### Brain Teasers

# Mad Ade's Bank Account

Mad Ade went to the Madadian National Bank and checked his account there. He noted that he had 300 Madadian wonks (local currency), before he made a deposit, in his account.

At the same time Nutty Norman, Mad Ade's friend, was at the bank and noted that he had 450 Madadian Wonks in his account before making a withdrawal.

Outside Mad Ade and Nutty Norman were chatting and they discovered a couple of interesting facts.

1, After they had both made their respective transactions they both ended up having the same account balance.

2, The percentage increase in Mad Ade's account was the same as the decrease in Nutty Normans account.

So what was the account balance of each account and respective percentage changes of Mad Ade's and Nutty Normans accounts?

At the same time Nutty Norman, Mad Ade's friend, was at the bank and noted that he had 450 Madadian Wonks in his account before making a withdrawal.

Outside Mad Ade and Nutty Norman were chatting and they discovered a couple of interesting facts.

1, After they had both made their respective transactions they both ended up having the same account balance.

2, The percentage increase in Mad Ade's account was the same as the decrease in Nutty Normans account.

So what was the account balance of each account and respective percentage changes of Mad Ade's and Nutty Normans accounts?

### Answer

1. Mad Ade's account increased by 20% that means 60 Wonks so total 360 Wonks2. Nutty Norman's withdrawal percent is 20% that means 90 Wonks so balance is 360 Wonks.

so both have same account balance of 360 Madadian Wonks, and the increase and decreased percentage for each account was 20%

300 + 60(20% of 300) = 360

450 - 90(20% of 450) = 360

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## Comments

Rather than just state that each account changes by 20%, you should show how you get that figure.

450 - 150 * 450/(450+300) = 450 - 90 = 360

300 + 150 * 300/(450+300) = 300 + 60 = 360

The easy way to do this in your head without all the calculations is to observe that 150 goes into 300 twice and into 450 three times. 150/(2+3) = 30. So 300 + 2*30 = 360 and 450 - 3*30 = 360.

450 - 150 * 450/(450+300) = 450 - 90 = 360

300 + 150 * 300/(450+300) = 300 + 60 = 360

The easy way to do this in your head without all the calculations is to observe that 150 goes into 300 twice and into 450 three times. 150/(2+3) = 30. So 300 + 2*30 = 360 and 450 - 3*30 = 360.

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