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

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

70% (00:37) correct 30% (01:17) wrong based on 20 sessions
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.
[Reveal] Spoiler: OA

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Re: Miller sold apples at 125% of what it cost him. [#permalink]  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]  20 May 2019, 06:42
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]  20 May 2019, 11:05
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Expert's post
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.

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Re: Miller sold apples at 125% of what it cost him.   [#permalink] 20 May 2019, 11:05
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