Iphone 5 charging slowly and discharging fast?

Hi, i have an iphone 5s it was working fine until its charging cable broke down, i tried to connect the wires of the cable and it charged for sometime but it was useless so i bought a new charging cable. Now it is charging very slowly and also discharging very rapidly, i have also checked other charging cables but it didn't work! Is this a problem of short circuited battery or what? Coz the repair shop told me to change its battery!

Either your battery is faulty or there's a problem in the charging circuit where the charging pins are attached

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