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In a certain toy store, 20% of the international branded toys are the

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In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 26 Jul 2018, 00:03
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In a certain toy store, 20% of the international branded toys are the only premium category toys. If premium toys make up 10% of the total number of toys in the store, what percent of toys in the store are of international brands?

    A. 10%
    B. 20%
    C. 40%
    D. 50%
    E. 60%

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In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 26 Jul 2018, 00:13
EgmatQuantExpert wrote:
In a certain toy store, 20% of the international branded toys are the only premium category toys. If premium toys make up 10% of the total number of toys in the store, what percent of toys in the store are of international brands?

    A. 10%
    B. 20%
    C. 40%
    D. 50%
    E. 60%


Let's assume the total international branded toys are 100.

Since 20% of these toys are premium category toys, the total number of premium
category toys is 20. Now, 20 is the total number of toys in the store, which is 10%
of the total number of the store. The total number of toys in the store is 200.

Therefore, the total percentage or toys that are of international brands are \(\frac{100}{200} = 50\)% (Option D)
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Re: In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 26 Jul 2018, 00:16
0.2 * International=0.1 *total
So,international = 50% of total toys.
D

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Re: In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 26 Jul 2018, 00:19
1
0.20 × i (international) = p (premium)

0.2 i = 0.10 × T(Total )

i = 0.50 T

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Re: In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 26 Jul 2018, 00:27
A simple way to understand this problem is as follows:
(We need to find the value of C)
Assume that total number of toys are 100.
We know, 10% of the toys are Premium (10 toys) and only International Brands offer premium toys.
So,
\(A=10\)
\(D=0\)
\(G=10\)

Because 20% of the International Brands offer Premium toys, total number of premium toys is equal to -
\(x*\frac{20}{100} = 10\)
\(x=50\)

So
\(C=50\)
\(B=40\)

\(C=50\)
Therefore, 50% of the toys are of an International Brand.

Option D is correct
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In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 26 Jul 2018, 14:18
EgmatQuantExpert wrote:
In a certain toy store, 20% of the international branded toys are the only premium category toys. If premium toys make up 10% of the total number of toys in the store, what percent of toys in the store are of international brands?

    A. 10%
    B. 20%
    C. 40%
    D. 50%
    E. 60%

Assume 100 toys. 10 percent are premium:
(0.10*100) = 10 premium toys

All 10 premium toys are international

20% of all international toys, I, are premium

So 10 toys represent 20% of all international toys

\(10 = .20I\)
\(I=\frac{10}{0.2}=\frac{100}{2}=50\)

International toys: 50
Total toys: 100

International toys are 50% of all toys.

Answer D
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Re: In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 30 Jul 2018, 04:41

Solution



Given:
    • In a certain toy store, 20% of the international branded toys are the only premium category toys.
    • Premium toys make up 10% of the total number of toys in the store

To find:
    • What percent of toys in the store are of international brands

Approach and Working:
If we assume that there are total 100 toys in the store, then we can say,
    • Premium toys = 10% of 100 = 10

Now, these 10 toys are 20% of the international branded toys.
So, if we assume international branded toys are T in number, then we can say
    • 20% of T = 10
    Or, \(\frac{T}{5}\) = 10
    Or, T = 50

Therefore, international branded toys as a percentage of total toys = \(\frac{50}{100} * 100\) = 50%

Hence, the correct answer is option D.

Answer: D
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Re: In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 27 Aug 2018, 04:19
Let International Brands be "IT" and Total be "T"

so, IT * 20/100 = 10/100 * T,

therefore IT = 50/100 * T, so 50%
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Re: In a certain toy store, 20% of the international branded toys are the  [#permalink]

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New post 16 Nov 2018, 14:08
Hi All,

We're told that in a certain toy store, 20% of the INTERNATIONAL branded toys are the ONLY premium category toys and that premium toys make up 10% of the TOTAL number of toys in the store. We're asked to find the percentage of toys in the store that are international brands. This question can be solved by TESTing VALUES.

IF...
TOTAL number of toys = 100, then...
premium toys = 10% of 100 = 10, and
20% of the international toys are the ONLY premium toys...
so 20% of X = 10
(1/5)(X) = 10
X = 50

Number of International toys = 50
Total number of toys = 100
50/100 = 50%

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Re: In a certain toy store, 20% of the international branded toys are the &nbs [#permalink] 16 Nov 2018, 14:08
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