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# Help

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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

#1
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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%

Nov 30, 2021
#2
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Let the amount Paid for toaster = x

the amount Paid for Kettle = 2x/5

x + 2x/5 = 105

or (5x - 2x)/5 = 105

7x = 525

x = 75

Cost of Toaster = \$75

Cost of Kettle = 2/5 * 75 = \$30

Discount on Toaster = 20%
actual discount on toaster

= 20/100 * 75 = \$15

Total discount = 133 - 105 = \$28

discount on Kettle = 28 - 15 = \$13

Kettle was reduced by \$13

Apr 17, 2022
#3
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Let the price of the toaster==T
The price of the kettle ==2/5T

T + 2/5T ==105, solve for T
T ==\$75 - price of the toaster after 20%discount.
75 x 2/5==\$30 -price of the kettle before 20% discount.

T x 0.80 ==\$75, solve for T
T ==75 / 0.8 ==\$93.75 - price of the toaster before 20% discount
133 - 93.75 ==\$39.25 - price of the kettle before 20% discount.

1 - [30 / 39.25] ==23.567% - discount percentage on the kettle.

Apr 17, 2022
#4
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Let toaster be Paid = x

Kettle Paid = 2/5x = 2x

Total 7x = 105

x = 15

Kettle Price = 30

and Toaster Price = 75

Before discount Kettle Price 80% x = 30

=> x = 30/80 * 100

x = \$37.5

Price of toaster before reduced = \$95.5

reduced Price = 20.5/95.5 * 100

Kettle reduced = 21.4%

Apr 18, 2022
#5
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Total price before the discount -> \$193

He paid -> \$105

Suppose the price of toaster -> \$x

the toaster was reduced 20%
= x * 80/100 = 1/5 = \$4x/5

then, price paid of kettle = 4x/5 * 2/5

= \$8x/25

according to the clue

4x/5 + 8x/25 = 105

(20x + 8x)/25 = 105

x = 93.75 [Total price of kettle]

reduced price of kettle = 4x/5 = 4 * 93.75/5

= \$75

Difference = 93.75 - 75

= \$18.75

so, the kettle was reduced by \$18.75

Apr 18, 2022