# To find Cost Price when Selling Price and Profit or Loss are Given

We will learn how to find cost price when selling price and profit or loss are given.

1. By selling a laptop for $550, a profit of 10% is made. Find its cost price. Solution: Let cost price be$100

Profit = 10% of $100 = 10/100 ×$100

= $10 And selling price =$100 + $10 =$110; [we know, selling price = cost price + profit]

When selling price = $110, cost price =$100

When selling price = $1, cost price =$100/110

And, when selling price = $550, cost price =$100/110 × 550

Therefore, the cost price = $500 2. By selling an article for$270, a loss of 10% is made. Find the cost price of the article.

Solution:

Let cost price be $100 Loss = 10% of$100

= 10/100 × $100 =$10

And selling price = $100 -$10 = $90; [since, selling price = cost price - loss] When selling price =$90, cost price = $100 When selling price =$1, cost price = $100/90 And, when selling price =$270, cost price = $100/90 × 270 Therefore, the cost price =$300

More solved examples to find cost price when selling price and profit or loss are given:

3. An article was sold for $480 at a profit of 20%. Find the cost price of the article. Solution: Let cost price be$100.

Profit = 20% of $100 = 20/100 ×$100

= $20 And selling price =$100 + $20 =$120; [we know, selling price = cost price + profit]

When selling price = $120, then cost price =$100.

When selling price = $1, then cost price =$100/120.

And when selling price = $480, then cost price =$100/120 × 480

Therefore, the cost price = $400. 4. A man sold a watch to his friend at a loss of 5%. If his friend paid$190 for it, find the cost price of the watch.

Solution:

Let cost price be $100. Loss = 5% of$100

= 5/100 × $100 =$5

And selling price = $100 -$5= $95; [we know, selling price = cost price + profit] When selling price =$95, then cost price = $100 When selling price =$1, then cost price = $100/95 And when selling price =$190, then cost price = $100/95 × 190 Therefore, the cost price of the clock is$200.

Note:

I. Formula to find cost price when selling price and profit percent are given;

Cost price = 1/(profit% + 1) × selling price

II. Formula to find cost price when selling price and loss percent are given;

Cost price = 1/(loss% - 1) × selling price

To find Profit or Loss when Cost Price and Selling Price are Given

To find Selling Price when Cost Price and Profit or Loss are Given

To find Cost Price when Selling Price and Profit or Loss are Given

Examples on Profit and Loss

Calculate Profit Percent

Calculate Loss Percent

Calculate Profit or Loss Percent

Calculate Profit and Selling Price

Discount and Discount Percent

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Constructing a Line Segment |Construction of Line Segment|Constructing

Aug 14, 24 09:52 AM

We will discuss here about constructing a line segment. We know how to draw a line segment of a certain length. Suppose we want to draw a line segment of 4.5 cm length.

2. ### Construction of Perpendicular Lines by Using a Protractor, Set-square

Aug 14, 24 02:39 AM

Construction of perpendicular lines by using a protractor is discussed here. To construct a perpendicular to a given line l at a given point A on it, we need to follow the given procedure

3. ### Construction of a Circle | Working Rules | Step-by-step Explanation |

Aug 13, 24 01:27 AM

Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

4. ### Practical Geometry | Ruler | Set-Squares | Protractor |Compass|Divider

Aug 12, 24 03:20 PM

In practical geometry, we study geometrical constructions. The word 'construction' in geometry is used for drawing a correct and accurate figure from the given measurements. In this chapter, we shall…

5. ### Worksheet on Word Problems on Fractions | Fraction Word Problems | Ans

Aug 12, 24 02:23 AM

In worksheet on word problems on fractions we will solve different types of word problems on multiplication of fractions, word problems on division of fractions etc... 1. How many one-fifths

Profit And Loss - Worksheets

Worksheet on Calculating Profit or Loss

Worksheet on Calculating Selling Price

Worksheet on Cost Price and Selling Price

Worksheet on Calculating Profit or Loss Percent

Worksheet on Profit or Loss Percent