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Question

Three partners shared the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months, 8 months and 7 months respectively . What was the ratio of their investment ?

10 : 14 : 16

25 : 18 : 32

38 : 28 : 21

20 : 49 : 64

ANSWER : 4

Descrption

<pre>
Let, their investment 
respectively for 14,8 and 7
month is  = 14x,<math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>8</mn><msub><mi>x</mi><mn>2</mn></msub><mo>&#xA0;</mo><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#xA0;</mo><mn>7</mn><msub><mi>x</mi><mn>3</mn></msub><mspace linebreak = "newline"/><mi>A</mi><mi>T</mi><mi>Q</mi><mo>,</mo><mo>&#xA0;</mo><mspace linebreak = "newline"/><mn>14</mn><msub><mi>x</mi><mn>1</mn></msub><mo>&#xA0;</mo><mo>:</mo><mo>&#xA0;</mo><mn>8</mn><msub><mi>x</mi><mn>2</mn></msub><mo>&#xA0;</mo><mo>:</mo><mo>&#xA0;</mo><mn>7</mn><msub><mi>x</mi><mn>3</mn></msub><mspace linebreak = "newline"/><mo> = </mo><mn>5</mn><mo>&#xA0;</mo><mo>:</mo><mn>7</mn><mo>&#xA0;</mo><mo>:</mo><mo>&#xA0;</mo><mn>8</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><msub><mi>x</mi><mn>1</mn></msub><mo>:</mo><msub><mi>x</mi><mn>2</mn></msub><mo>:</mo><msub><mi>x</mi><mn>3</mn></msub><mspace linebreak = "newline"/><mo> = </mo><mfrac><mn>5</mn><mn>14</mn></mfrac><mo>:</mo><mfrac><mn>7</mn><mn>8</mn></mfrac><mo>:</mo><mfrac><mn>8</mn><mn>7</mn></mfrac><mspace linebreak = "newline"/><mo> = </mo><mn>20</mn><mo>:</mo><mn>49</mn><mo>:</mo><mn>64</mn><mo>&#xA0;</mo></math>
</pre>

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