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A salesman sells two identical jewelry boxes at the same pri

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amitmathew
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A salesman sells two identical jewelry boxes at the same pri [#permalink] New post   Updated on: 18 Oct 2018, 10:45
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A salesman sells two identical jewelry boxes at the same price to two different stores. at the first store, the price of the jewelry box is decreased by a 10% for a sale, and then increased by 20% for profit. at the second store, the price of the jewelry box is increased by 10% for profit, and then decreased 20% for a sale.

Quantity A
Quantity B
The profit on the jewelry box at the first store.
The percent difference from the jewelry box at the salesman's cost to the jewelry box's final cost at the second store.
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B

Originally posted by amitmathew on 18 Oct 2018, 00:26.
Last edited by Carcass on 18 Oct 2018, 10:45, edited 1 time in total.
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chetan2u
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Re: Quant Comparison Question - from TPR refresher worksheet [#permalink] New post   18 Oct 2018, 00:33
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amitmathew wrote:
A salesman sells two identical jewelry boxes at the same price to two different stores. at the first store, the price of the jewelry box is decreased by a 10% for a sale, and then increased by 20% for profit. at the second store, the price of the jewelry box is increased by 10% for profit, and then decreased 20% for a sale.

Quantity A: The profit on the jewelry box at the first store.

Quantity B: The percent difference from the jewelry box at the salesman's cost to the jewelry box's final cost at the second store.

Is B greater?



Let the price be100...
first store
100*(1-0.1)(1+0.2)=100*0.9*1.2=9*12=108
second store
100*(1+0.1)(1-0.2)=100*0.8*1.1=8*11=88

Quantity A: The profit on the jewelry box at the first store.
Profit = \(100*\frac{108-100}{100}\)=8%

Quantity B: The percent difference from the jewelry box at the salesman's cost to the jewelry box's final cost at the second store.
Cost at jewellery box = 100%, and at second store = 88%
So percent difference=|100-88|=12%

So B is greater.
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Re: Quant Comparison Question - from TPR refresher worksheet [#permalink] New post   18 Oct 2018, 01:13
That's what I got. Thanks!

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Re: A salesman sells two identical jewelry boxes at the same pri [#permalink] New post   11 Nov 2018, 21:20
amitmathew wrote:
A salesman sells two identical jewelry boxes at the same price to two different stores. at the first store, the price of the jewelry box is decreased by a 10% for a sale, and then increased by 20% for profit. at the second store, the price of the jewelry box is increased by 10% for profit, and then decreased 20% for a sale.

Quantity A
Quantity B
The profit on the jewelry box at the first store.
The percent difference from the jewelry box at the salesman's cost to the jewelry box's final cost at the second store.


Option A is only profit it is not % so option A could be anything while option B is fixed at 12%.
If B is the ans the question needs to be reworded
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Re: A salesman sells two identical jewelry boxes at the same pri [#permalink] New post   24 Apr 2022, 00:59
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Assume the price = $100
1st store
- Decreased 10% for sale = 90% x $100 = $90
- Increased 20% for profit = 120% x $90 = $108

2nd store
- Increase 10% for profit = 110 / 100 x $100 = $110
- Decrease 20% for sale = 80 / 100 x $110 = $88

Quantity A: The profit on the jewelry box at the first store = $108 / $100 x 100% = 8%
Quantity B: The percent difference from the jewelry box at the salesman's cost to the jewelry box's final cost at the second store = $100 - $88 / $100 x 100% = 12%
12% > 8%

Correct Answer: B) The Quantity B is greater
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Re: A salesman sells two identical jewelry boxes at the same pri [#permalink]
24 Apr 2022, 00:59
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