x minus 24 percentage of x is equal to 38
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In these types of questions, first read the statement carefully and then make the equation and finally solve it.
![<u>Equation formed :</u> <u>Equation formed :</u>](https://tex.z-dn.net/?f=%26lt%3Bu%26gt%3BEquation+formed+%3A%26lt%3B%2Fu%26gt%3B)
![\tt{x - 24 \% \ of \ x = 38} \tt{x - 24 \% \ of \ x = 38}](https://tex.z-dn.net/?f=%5Ctt%7Bx+-+24+%5C%25+%5C+of+%5C+x+%3D+38%7D)
Whenever we remove the sign of %, then the![<b>number is divided by 100.</b> <b>number is divided by 100.</b>](https://tex.z-dn.net/?f=%26lt%3Bb%26gt%3Bnumber+is+divided+by+100.%26lt%3B%2Fb%26gt%3B)
![\tt{x - ( {\dfrac{24}{100}} ) \ of \ x = 38} \tt{x - ( {\dfrac{24}{100}} ) \ of \ x = 38}](https://tex.z-dn.net/?f=%5Ctt%7Bx+-+%28+%7B%5Cdfrac%7B24%7D%7B100%7D%7D+%29+%5C+of+%5C+x+%3D+38%7D)
Here, "of" denotes![<b>multiplication</b> <b>multiplication</b>](https://tex.z-dn.net/?f=%26lt%3Bb%26gt%3Bmultiplication%26lt%3B%2Fb%26gt%3B)
![\tt{x - ( {\dfrac{24}{100}} ) . x = 38} \tt{x - ( {\dfrac{24}{100}} ) . x = 38}](https://tex.z-dn.net/?f=%5Ctt%7Bx+-+%28+%7B%5Cdfrac%7B24%7D%7B100%7D%7D+%29+.+x+%3D+38%7D)
![\tt{x - ( {\dfrac{6}{25}} ) . x = 38} \tt{x - ( {\dfrac{6}{25}} ) . x = 38}](https://tex.z-dn.net/?f=%5Ctt%7Bx+-+%28+%7B%5Cdfrac%7B6%7D%7B25%7D%7D+%29+.+x+%3D+38%7D)
![\tt{x - {\dfrac{6x}{25}} = 38} \tt{x - {\dfrac{6x}{25}} = 38}](https://tex.z-dn.net/?f=%5Ctt%7Bx+-+%7B%5Cdfrac%7B6x%7D%7B25%7D%7D+%3D+38%7D)
LCM ( 1, 25 ) = 25
![\tt{ {\dfrac{25x - 6x}{25}} = 38} \tt{ {\dfrac{25x - 6x}{25}} = 38}](https://tex.z-dn.net/?f=%5Ctt%7B+%7B%5Cdfrac%7B25x+-+6x%7D%7B25%7D%7D+%3D+38%7D)
![\tt{ {\dfrac{19x}{25}} = 38} \tt{ {\dfrac{19x}{25}} = 38}](https://tex.z-dn.net/?f=%5Ctt%7B+%7B%5Cdfrac%7B19x%7D%7B25%7D%7D+%3D+38%7D)
Transposing
![\tt{x = {\dfrac{38 . 25}{19}}} \tt{x = {\dfrac{38 . 25}{19}}}](https://tex.z-dn.net/?f=%5Ctt%7Bx+%3D+%7B%5Cdfrac%7B38+.+25%7D%7B19%7D%7D%7D)
On solving these calculations, we get
![\tt{x = 50} \tt{x = 50}](https://tex.z-dn.net/?f=%5Ctt%7Bx+%3D+50%7D)
Hence,
Whenever we remove the sign of %, then the
Here, "of" denotes
LCM ( 1, 25 ) = 25
Transposing
On solving these calculations, we get
Hence,
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