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Mathematics

If (x + 1) : 8 = 3.75 : 7 then value of x is :

  1. 1271\dfrac{2}{7}

  2. 2272\dfrac{2}{7}

  3. 3273\dfrac{2}{7}

  4. 4274\dfrac{2}{7}

Ratio Proportion

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Answer

Given,

⇒ (x + 1) : 8 = 3.75 : 7

⇒x+18=3.757⇒x+18=3.757⇒x+18=375700⇒x+18=1528⇒x+1=1528×8⇒x+1=307⇒x=307−1⇒x=30−77⇒x=237⇒x=327.\Rightarrow \dfrac{x + 1}{8} = \dfrac{3.75}{7} \\[1em] \Rightarrow \dfrac{x + 1}{8} = \dfrac{3.75}{7} \\[1em] \Rightarrow \dfrac{x + 1}{8} = \dfrac{375}{700} \\[1em] \Rightarrow \dfrac{x + 1}{8} = \dfrac{15}{28} \\[1em] \Rightarrow x + 1 = \dfrac{15}{28} \times 8 \\[1em] \Rightarrow x + 1 = \dfrac{30}{7} \\[1em] \Rightarrow x = \dfrac{30}{7} - 1 \\[1em] \Rightarrow x = \dfrac{30 - 7}{7} \\[1em] \Rightarrow x = \dfrac{23}{7} \\[1em] \Rightarrow x = 3\dfrac{2}{7}.

Hence, option 3 is the correct option.

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