If the TV's original price was $500, at the auction, its price increased by 2/5*$500 = $<<2/5*500=200>>200

The total price at which the TV was sold at the auction is $500+$200 = $<<500+200=700>>700

The price of the phone also increased at the action, a 40% increase which is 40/100*$400 = $<<40/100*400=160>>160

The total price that the phone was sold for after the auction is $400+$160 = $<<400+160=560>>560

In total, the TV and the phone sold for $700+$560 = $<<700+560=1260>>1260 at the auction

# Answer

1260
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
At an auction event, the price of a TV, whose cost was $500, increased by 2/5 times its initial price. The price of a phone, which was $400, also increased by 40% from its original price. If Bethany had taken both items to the auction, calculate the total amount she received for the items after the sale at the auction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1260
At an auction event, the price of a TV, whose cost was $500, increased by 2/5 times its initial price. The price of a phone, which was $400, also increased by 40% from its original price. If Bethany had taken both items to the auction, calculate the total amount she received for the items after the sale at the auction.
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