Some of the good tyres available for your car are Bridgestone B290, Apollo Amazer 4G, and MRF ZVTS. All of these tyres are well priced and offer decent performance. Our recommendation would be B290.
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Is 185/60 R13 recommended for alto 800 ?
Yes, 185/60 R13 is a valid upsize for Alto 800 and you can go ahead with it. But please keep in mind that tyres this wide may make the steering feel heavy, and the tyres may stick out of wheel arches. Even the fuel efficiency may drop because of the heavier tyres.
On the plus side, the vehicle will get better road grip and better braking efficiency.