Here is discuss some basic tips for improve magento store performance.
Go to System > Configuration > Advanced > Developer
2. Always used latest magento version for store. When new version is update Keep update youe magento version time to time.
https://www.magentocommerce.com/download open this link and you can check latest version of magento.
3. Disable unused extension or module. In magento store use many extension and module so unused disable.
Go to System > Configuration > Advanced
Here all module and extension so you can disable any module.
4. Theme is very important role play in any magento store. So you used good theme so your store performance is better.
Purchased theme are best because also tested for use.
Hope these step helpful for you, Next article coming soon new tips for improve magento store performance. So keep update....