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In a sale Tommy bought a kettle and a toaster. He paid a total of $105. The amount paid for the kettle is 2/5 the cost of the toaster. The total price before the discount should have been $133. The toaster was reduced by 20%. How much was the kettle reduced by?

 Nov 30, 2021
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Note:If we reduce a by b%, then final amount will

be = a - ab/100 

= a(100-b)/100.

Let the cost of the toaster is $x. 

Since the amount paid for the kettle is 2/5 the

cost of the toaster, then the cost of kettle will

be $ 2x/5.


 

 

 

 

According to the given conditions, 

x + 2x/5 = 105

Or, 7x/5 = 105

Or, x = 105*5/7 = 75

So, the cost of the toaster is = $75 and the cost of the kettle is = $(105-75) =$30.

Since the toaster was reduced by 20%, then before reduction its price was

 = $ 100*75/(100-20) = $ 93.75

Thus before reduction the price of kettle was = $(133-93.75) = $ 39.25

So, the percentage of reduction of the price of kettle is

 = ((39.25 - 30)*100)/30 = 23.5669%

Therefore required answer is 23.5669%.

 Nov 30, 2021

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