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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, 01:03
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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, 01:13
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, 01:16
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, 01:19
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, 01:27
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, 15:18
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, 05:41

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, 05:19
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 &nbs [#permalink] 27 Aug 2018, 05:19
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