Worksheet on Successive Discounts

In the previous topic, we have seen how successive discount works and how it is applied on the products. Under this topic, you will solve some problems based upon successive discounts. But, before that keep the following formula for calculating total discount in your mind:

Let ‘x%’ and ‘y%’ be the successive discounts on a product, then total discount is given by:

Total discount = \(x + y - \frac{xy}{100}\)%

Now, assume that ‘x%, ‘y%’ and ‘z%’ be the three successive discounts on a product, then total discount is calculated by first finding the total discount due to ‘x%’ and ‘y%’. Then, overall discount is calculated by calculating total discount between the previous total discount and ‘z%’. this can also be calculated by using the above mention formula twice.

Selling price = store/cost price - discount

Now try to solve the following problems:

1. The store/cost price of a certain object is Rs 1520. If the discount offered by the shopkeeper is 20%. Then calculate the discount amount and selling price of the object.

2. The marked price of a t-shirt in a showroom is $250. The discount offered by the owner is 30%. Calculate the discount amount and selling price of the t-shirt.

3. The store price of a book is $450. The successive discounts offered by the store on the book is 20% and 30%. Calculate the total discount and selling price of the book.

4. The store price of a table is $200. The successive discounts offered by the store is 10% and 15%. Calculate total discount and the selling price of the table.

5. The cost/store price of a cupboard is $800. If the successive discounts offered by the store owner is 20% and 22%. Then calculate the total discount and selling price of the cupboard.

6. Suppose and additional discount of 25% is offered on the cupboard in the previous question. Then, calculate the total discount and new selling price of the cupboard.

7. The cost price of a book is $150. If the successive discounts offered on the book is 5%, 10% and 15%. Then, calculate the total discount and selling price of the book.

8. The marked price of a shirt is Rs1850. If successive discounts offered by the store is 10% and ‘x%’. If selling price of the shirt is Rs1400. Then, calculate the value of ‘x’ and total discount offered.

9. The store price of a t-shirt is $600. If successive discounts of 15% and ‘x%’ is applied on the t-shirt and the selling price is found to be $450. Then, find the value of ‘x’. 

Answers:

1. Discount= Rs 304

S.P. = Rs 1216

2. Discount = $75

S.P. = $175

3. Total discount = 44%

Discount amount = $198

S.P. = $252

4. Total discount = 23.5%

S.P. = $153

5. Total discount = 37.6%

S.P. = $499.2

6. Total discount = 53.2%

S.P. = $374.4

7. Total discount = 27.325%

S.P. = $109.0125

8. x = 15.91%

Total discount = 24.319%

9. x = 11.76%

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