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Q: What single discount is equivalent to two successive discounts of 15 percent and 7 percent?

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22.5%

When one of the discounts is an absolute discount (10 cents) and the other is relative (20%), it is not posible to give an answer without knowing the starting price.

Start with 100. 20% off leaves 80, 15% of 80 is 12, leaving 68, an overall reduction of 32%

Discount #1 = 40% Discount #2 = (100% - 40%) X 30% = 18% Discount #3 = (100% - 40% - 18%) X 10% = 4.2% Total discount off the original price = 40% + 18% + 4.2% = 62.2%

A discount is a percentage off the original price. For instance, a ten percent discount off a forty pound jacket would be £4. So 40 - 4 = £36

Related questions

22.5%

No, because successive discounts are taken on the discounted price after the first of the successive discounts. Therefore, 3 successive 5 % discounts will total to a smaller discount than one 15 % discount.

23.5% if the discounts are taken successively, 25 % if the discounts are taken at the same time. The latter is the less usual meaning of this question.

18.12%

It is 100*[1 - (1 - 9/100)*(1 - 14/100)] % = 100*[1 - 0.9*0.86] % = 100*[1 - 0.774] % = 100*0.226 % = 22.6 %

When one of the discounts is an absolute discount (10 cents) and the other is relative (20%), it is not posible to give an answer without knowing the starting price.

$21.60

Start with 100. 20% off leaves 80, 15% of 80 is 12, leaving 68, an overall reduction of 32%

Your question implies that the discounts are applied sequentially, that is the first is applied and then the second is applied to the reduced amount.: To work out the single equivalent discount, you need to work using the value after discount all the way through. A 15% discount can be calculated by working out 15% of the value and subtracting it, but this is also the equivalent of working out 100% - 15% of the original value, that is 85%. Similarly for the 20%, that is working out 100% - 20% = 80% of the original value. So the final value after both discounts is 80% of 85% of the original value which is 80% x 85% = 68% and represents a discount of 100% - 68% = 32%. Thus the discounts of 20% and 15% applied sequentially is equivalent to a single discount of 32%.

Let X be the original price .05X = first discount new price is X-.05X .20(X-.05X) = 2nd discount new price is X -.05X - .20(X-.05X) new price = X - .05X -.20X + .01X = X - .24X equiv discount = .24 = 24%

Yes, Haband definitely offers coupon codes and discounts. Currently, they are offering a 20 percent discount for all purchases over $25. They may have other discounts as well.

Apply a discount by doing this equation: T x 0.y=discount, y being the discount percentage. For $20 at a ten percent discount: T x 0.y or 20 x 0.10= 2.

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