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Comparing Quantities

    Finding Discounts

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8th class > Comparing Quantities > Finding Discounts

Finding Discounts

Discount is a given on the Marked Price (MP) of the article.

This is generally given to attract customers to buy goods or to promote sales of the goods. You can find the discount by subtracting its sale price from its marked price.

So,

Discount = Marked price – Sale price

Example 2: An item marked at ₹ 840 is sold for ₹714. What is the discount and discount % ?

Discount = Marked Price – Sale Price

  • We have the given values: Marked price: ₹ and Selling Price: ₹
  • Since discount is on marked price, we will have to use marked price as the base.
  • On marked price of ₹ 840, the discount is ₹ .
  • Now, using the discount percentage formula: we get discount % of
  • Calculating discount.
  • We have found the required values.

Example 3: The list price of a frock is ₹ 220. A discount of 20% is announced on sales. What is the amount of discount on it and its sale price.

Discount = Marked Price - sale price

  • Marked price is same as the list price.
  • 20% discount means that on ₹ 100 (MP), the discount is ₹ .
  • On 220, discount = (20/100) × 220 = ₹
  • Sale price = ₹ 220 – ₹ 44 = ₹
  • We have found the sale price.

TRY THESE

Q1

1.A shop gives 20% discount. What would the sale price of each of these be?

(a) A dress marked at Rs. 120

(b) A pair of shoes marked at Rs. 750

(c) A bag marked at Rs. 250

To find the sale price after a 20% discount, we can use the formula:

Sale Price = Marked Price × ( 1 − )

Where the discount is 20%.

(a) A dress marked at Rs. 120

Sale Price = × (1 − )

Sale Price = 120 ×

Sale Price =

So, the sale price of the dress is Rs. 96.

(b) A pair of shoes marked at Rs. 750

Sale Price = × (1 − )

Sale Price = 750 ×

Sale Price =

So, the sale price of the shoes is Rs. 600.

(c) A bag marked at Rs. 250

Sale Price = × (1 − )

Sale Price = 250 ×

Sale Price =

So, the sale price of the bag is Rs. 200.

Q2

2.A table marked at Rs. 15,000 is available for Rs. 14,400. Find the discount given and the discount per cent.

The discount is the difference between the marked price and the selling price:

Discount = Marked Price − Selling Price

Here: Marked Price = Rs. while Selling Price = Rs.

Discount = 15000 − 14400 =

So, the discount given is Rs. 600.

The discount percentage is calculated as:

Discount % = × = × = %

So, the discount percentage is 4 %.

Q3

3.An almirah is sold at Rs. 5,225 after allowing a discount of 5 %. Find its marked price.

To find the marked price of the almirah, we can use the formula that relates the selling price, discount percentage, and marked price:

Selling Price = ×

Here: Selling Price = Rs. while Discount = %

Let the marked price be M.

Thus, 5225 = M × 1−5100

5225 = M × i.e. M = =

So, the marked price of the almirah is Rs. 5,500.

Estimation in percentages

Your bill in a shop is ₹ 577.80 and the shopkeeper gives a discount of 15%. How would you estimate the amount to be paid ?

Instructions

Round off the bill to the nearest tens of ₹ 577.80, i.e., to ₹ .
Find 10% of this i.e., ₹ × 580 = ₹ .
Take half of this, i.e., 12 × 58 = ₹
Add the amounts in (ii) and (iii) to get ₹ .

You could therefore reduce your bill amount by ₹ 87 or by about ₹ 85, which will be ₹ approximately.

Instructions

Try estimating 20% of the same bill amount.

Finding 20% of ₹577.80: × 577.80 =
Subtracting the discount from the bill: Amount tot be paid = 577.80 - 115.56 =
Thus, the amount to be paid becomes ₹ 462.24.

Try finding 15% of ₹ 375.

Finding 15% of ₹ 375: 15% of 375 = × =
So, 15% of ₹375 is ₹56.25.