Question

if a shopkeeper earns a profit of 20% then find the ratio of CP and SP of that article​

Answer 1

Step-by-step explanation:

Given :-

A shopkeeper earns a profit of 20%

To find:-

Find the ratio of CP and SP of that aarticle?

Solution:-

Let the Cost Price of an article be Rs. X

Profit on an article = 20%

We know that

Selling Price =[(100+g)CP]/100

=> SP = [(100+20)X]/100

=> SP = (120X)/100

=> SP = 6X/5

Selling Price =Rs. 6X/5

Ratio of the Cost Price to the Selling Price

=> CP : SP

=> X:(6X/5)

=> X/(6X/5)

=> X×5/(6X)

=> 5X/6X

=> 5/6

=> 5:6

CP : SP = 5:6

Answer:-

The ratio of the Cost Price and the Selling Price = 5:6

Used formulae:-

• Selling Price =[(100+g)CP]/100
• g = Profit or gain
• CP = Cost Price
• a:b can be written as a/b