Another Simple Math Question?

It's easy.. So, the discounted price is 7.5% lesser..

Original price = 100%

Discounted price = 92.5%

You'll have to use 52.18/92.5 x100

And you'll get 56.41081081...

Round off to $56.41

The given datat is

discount =7 1/2%

money paid =52.18$

how much money will citizen pay without discount=?

SOLUTION

we know that

that origional number represents 100%

if discount percent is removed then the percent becomes 92.5%

Now we will find that number whose 92.5% is 52.18.that is easy

we know formula

percetage=amount/base*100%

base=amount*100/percetage....equation 1

here

amount=52.18$

percetage=92.5%

base=?

By putting the given values in the above equation you fin 56.41$ answer.

So the equation used to find the discount is

Original Price(1-Discount)=Discounted Price

so,

56.41(1-.075)=52.18

Let's rearrange the equation to go the opposite way. We can do this by dividing by (1-Discount).

so,

(1/(1-Discount))Original Price(1-Discount)=Discounted Price(1/(1-Discount))

so,

Original Price=(Discounted Price)/(1-Discount)

so,

52.18/(1-.075)=56.41

LET THE COST OF MEAL BEFORE DISCOUNT BE $ 100X

7.5 % DISCOUNT MEANS YOU PAY $ 92.5X

92.5X = 52.18

100X = 100 / 92.5 x 52.18 = 5218 /92.5 = $ 56.41 ANSWER

7.5% of x = x - 52.18

(x is the original price)

0.075x = x - 52.18

-0.925x = -52.18

0.925x = 52.18 now divide both sides by 0.925 and you will get x = 56.41