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The amount of money in Mr Tan’s wallet decreased by 25% to $450 after he bought a watch.  Later, he bought some clothes and his money decreased further by 30%.a)How much money was there in Mr Tan’s wallet at first?b)How much money was left in the end?

Question

The amount of money in Mr Tan’s wallet decreased by 25% to $450 after he bought a watch.  Later, he bought some clothes and his money decreased further by 30%.a)How much money was there in Mr Tan’s wallet at first?b)How much money was left in the end?

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Solution

a) To find out how much money Mr. Tan had in his wallet at first, we need to understand that the $450 is 75% of the original amount (because it decreased by 25%). We can set up the equation:

0.75X = $450

To solve for X (the original amount), we divide both sides of the equation by 0.75:

X = 450/0.75X=450 / 0.75 X = 600

So, Mr. Tan had $600 in his wallet at first.

b) After buying some clothes, Mr. Tan's money decreased by a further 30%. This means he has 70% of 450left.Wecanfindthisbymultiplying450 left. We can find this by multiplying 450 by 0.70:

4500.70=450 * 0.70 = 315

So, Mr. Tan had $315 left in the end.

This problem has been solved

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