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75% of a number when added to 75 is equal to the number. The number is : (1).150 (2).200 (3).225 (4).300

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75% of a number when added to 75 is EQUAL to the number. The number is : (1).150 (2).200 (3).225 (4).300

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\\\\Let\:that\:number\:is\:=x\\\\ATQ\:(According\:To\:Question),\\\\75\%\:of\:x+75=x\\\\\implies\frac{75}{100}x+75=x\\\\\implies x-\frac{75}{100}x=75\\\\\implies100x-75x=75\times100\\\\\implies25x=75\times100\\\\\implies x=\frac{75\times100}{25}\\\\\implies x=75\times4\\\\=\fbox{300 answer}\\\\\fbox{Option\:4\:is\:the\:correct\:option.}


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