Question

In a sale, the cost of a coat is reduced from $85 to $67.50 .
Calculate the percentage reduction in the cost of the coat.

Answer 1

Answer:

125.92592592593%

Step-by-step explanation:

Solution for 85 is what percent of 67.50:

85:67.50*100 =

(85*100):67.50 =

8500:67.50 = 125.92592592593

Now we have: 85 is what percent of 67.50 = 125.92592592593

Question: 85 is what percent of 67.50?

Percentage solution with steps:

Step 1: We make the assumption that 67.50 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=67.50$.

Step 4: In the same vein, $x\%=85$.

Step 5: This gives us a pair of simple equations:

$100\%=67.50(1)$.

$x\%=85(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{67.50}{85}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{85}{67.50}$

$\Rightarrow x=125.92592592593\%$

Therefore, $85 is 125.92592592593% of $67.50.

Answer 2

Answer:

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