Question

Vishakha offers a discount of 20% on all the items at her shop and still makes a profit of 12%. What is the cost price of an article marked at `280?

Answer 1

Answer:

197.12

Step-by-step explanation:

The discount on 280 is 20 percent which means

$=280 *20 /100\\= 280 * 0.2\\=56$

The remaining price is

$=280-56\\=224$

But still the profit is 12 percent of the remaining price i.e 224

$=224 * 12/100\\=224* 0.12\\=26.88$

The cost price is

$=224-26.88\\=197.12$

Answer 2

Step-by-step explanation:

sp=mp(1-d%)

sp = 280(1-12%) = 280(1-12/100)

= 280×.88 = 246.4

sp= cp(1+g%)

246.4 = cp(1+12%)

246.4 = cp(1+.12) = 1.12cp

cp = 246.4/1.12 = 220