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The marked price of a garment is 100% higher than the cost price. If

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The marked price of a garment is 100% higher than the cost price. If [#permalink]

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How to solve the question below using sucessive discounts formula?

The marked price of a garment is 100% higher than the cost price. If it is sold at a price of $112 after applying successive discounts of 20% and 30% on the marked price, what is the profit (in dollars) obtained by selling the garment?

A) 12
B) 32
C) 54
D) 88
E) 100

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Re: The marked price of a garment is 100% higher than the cost price. If [#permalink]

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vitorcbarbieri wrote:
How to solve the question below using sucessive discounts formula?

The marked price of a garment is 100% higher than the cost price. If it is sold at a price of $112 after applying successive discounts of 20% and 30% on the marked price, what is the profit (in dollars) obtained by selling the garment?

A) 12
B) 32
C) 54
D) 88
E) 100

vitorcbarbieri - The question is a little confusing. There are two sell prices: one before the discount ("marked price") the other, after the discount.

The "marked price" gives you the cost of the item. Discounted price gives you the profit. And you derive the marked price from the discount price.

Actual discounted price yields original price

Marked price before successive discounts of 20 and 30 percent?

(I think the following formula is what you're after. Not positive.)*

(a + b + \(\frac{ab}{100})\) percent

\((20 + 30 + \frac{600}{100})\) percent

\((20 + 30 + 6) = 56\) percent

The discounted price is 56% of original marked price, call it x

$112 = .56x

\(\frac{$112}{(\frac{56}{100})}= 112 *\frac{100}{56}=$200\) = original price

Cost price?

The marked price is 100% higher than the cost price, c.

$200 = c + \(\frac{100}{100}\)c = 2c
$200 = 2c
c = $100

Profit?
Sell Price - Cost Price
$112 - 100 = $12

Answer A

Hope it helps.

*You can also derive this discount percentage by taking: 1) first discount: 1 - .20 = .80; 2) second discount: 1 - .30 = .70. Multiply them: (.8 * .7) = .56

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Re: The marked price of a garment is 100% higher than the cost price. If   [#permalink] 21 Nov 2017, 15:58
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