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Question

If w is 10% less than x and y is 30% less than z, then wy is what percent less than xz?

10%

20%

37%

40%

ANSWER : 3

Descrption

<pre>
W = x - xof 10%
 = x - <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>10</mn><mi>x</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mi>x</mi><mo> - </mo><mfrac><mi>x</mi><mn>10</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>10</mn><mi>x</mi><mo> - </mo><mi>x</mi></mrow><mn>10</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>9</mn><mi>x</mi></mrow><mn>10</mn></mfrac><mspace linebreak = "newline"/><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#xA0;</mo><mi>y</mi><mo> = </mo><mi>z</mi><mo> - </mo><mi>z</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mn>30</mn><mo>%</mo><mspace linebreak = "newline"/><mo> = </mo><mi>z</mi><mo> - </mo><mfrac><mrow><mn>30</mn><mi>z</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mi>z</mi><mo> - </mo><mfrac><mrow><mn>3</mn><mi>z</mi></mrow><mn>10</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>10</mn><mi>z</mi><mo> - </mo><mn>3</mn><mi>z</mi></mrow><mn>10</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>7</mn><mi>z</mi></mrow><mn>10</mn></mfrac><mspace linebreak = "newline"/><mi>w</mi><mi>y</mi><mo> = </mo><mfrac><mrow><mn>9</mn><mi>x</mi></mrow><mn>10</mn></mfrac><mo>&#xD7;</mo><mfrac><mrow><mn>7</mn><mi>z</mi></mrow><mn>10</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>63</mn><mi>x</mi><mi>z</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mi>x</mi><mi>z</mi><mo> - </mo><mfrac><mrow><mn>63</mn><mi>x</mi><mi>z</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>100</mn><mi>x</mi><mi>z</mi><mo> - </mo><mn>63</mn><mi>x</mi><mi>z</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mfrac><mrow><mn>37</mn><mi>x</mi><mi>z</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mi>x</mi><mi>z</mi><mo> = </mo><mfrac><mrow><mn>37</mn><mi>x</mi><mi>z</mi></mrow><mn>100</mn></mfrac><mspace linebreak = "newline"/><mn>1</mn><mo> = </mo><mfrac><mrow><mn>37</mn><mi>x</mi><mi>z</mi></mrow><mrow><mn>100</mn><mo>&#xD7;</mo><mi>x</mi><mi>z</mi></mrow></mfrac><mspace linebreak = "newline"/><mn>100</mn><mo> = </mo><mfrac><mrow><mn>37</mn><mi>x</mi><mi>z</mi><mo>&#xD7;</mo><mn>100</mn></mrow><mrow><mn>100</mn><mo>&#xD7;</mo><mi>x</mi><mi>z</mi></mrow></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>37</mn><mo>%</mo></math>
</pre>

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