Ten people have died after a typhoon slammed into China's east coast, including a family of three who were all killed by electric shocks, state media reported Wednesday.

Five others are still missing after Typhoon Fitow brought heavy rains to Zhejiang province, Xinhua news agency reported, citing local authorities.

Fitow made landfall early Monday, affecting about seven million people in 11 cities in Zhejiang, with houses torn down and grain flooded, Xinhua reported.

In Wenzhou city, the storm claimed at least 10 lives -- eight of whom died of electric shocks, including the three family members, the agency reported late Wednesday, citing a statement from the local government.

Two others died after their car plunged into a river, the statement reportedly said.

Parts of Zhejiang, which neighbours the commercial hub Shanghai, saw nearly 29 centimetres (11 inches) of rain over 17 hours from Sunday to Monday, the official China News Service said.

On Wednesday, Xinhua said the rain had flooded roads and houses, causing river breaches and power failures, with more than 250,000 people still without power that morning.