
Then, first discount on it = 10%
Price after the 1st discount = Rs 100 × 90/100= Rs.90
2nd discount on the updated price i.e. = 15% of Rs.90
= Rs 90 × 85/100=76.5
Thus, Price after 2nd discount = Rs. 76.5
Net selling price = 76.5
Single discount equivalent to offered successive discounts = (100 – 76.5) % = 23.5%.

II. A Retailer buys an article for Rs 2000. He increases its price by 20% and then gives a 10% discount on the new price.
(i) Find the new price (marked price) of the article.
(ii) Find the discount given by the retailer.
(iii) Find the selling price.
(iv) Find the profit percent made by the retailer.

Solution:

Given,
Cost Price of the article=Rs 2000
Increase in Price=20%
i) Marked Price= C.P × (100 + increase%)/100
=2000 × ( 100 + 20)/100
=2000 ×(120)/100
=Rs 2400
ii) Rate of Discount=10%
Discount=2400 × 10/100
=Rs 240
iii) Selling Price=MarkedPrice – Discount
=2400 – 240
=Rs 2160
IV) Profit Percent made by the Retailer=Selling Price – Cost Price
=Rs 2160 – Rs 2000
=Rs 160
Profit Percent= Profit/C.P ×100
=160/2000 × 100
=8

III. A dealer buys a Grinder for Rs 5000. He marks it at Rs 6000 and then gives a discount of 10% on it.
(i) Find the selling price of the Grinder.
(ii) Find the profit percent made by the dealer.

Solution:

Given,
The cost price of Grinder is = Rs 5000
The marked price of the Grinder is = Rs 6000
Rate of discount = 10%
Total discount is given by 10% of 6000.
D=10/100 × 6000
=Rs 600
i) The selling price is given by,
SP = Marked Price – Discount
SP = Rs 6000 – Rs 600
SP = Rs. 5400
ii) The profit percentage is given by,
Gain = S.P – C.P
Gain = Rs 5400 – Rs 5000
Gain = Rs 400
We know that the Gain percent formula is
G%=G/CP ×100
=400/5000 ×100
=8%
Therefore, the selling price of the grinder is Rs 5400 and the profit percent is 8%.

IV. A bike is marked at Rs 60,000. The dealer gives a 5% discount on the first Rs 20000 and a 3% discount on the remaining Rs 40,000.
(i) Find the total discount.
(ii) Find the price changed by the dealer.

Solution:

Given, marked price of the bike = Rs 60,000
Discount given by the dealer on Rs 20,000
= 5 % of 20,000
= 5 / 100 × 20, 000
= 5 × 200 = Rs 1000
= Rs 1000
Remaining money = 60,000 – 20,000
= Rs 40, 000
Discount given by dealer on Rs 40,000
= 3 % of 40, 000
= 3 /100 × 40, 000
= Rs 1200
Total discount= discount given by dear on Rs 20,000 + discount given by dealer on Rs 30,000
= Rs 1000 + Rs 1200 = Rs 2200
Therefore, the total discount given by the dealer is Rs 2200.

V. A pair of shoes, marked at 800, are sold at a discount of 15 percent. Find the discount?

Solution:

Given,
Marked Price of shoes =Rs 800
Rate of discount =15%
Amount of discount =800×15/100=Rs 120
Therefore, the discount is Rs 120.

VI. Sanjay buys a sofa at a wholesale price of Rs 30,000. If the markup rate is 40%. Find the markup for the sofa?

Solution:

Given,
Markup Rate=40%
The markup for the Sofa=40/100 × 30,000
=12000
Therefore, the markup for the Sofa is Rs 12000.

VII. In a gift store, an item of Rs 400  is marked, “Save 25%.” What is the discount? What is the sale price of the item?

Solution:

Given,
An original Price of the item is=Rs 400
Discount=Rs 400 × 25/100
=Rs 100
Sale Price of the item=Rs 400 – Rs100
=Rs 300
Therefore, the discount is Rs 100, and the Sale Price of the item is Rs 300.

VIII. The marked price of the item is Rs.450. The shopkeeper allows a discount of 20% and gains 8%. If no discount is allowed, find his gain percent?

Solution:

Given,
The marked price of the item = Rs.450
Therefore, SP of a item = 450×(100−20/100)
= 450×80/100 = Rs.360
CP of a item = 360×100/100+8
= 360×100/108 = Rs 333
Profit when article is sold at MP
= 450 – 333 = Rs 117
Hence, profit per cent
= 117/333×100 = 35%
Therefore, the Profit Percentage is 35%.

IX. In an electronics store, a 30,000 iPod is labeled “save 10%”. What is the discount for iPod and what is the selling price of the iPod?

Solution:

Given,
An original Price of the iPod is=Rs 30,000
Discount=30,000 × 10/100
=Rs 3000
The selling price of the ipod=Rs 30,000 – Rs 3000
=Rs 27000
Hence, the discount is Rs 3000 and the Selling Price of the iPod is Rs 27000.

X. The price tag printed on a T-shirt showed Rs 350, but Ajay paid Rs 280 for it since there was a discount on it. Find the discount in percentage.

Solution:

Given,
list price = Rs 350 and selling price = Rs 280.
Therefore, discount = list price – selling price
= Rs 350 – Rs280
= Rs 70
Discount % = (Discount/List Price) × 100
= (70/350) × 100
= (1/5) × 100
= 100/5
= 20%
Hence, Ajay got a discount of 20%.