To Remove Border Around Image in blogger..Just go to HTML section of post..
There you can see a peace of code of Image.
it looks like this
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFIlwWMqzC2_I_OcHRsPBlTgOBqM1ruthbDFxHJ6el8jkX0Onm_telUBlKg3dCuxaHmhtBK3BD-XdltBQqIIyqnvWKijwEJmByS2P20aflAOy00ETL_-zRCaKeiq9upIqd1mqufJJ2R3Ue/s1600/Banks+in+Kasur.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFIlwWMqzC2_I_OcHRsPBlTgOBqM1ruthbDFxHJ6el8jkX0Onm_telUBlKg3dCuxaHmhtBK3BD-XdltBQqIIyqnvWKijwEJmByS2P20aflAOy00ETL_-zRCaKeiq9upIqd1mqufJJ2R3Ue/s1600/Banks+in+Kasur.jpg" ;" /></a></div>

Now just place this line  style="border-style: none;" just before this line  /></a> that u can find at the last of code..
After adding this line..the whole image code looks like this

<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFIlwWMqzC2_I_OcHRsPBlTgOBqM1ruthbDFxHJ6el8jkX0Onm_telUBlKg3dCuxaHmhtBK3BD-XdltBQqIIyqnvWKijwEJmByS2P20aflAOy00ETL_-zRCaKeiq9upIqd1mqufJJ2R3Ue/s1600/Banks+in+Kasur.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFIlwWMqzC2_I_OcHRsPBlTgOBqM1ruthbDFxHJ6el8jkX0Onm_telUBlKg3dCuxaHmhtBK3BD-XdltBQqIIyqnvWKijwEJmByS2P20aflAOy00ETL_-zRCaKeiq9upIqd1mqufJJ2R3Ue/s1600/Banks+in+Kasur.jpg" style="border-style: none;" /></a></div>

Now just Publish your post and see results..