Question

Find the marked prices of the following, given the amount of discount.?
(a) A 7% discount which is $49
(b) a 33 1/3 (31 whole 1 over 3)% discount which is $270

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Answer 1

Given :

7% discount which is $49.

$31\frac{1}{3}$% discount which is $270

To find :

The Marked Prices of the given discounts.

Explanation:

(a) Let the marked price of the item be p

7% of p = 49

$\frac{7}{100}\times p=49$

0.07p = 49

$p=\frac{49}{0.07}$

p = 700

Marked Price = $700

(b) Let the marked price of the item be p

$31\frac{1}{3}$%  of p = 270

31.33% × p = 270

$\frac{31.33}{100}$ × p = 270

0.3133p = 270

p = $\frac{270}{0.3133}$

p = 861.7938 ≈ 861.80

Marked price = $861.80 approx.

(a) Marked price = $700

(b) Marked price = $861.80 approx.