Calculating Cost Price

We will learn how to solve different types of problems on calculating cost price.

Formulas to Calculate Cost Price

(i) If Selling Price of an article and gain on its selling are given, the Cost Price of the article will be Selling Price minus gain.

Cost Price = Selling Price - Gain

(ii) If Selling Price of an article and loss on its selling are given, the Cost Price of the article will be Selling Price plus loss.

Cost Price = Selling Price + Loss

For calculating cost price, we subtract profit from the selling price or add loss to the selling price.

C.P. = S.P. - Profit

or, C.P. = S.P. + Loss

Solved examples on Calculating Cost Price:

1. A merchant sold a table fan for $ 375 at a loss of $ 50. Find the Cost Price of a fan.

Selling Price of the fan   = $ 375

Loss                            = $ 50

Cost Price                     = Selling Price + Loss

                                   = $ (375 + 50)

                                   = $ 425.00

Therefore, the Cost Price of a fan is $ 425.00.

2. A book seller bought 12 copies of a book. He sold each of them at $ 20 and thus made a profit of $ 24 by selling all the books. What was the Cost Price of a book?

Selling Price of the book = $ 20 × 12

                                    = $ 240

Profit                             = $ 24

Cost Price                       = Selling Price - Profit

                                     = $ (240 - 24)

                                     = $ 216.

Thus, cost of 12 books   = $ 216

Cost of 1 book               = $ 216 ÷ 12

                                    = $ 18

Therefore, the Cost Price of a book is $ 18.

Let us consider some more examples on 

3. A shopkeeper sells a watch for $ 210 and earns a profit of $ 30. Find the cost price of the watch.

Solution:

S.P. of the watch = $ 210

                 Profit = $ 30

                   C.P. = S.P. - Profit

                         = $ 210 - $ 30

                         = $ 180

Therefore, the cost price of the watch = $ 180.

For more details please visit Calculate Cost Price using Sell Price and Profit Percent. and Calculate Selling Price using Cost and Profit Percent.

Worksheet on Calculating Cost Price

1. Find the cost price in each case.

(i) S .P. = $ 180; Profit = $ 25

(ii) S .P. = $ 435; Loss = $ 65

(iii) S .P. = $ 265; Loss = $ 15

(iv) S .P. = $ 1250; Profit = $ 50

(v) S .P. = $ 3125; Profit = $ 225

(vi) S .P. = $ 6318; Loss = $ 321

(vii) S .P. = $ 9009; Loss = $ 103

(viii) S .P. = $ 7743; Profit = $ 826

Answer:

1. (i) Cost Price = $155

(ii) Cost Price = $500

(iii) Cost Price = $280

(iv) Cost Price = $1200

(v) Cost Price = $2900

(vi) Cost Price = $6639

(vii) Cost Price = $9112

(viii) Cost Price = $6917

5th Grade Numbers Page

5th Grade Math Problems

From Calculating Cost Price to HOME PAGE