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Miller sold apples at 125% of what it cost him.

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Carcass
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Miller sold apples at 125% of what it cost him. [#permalink] New post   29 Apr 2019, 02:10
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Miller sold apples at 125% of what it cost him.

Quantity A
Quantity B
The profit made by selling 100 apples
The profit made by selling 200 apples at a further 10% discount


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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C
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grewhiz
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Re: Miller sold apples at 125% of what it cost him. [#permalink] New post   16 May 2019, 04:33
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Hi,

The answer here will be (B).

Consider the Cost Price of a single apple to be 'x'. Therefore, the Selling Price for a single apple will be 2.25x.

For 100 apples, the SP will be 2.25x * 100 = 225x - (i)
For 200 apples, the SP will be 2.25x * 200 = 450x, or the double of (i).

But there is a discount of 10% as well. Therefore, the value will become 450x * 0.9=405x.

405x > 225x, therefore the answer here is (B).

These calculations may become easier for you if you assume a value of each apple to be Rs. 100.

For instance, Option A will result in $225, while Option B will be a discount of 10% on double the amount obtained in Option A, i.e., a 10% discount on $450, which is $405. Since, 405 is greater than 225, the answer will be (B).
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Re: Miller sold apples at 125% of what it cost him. [#permalink] New post   20 May 2019, 06:42
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grewhiz wrote:
Hi,

The answer here will be (B).

Consider the Cost Price of a single apple to be 'x'. Therefore, the Selling Price for a single apple will be 2.25x.

For 100 apples, the SP will be 2.25x * 100 = 225x - (i)
For 200 apples, the SP will be 2.25x * 200 = 450x, or the double of (i).

But there is a discount of 10% as well. Therefore, the value will become 450x * 0.9=405x.

405x > 225x, therefore the answer here is (B).

These calculations may become easier for you if you assume a value of each apple to be Rs. 100.

For instance, Option A will result in $225, while Option B will be a discount of 10% on double the amount obtained in Option A, i.e., a 10% discount on $450, which is $405. Since, 405 is greater than 225, the answer will be (B).



Can you please explain why selling at 125% of his cost isn't equal to 1.25? If it cost him 1$ to purchase the apple, isn't 125% of $1 = $1.25?
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Re: Miller sold apples at 125% of what it cost him. [#permalink] New post   20 May 2019, 11:05
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This problem is difficult as long as you do not know the % change in the various steps.

Cost price is 100. Selling price is 125

100 apples * 100 (cost)= 10,000

125*100 apples = 12,500

profit is 2,500

The selling price 125 the discount of 10% is 125 * 0.9 = 112,5 * 200 apples = 22,500

The cost of 100 apples * 200 = 20,000

The profit is equal.

The answer is C
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Re: Miller sold apples at 125% of what it cost him. [#permalink] New post   16 May 2021, 22:56
Carcass wrote:
Miller sold apples at 125% of what it cost him.

Quantity A
Quantity B
The profit made by selling 100 apples
The profit made by selling 200 apples at a further 10% discount


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Let the cost price of 1 apple be \(x\)
So, selling price of each apple is \(\frac{125}{100}x = 1.25x\)
After the discount of 10%, selling price of each apple = \(0.9(1.25x) = 1.125x\)

Profit = SP - CP

Col. A: \(100[1.25x - x] = 25x\)
Col. B: \(200[1.125x - x] = 25x\)

Hence, option C
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Re: Miller sold apples at 125% of what it cost him. [#permalink]
16 May 2021, 22:56
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