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.

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    $\begingroup$ Please don't post solutions to please-do-my-algebra-homework calculation puzzles. It only encourages them. $\endgroup$ – Gareth McCaughan Apr 25 '19 at 18:57
  • $\begingroup$ @GarethMcCaughan oh ok, that was indeed how I solved it, without showing the working. $\endgroup$ – Weather Vane Apr 25 '19 at 18:59
  • $\begingroup$ @GarethMcCaughan hmm, I didn't realise it was homework, that is usually more obvious to me on other SE sites I visit. $\endgroup$ – Weather Vane Apr 25 '19 at 19:13
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    $\begingroup$ 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. $\endgroup$ – Kelling Apr 25 '19 at 19:21
  • $\begingroup$ I was only guessing that it was homework. Turns out I was kinda-right :-). My apologies, @Kelling, for being one notch too cynical. $\endgroup$ – Gareth McCaughan Apr 25 '19 at 20:32

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