Is this a scam.help me

I am from India First, anyone here whose victus has a battery issue.i am just sick of this, sometimes my battery just stops giving the voltage,i know my laptop has enough charge(like 30-40 percent)but stilll it is shuts down and will not open until i connect the charge(the power button will not work until i connect the charger atleast for 1 sec to start my laptop).this happens atleast one time a day ,so to check the problem i opened the laptop and disconnected the battery and just ran through the charger and it was working perfectly. Then to solve the problem i called customer care and they diagnosed through remotely. all of them only the memory diagnosed is not fully done because i just think its not worth it how much time it takes , i think because of my storage(it took 5 something hours to diagnose only 14 percent,and i also dont think that is the problem.) After that i ask them to tell me about the new battery price, they sent me the official link and the price was like 100$(10000 inr) or more.this is shocking for me because the same battery from online is (30$-50$)(3000inr to 5000). [I use laptop from i wake up to sleep] I am just asking is it worth it to replace my battery from official HP or should i just buy my own and connect it . (Anyone here faced this problem or any another solution)