# GMAT Math : Calculating discounts

## Example Questions

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### Example Question #31 : Discount

A lawn-mower is initially listed at . Its price is discounted  off the full price. An employee uses their discount at the register and is charged . What is the employee discount?

Explanation:

The relationship between the list price, , price rung up at the register, , the listed discount  and the unknown employee discount,  is

Substituting values

Solving for ,

### Example Question #32 : Calculating Discounts

A lawn-mower is initially listed at . Its price is discounted  off the full price. An employee uses their  discount at the register. How much did the employee save relative to the initial list price?

Explanation:

If the initial price is  and two discounts  and  are applied, the final sale price can be computed using

Inserting values this is:

The savings off list price is

.

### Example Question #31 : Calculating Discounts

A store is offering a discount on clothing purchases made today. It is giving a 10% discount on purchases that total $50.00 to$99.99, a 20% discount on purchases totalling $100.00 to$199.99, and a 30% discount on purchases totaling $200.00 or more. The discount applies only to clothing items; no other items are discounted today. Paris decides to purchase the following: Two bottles of perfume, one for$32 and one for $42; one handbag for$128; and one dress for $89. Disregarding tax, how much will she pay for these items? Possible Answers: Correct answer: Explanation: The only item of clothing among Paris's items is the dress. It costs$89, so Paris will get a 10% discount - that is, she will pay 90% of the price, or

She will pay full price for the other items, so she will pay a total of

.

### Example Question #31 : Calculating Discounts

A hat is discounted  percent; the sales tax on the hat is  percent. If  is the amount of money paid at the register, what was the price  of the hat before discount and tax?

Explanation:

Let  be the price of the hat, before discount and tax.

Taking  percent off the price of the hat is equivalent to charging  percent of the price of the hat, or multiplying the price of the hat by .

Analogously, adding  percent to the amount paid as tax is the same as multiplying the amount paid by  percent, or .

Therefore, the amount paid is

To find  in terms of the other variables:

### Example Question #31 : Discount

A bag is normally  but is on sale by . What is the purse's price to the nearest penny before tax?

Explanation:

To calculate a  discount, simply multiply the total by .2 and then subtract it from the original price.

### Example Question #104 : Problem Solving Questions

A store is offering a discount on clothing purchases made today. It is giving a  discount on purchases that total  to , a  discount on purchases totalling  to , and a  discount on purchases totaling  or more. The discount applies only to clothing items; no other items are discounted today.

Bryan decides to purchase the following: Two pairs of jeans that cost  each, two shirts that cost  each, and a bottle of cologne that costs . Disregarding tax, how much will Bryan pay for his items?

Explanation:

The discount will apply to the jeans and the shirts, which, together, cost

Clothing purchases between  and  are discounted 20%, so Bryan will pay  of the price of the items, or

Add to this the $18 cologne, which is not discounted: . ### Example Question #105 : Problem Solving Questions A store is offering a discount on all purchases made today, except for clothing items. It is giving a 10% discount on purchases that total$50.00 to $99.99, a 20% discount on purchases totaling$100.00 to $199.99, and a 30% discount on purchases totaling$200.00 or more.

Harvey purchases three shirts that cost $49 each, a bottle of cologne that costs$19, and a watch that costs $69. Disregarding tax, what will Harvey pay for the items? Possible Answers: Correct answer: Explanation: Harvey will receive a discount on the watch and the cologne; their prices total, before discount, . Since this purchase totals under$100, he will receive 10% off - that is, he will pay 90% of the original price, or

.

Add to this the price of the shirts, for which he will pay full price:

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