Subject: Mathematics Time: 60 minutes
Topic: Profit, loss & discountGrade: VI
Resources:
·         Concrete Material for hands-on activities
·         Textbook
·         Worksheets
Methodology:

·         Demonstration
·         Lecture-based
·         Practice exercise

Objective

Students will be able to:

  •  Define Profit, Loss, and Discount
  • Define discount
  • Find the selling price and cost price
  • Profit percentage and loss percentage
  • Solve real-life problems involving discount

Procedure

The facilitator will discuss profit, loss, and discount and its applications by giving daily life examples, e.g: (i) Anees purchased a bicycle in Rs.4500 and sold it Rs.5000, he earned Rs.500 as profit(gain). E.g:(ii) If Anees sells bicycles in Rs.4000 then he will have a loss of Rs.500. E.g:(iii) On the same bicycle there is an offer ‘20% off’ then he could purchase it in Rs.3400 because 20% of 4500 is Rs.900 is discount. Ask participants to share their experiences.

Profit = Selling Price (SP) – Cost Price (CP)

Loss = Cost Price (CP) – Selling Price (SP)

Profit% = Profit / CP x 100% and Loss% = Loss / CP x 100%.

Facilitator will further extend the concept of profit percentage and loss percentage by using formulae:

Example 01. Saima Bibi bought a smartwatch for Rs.750 and sold it for Rs.875. Find profit percent.
Solution: 

CP = Rs.750 and SP = Rs.875.                     
Since SP > CP, she makes a profit (gain). 
Profit = Rs.875 – 750 = Rs.125

Profit% = Profit / CP  x 100% and Loss% = Loss/CP  x 100%.

Saima Bibi gains 16.6%.

Activity

1. Find gain or Loss percent when:

(a) Cost Price =Rs.350 & Selling Price = Rs.400 

The facilitator will share examples of discounts from daily life.  The core reason is that they use it as a ‘marketing technique’ to try and get more customers into the store and buying products. Normally discounts are offered on special occasions like Eid-offer, Winter-collection (seasonal changes), and somehow the introduction of new products/brands. Also, discuss the side effects of discounts to participants to increase their interest.

The formula for discount: Net price = Marked price – Discount

 Discount% = Discount / Marked price x 100   (15 min)

 Discount% = Discount / Marked price x 100   (15 min)

Activity                                                                                                                  

Facilitator will discuss further applications of discount.

Example:01 There is 40% discount on a certain product, marked price is Rs.300, what will be the net price or selling price of the product?

Solution:

Discount = 40% of 300

Discount =  x 300 = 120 Rupees

Now, Net price = Marked price – Discount

          Net price = 300 – 120 = 180 rupees

Therefore the net price of product will be Rs.180.

Example 02: A bicycle marked at Rs.1500 is sold for Rs.1350. What is the percentage of the discount?

Here, Marked price = Rs.1500, selling price = Rs.1350

Amount of discount = Marked Price – Selling Price

 Amount of discount = 1500 – 1350 = Rs 150

Discount for Rs.1500 = Rs.150
Therefore, the Discount for Rs.100 =  × 100 = 10%
Thus, the Percentage of discount = 10%. Answer                         (15 min)

­­Assignment/extended task:  Worksheet 01

1. Find gain or Loss per cent when:

(a) Cost Price =Rs.350 & Selling Price = Rs.400 

(b) Cost Price = Rs.250 & Selling Price = Rs.235

(c) Cost Price = Rs.300 and Profit = Rs.75

(b) Cost Price = Rs.720 and Loss = Rs.63

(e) Selling Price = Rs.1518 and Loss = Rs.132 

(f) Selling price = Rs.540 and Profit = Rs.60

2. Find cost price when: 

(a) Selling Price = Rs.795 and Profit % = 6%

(b) Selling Price = Rs.980 & Loss % = 12%

(c) Selling Price = Rs.66.95 & Profit % = 15.25%

(d) Selling Price = Rs.2640 & Loss = Rs.196

(e) Selling Price = Rs.216 & Loss % = 4%

(f) Selling Price = $ 504 & Profit % = 12%

3. Find selling price when:
(a) Cost Price = Rs.875 and Profit % = 5% 

(b) Cost Price = Rs.750 and Loss % = 15% 

(c) Cost Price = Rs.480 & Profit % = 12 ¹/₂%

(e) Cost Price = Rs.675 and Loss % = 92%

(f) Cost Price = Rs.1020 and Loss = Rs.109 

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