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Algebra Level 1

You're given 2 gift vouchers for shopping, as shown above. The option A grants you a free second item after purchasing the product in the normal price. On the other hand, the option B gives you the discount of 40% for the first item and allows you to buy the second one at 60% cost of the first one.

Which option will save you more money?

Option B Both offer the same price Not enough information Option A

Worranat Pakornrat by Worranat Pakornrat , 36, Thailand

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2 solutions

Suppose the product's price equals to x x . For option A, we can buy 2 items at the (total) price of x x .

For option B, we will pay the first item at the cost of ( 60 % ) x (60\%)x and the second item at ( 60 % ) × ( 60 % ) x (60\%) \times (60\%)x .

The total cost then equals 0.60 x + 0.36 x = 0.96 x 0.60x+0.36x = 0.96x .

Therefore, option B will save more money than option A.

7 Helpful 0 Interesting 1 Brilliant 3 Confused

Moderator note:

Good clear presentation.

your concept was right but you can't correctly define the question ,that is you are actually say the second item of option B was bought at (in your statement) 60% offer of original price of item A (that means it can't consider the offer price of A) ,you just said it as just price but you can't correctly defined it(whether it is offer price or not) so nature of your question turned into original price of A

Imran Kabir - 4 years, 10 months ago

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You see I am a beginner and this text actually tells me more info that I need:

e.g 1st 40% off and 2nd 60% for the 1st 60% if I am right then 60% + 40% = 100% Which made me think then if it is 100% it means it saves you more money

Abdul Khan - 1 year, 6 months ago
Chetan Patil
Mar 25, 2018

Let us suppose that the price of the product is 100. In option A - we will be paying 100, 2nd one is free. In option B - first, we will pay 60 as it is 40% off. When we buy the second product, its price will be 40% of 60 which is 24. So the total price paid would be 60+24=84.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

"When we buy the second product, its price will be 40% of 60 which is 24." According to the problem, it's price should be 60% of 60

Csala Krisztián - 1 year, 5 months ago

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Ibrahim Momud - 1 year, 4 months ago

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