# How much did he pay for the car? [closed]

A man withdrew half the money that was in his bank account to buy a second-hand car, then sold the car two weeks later, receiving only three-quarters of the price he had paid for it. When he paid the money back into the bank account he found his bank balance was £600 less than it had been originally.

How much did he pay for the car?

He paid

£2400 for the car.

Originally his bank held £4800.
After buying the car, he had £2400 in the bank.
He sold the car for £1800.
The bank now has £4200.
Which is £600 less than when he started.

• Please don't post solutions to please-do-my-algebra-homework calculation puzzles. It only encourages them. – Gareth McCaughan Apr 25 '19 at 18:57
• @GarethMcCaughan oh ok, that was indeed how I solved it, without showing the working. – Weather Vane Apr 25 '19 at 18:59
• @GarethMcCaughan hmm, I didn't realise it was homework, that is usually more obvious to me on other SE sites I visit. – Weather Vane Apr 25 '19 at 19:13
• Full disclosure: It was a puzzle on the back of a match box that my grandfather had been struggling with for days. Apologies for being "off-topic", and thank you for helping him solve it, @WeatherVane. – Kelling Apr 25 '19 at 19:21
• I was only guessing that it was homework. Turns out I was kinda-right :-). My apologies, @Kelling, for being one notch too cynical. – Gareth McCaughan Apr 25 '19 at 20:32